An online health and medicine company claims that about 50% of Internet users would go to an online sight first for information regarding health and medicine. A random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet. Test the claim that less than 50% of Internet users get their health questions answered online.

Answers

Answer 1

Answer:

The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.

Step-by-step explanation:

Test the claim that less than 50% of Internet users get their health questions answered online.

At the null hypothesis, we test that 50% of Internet users get their health questions answered online, that is:

[tex]H_0: p = 0.5[/tex]

At the alternate hypothesis, we test that this proportion is less than 50%, that is:

[tex]H_a: p < 0.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]

A random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet.

This means that [tex]n = 1318, X = \frac{606}{1318} = 0.4598[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.4598 - 0.5}{\frac{0.5}{\sqrt{1318}}}[/tex]

[tex]z = -2.92[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.4598, which is the p-value of z = -2.92.

Looking at the z-table, z = -2.92 has a p-value of 0.0018.

The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.


Related Questions

find the sum of the first 10 terms of the geometric sequence. NO LINKS!!!!

Answers

9514 1404 393

Answer:

  9. about 5.785712587

  10. 1023

Step-by-step explanation:

The sum of n terms of a geometric series with first term a₁ and common ratio r is given by ...

  [tex]S_n=a_1\times\dfrac{r^n-1}{r-1}[/tex]

__

9. a₁ = 9/2, r = 2/9

  [tex]S_{10}=\dfrac{9}{2}\cdot\dfrac{1-(2/9)^{10}}{1-(2/9)}=\dfrac{498111911}{86093442}\approx5.785712587[/tex]

__

10. a₁ = -3, r = -2

  [tex]S_{10}=-3\cdot\dfrac{(-2)^{10}-1}{-2-1}=1023[/tex]

Literally anything helps

Answers

Answer:

B

Step-by-step explanation:

1.5 x 1.5 x 3.6 = 8.1

8.1/2 = 4.05 cm^3

Help can someone find the zeros for
F(x) = x^2 -25x + 24

Answers

Answer:

Variable form: x=24 and x=1

Point form: (24,0) and (1,0)

Step-by-step explanation:

f(x) = x² - 25x + 24

0 = x² - 25x + 24

0 = (x-24)(x-1)

0 = x - 24 and x - 1 = 0

24 = x and x = 1

Therefore, the zeroes of the function are (24,0) and (1,0)

mr doyle shares 1 roll of bulletin board paper equally with 8 teacher.The total length of the roll is 72 meters. How

Answers

If he has 72 meters to divide evenly among 8 teachers, you’d be solving the equation 72 divided by 8 which is equal to 9. The answer is that each teacher gets 9 meters of bulletin board paper.

please helppp with these questions

Answers

Answer:

1) 113.0 m^2

2) 12.6 ft^2

3) 50.2 in^2

4) 153.9 m^2

5) 254.3 yd^2

Step-by-step explanation:

pi (3.14) times radius squared

1) 3.14 times 6^2 (36)

113.04

2) diameter is given, divide by 2 to find radius

3.14 times 4^2

12.56

A particular dress requires 4 1/4 yards of fabric for manufacturing. If the matching jacket requires 1/6 yards less fabric, how much fabric is needed for both pieces? Need answer now!

Answers

Answer: A total of 8 1/3 yards of fabric is needed for both pieces.

Step-by-step explanation: First, you must subtract 1/6 from 4 1/4 to figure out how many yards of fabric is needed for the matching jacket. To do this, you have to find common denominators for each fraction. Since the fractions have a least common denominator of 12, change each fraction to satisfy this new denominator: 1/6 changes to 2/12 and 4 1/4 changes to 4 3/12. Now, you must subtract: 4 3/12 - 2/12 = 4 1/12. Therefore, the matching jacket requires 4 1/12 yards of fabric. Next, add the amount of fabric for the dress (4 3/12) to the amount of fabric for the matching jacket (4 1/12): 4 3/12 + 4 1/12 = 8 4/12. Simplify 8 4/12 to get a final answer of 8 1/3 yards of fabric in total.

A particular dress requires 25/3 yards of fabric for manufacturing is needed for both pieces.

What are arithmetic operation?

Arithmetic operations are a set of four basic operations to be performed to add, subtract, multiply or divide two or more quantities.

According to the question

A particular dress requires 4 1/4 yards of fabric for manufacturing.

If the matching jacket requires 1/6 yards less fabric.

Jacket need = [tex]4\frac{1}{4} -\frac{1}{6}[/tex]

= [tex]\frac{17}{4} -\frac{1}{6}[/tex]

= [tex]\frac{49}{12}[/tex]

Add the Jacket fabric and dress fabric

Together we need = [tex]\frac{17}{4} +\frac{49}{12}[/tex]

= [tex]\frac{100}{12}[/tex]

= [tex]\frac{25}{3}[/tex]

A particular dress requires 25/3 yards of fabric for manufacturing is needed for both pieces.

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How would I complete these answers?

Answers

so, we can say that therefore, the sample of 20 cheerleaders used for the study provides the solution to the issue.

Describe sample.

A sample is a controlled, abridged version of a bigger group. It is a demographic subset containing characteristics from a larger population. Samples are used in statistical testing when population sizes are too large to accommodate all prospective participants or observers in the experiment.

The 20 cheerleaders that are used as a sample for this study are.

Explanation: Because only 20 cheerleaders were chosen from high schools in California for the research of the banana influence on speed and endurance, the sample available was limited to those 20 cheerleaders. As a result, the sample's results were based on those 20 cheerleaders.

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What is the area of the circle if BC = 6cm?

Answers

Answer:

[tex]A=9\pi cm^{2}[/tex][tex]=28.27cm^{2}[/tex]

Step-by-step explanation:

If  BC= 6

then r = BC/2 = 6/2 = 3cm

[tex]A=\pi r^{2} =\pi (3)^{2} =9\pi[/tex]

[tex]A=28.27cm^{2}[/tex]

Hope this helps

. Three subtracted from 2 times a number equals 15. What is the number?

Answers

Answer:

The number is 9.

Step-by-step explanation:

Using algebra, let c be the number you are finding.

2c -3 = 15

2c = 18

c = 9

Hence, the number is 9.

What is the range of f(x) = 3* + 9?
O {yly<9}
O {yly>9}
O {yly> 3}
O {yly<3}

Answers

On solving the provided question, we can say that - the range [tex]|x + 1| = 0[/tex] [tex]x + 1 = 0 = > x = -1[/tex] and [tex]y = 3[/tex]

What is range?

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

[tex]|x + 1| = 0\\x + 1 = 0\\x = -1[/tex]

[tex]y = |-1 + 1| + 3\\y= 0 + 3\\y = 3[/tex]

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Find the midpoint of the line segment with endpoints:
(9, -5/2) to (-5, -3/2)
Answer must be as a point, using integers or reduced fractions for coordinates.

Answers

Answer:

Step-by-step explanation:

Midpoint formula is x3 = (x1+x2)/2, y3=(y1+y2)/2

so x3=(9-5)/2=2, y3=(-5/2-3/2)/2=-2.

the coordinates is (2, -2).

N over 7 = 20
Solve for N

Answers

Answer: 140

Step-by-step explanation: N/7=20, so we have to isolate N. Hence, we multiply 7x7 because we are dividing by 7. We must multiply the other side too, so it is 140.

Answer:

N/7 = 20.

Cross multiply.

N x 1 = 20 x 7

N = 140.

Question 4 of 10
Find the difference. Enter your answer in the box below as a fraction, using
the slash mark (/) for the fraction bar.
8-7
14 14

Answers

There is a 2/17 difference between 16/17 and 14/17 as 17 is the shared denominator of both fractions.

what is fractions ?

A whole can be represented by any number of equal parts, or fractions. The number of units of a particular size is expressed as a fraction in standard English. 8, 3/4. Fractions are included in wholes. Numbers are expressed in mathematics as the ratio of the numerator to the denominator. In simple fractions, each of these is an integer. A complicated fraction contains a fraction in either the numerator or denominator. There is a difference between the numerators and denominators of true fractions. A sum that is a fraction of a whole is referred to as a fraction. You can evaluate it by dissecting the whole into smaller pieces. For example, 12 is used to represent one-half of a full number or item.

Given,

To get the difference between 16/17 and 14/17, discover their common denominator first.

17 is the shared denominator of both fractions.

To solve, multiply the result by the numerator of the fractions, then divide the sum by the common denominator:

16 - 14/17 (16 - 14) = 2/17 is the solution.

Therefore, there is a 2/17 difference between 16/17 and 14/17.

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Solve the equation Sin(X)=-1 on the interval [0,360)

Answers

Therefore , the solution of the given problem of trigonometry comes out to be x = nπ where nЄ Z (where n is an integer).

What is trigonometry?

The mathematical field of trigonometry investigates relationships between triangle sides and angles. Because every straight-sided form may be reduced to a collection of triangles, trigonometry is a fundamental concept in all of geometry. The relationships between trigonometry and other branches of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, are astonishingly intricate.

Here,

[tex]e^{x}[/tex] is a function that increases across all of space  (d[[tex]e^{x}[/tex] ]/dx = [tex]e^{x}[/tex]  which is never negative), it must be that so it must be that [tex]e^{u}[/tex] crosses y=1 just once, or at u = 0. To demonstrate this:

In[tex]e^{sinx}[/tex]= In 1

sin x = 0

And when x = "0, 0", "2", we would have that sin x = 0 in [0, 2"]. In general, we would then have that x = n, where n Z, because of the periodicity of sin (where n is an integer).

Therefore , the solution of the given problem of trigonometry comes out to be x = nπ where nЄ Z (where n is an integer).

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I ALWAYS DO MY BROS WORK sO can u help him?

Answers

Answer: 10

Step-by-step explanation:

The interquartile range is the whole box but not the whiskers, so lowest number to highest number you take these two and subtract thus the answer is 10

20 - 30 = 10

HELP PLSSS i'm lost help plssssss

Answers

Answer:

The first one is 1/2, 0.5, and 50%

The second one is 1/4, 0.25, and 25%

Step-by-step explanation:

NO LINKS! ILL MARK YOU BRAINIEST IF YOU ANSWER CORRECTLY
Which expression is equivalent to 5(2x - 30) ?

A. 10x - 30
B. 10x - 150

Answers

It’s B
5(2x-30)
So 5(2x)+5(-30)
10x-150
The answer is B 10x-150. Hope this helps :)!

The model below represents the equation 4x + 6 - 9. Use the model to solve for x.

Answers

Answer:

4x + 6 = 9

4x = 9 -6

4x = 3

x = 3/4

The net of a rectangular prism is shown.
8 in.
2 in.
2 in...-... 8 in......... 2 in.,
6 in.
2 in.:
What is the surface area of the rectangular prism?
O A. 60 square inches
O B. 94 square inches
O c. 96 square inches
OD. 152 square inches
O E. 200 square inches

Answers

It should be D. Because the equation is 2(width+ height + length

Draw a number line and put the following numbers in the correct location

2.5, -6, -3, 4, -2.2, 1/4, -1/2, 2 1/3

Answers

Therefore , the solution to the given problem of order comes out to be

-6< -3< -2.2 < -1/2 < 1/4 < 2[tex]\frac{1}{3}[/tex] < 2.5 < 4.

What is order?

Numerical order can be used to organise a set of numbers. It is possible to use both increasing and decreasing ordering. Consider how a set of numbers would seem if they were organized in ascending order like 2, 55, 103, 256, and 802, for example. This can make sorting through a huge collection of numbers much easier.

Here,

Given : 2.5, -6, -3, 4, -2.2, 1/4, -1/2, 2 1/3

To put them according to ascending order :

So ,

negative terms are the smallest compare to positive terms as their values are lower than 0.

thus,

-6< -3< -2.2 < -1/2 < 1/4 < 2[tex]\frac{1}{3}[/tex] < 2.5 < 4

Therefore , the solution to the given problem of order comes out to be

-6< -3< -2.2 < -1/2 < 1/4 < 2[tex]\frac{1}{3}[/tex] < 2.5 < 4.

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Whats 78 × 4 × 56 × 7 ×2


This is random just for fun:)

Answers

Answer: 244608

Step-by-step explanation: Multiply all of the numbers!

Answer:

I think it’s 244608

Step-by-step explanation:

Big number XoX

please help me answer this question.

Answers

The distance between points E(-8, 7) and L(-1, 4) on the coordinate plane is √58 units

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

The distance between two points in the coordinate plane is given as:

[tex]Distance=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The distance between points E(-8, 7) and L(-1, 4) is:

[tex]EL = \sqrt{(4-7)^2+(-1-(-8))^2}=\sqrt{58}[/tex]

The distance is √58 units

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Helpppppppppppp again sorryyyyyyyyyy

Answers

90 and i think 180. Sorry I just know it’s 90 for sure

noah's family bought some fruit bars to put in the gift bags. They bought one box each of four flavors: apple, strawberry,blueberry,and peach

Answers

Answer: 8

Step-by-step explanation:

Im guessing this is your question

Noah's family bought some fruit bars to put in the gift bags. They bought one box each of four flavors: apple, strawberry, blueberry, and peach. The boxes all had the same number of bars. Noah wanted to taste the flavors and ate one bar from each box. There were 28 bars left for the gift bags. Use the tape diagrams to determine how many fruit bars were originally in each box.

Answer:

Step-by-step explanation:

x-5

me bye u see okay later

.
The table shows the number of pools sold by the Allied Pool company over a six month period.
Allied Pool Sales
Month
Number of
Pools Sold
Feb.
11
Mar.
10
Apr.
12
May
16
June
15
July
18


According to the above table, what was the average number of pools sold per month during this period? Round to the nearest tenth if necessary.

Answers

According to the table, the average number of pools sold per month during this period is 14 (to the nearest tenth)

What is average?

It is defined as the ratio of summation of all the data to the number of units present in the list. It can also be the middle value, calculated by dividing the total of all the values by the number of values.

The average can also be defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

It is represented mathematically as;

Average = Sum of Values/Number of Values

Average = total swimming pools sold in six months / number of months

Average = (11 + 10 + 12 + 16 + 15 + 18) / 6

Average = 82/6

Average = 13.7

Average = 14 (to the nearest tenth)

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helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Correct answer is B

Answer:

B.

Step-by-step explanation:

comment if u need explanation :))

Find the missing side. Round to
the nearest tenth.
10
33°
х
x = [ ?
]

Answers

Answer:

x = 15.4

Step-by-step explanation:

Reference angle = 33°

Opposite side reference angle = 10

Adjacent side = x

Therefore, we would apply the trigonometric function, TOA.

Thus:

Tan 33° = Opposite/Adjacent

Tan 33° = 10/x

Multiply both sides by x

x*Tan 33° = 10

Divide both sides by Tan 33°

x = 10/Tan 33°

x = 15.3986496

x = 15.4 (nearest tenth)

17.
Marita purchased an item for 25% off the original price, plus an additional 20% off the
sale price. She also had a $10-off coupon, which the salesclerk applied after these two discounts. Marita's
final purchase price for the item was $30. Assuming she paid no sales tax, what was the original price of the
item Marita purchased?

Answers

Answer:

Marita had a $10-off coupon, so she paid $50 - $10 = $40 for the item

Step-by-step explanation:

To find the original price of the item, we need to work backwards through the discounts and find the price of the item before any discounts were applied.

We'll call the original price of the item "x."

First, we know that Marita received a 25% discount on the item, which means she paid 100% - 25% = 75% of the original price.

Then, Marita received an additional 20% discount on the sale price, which means she paid 100% - 20% = 80% of the 75% discounted price.

So, Marita paid 80% of the original price, which was reduced by a 25% discount. That means she paid 0.8 * 0.75 = 0.6 * original price = $30.

Therefore, the original price of the item was $30 / 0.6 = $<<30/0.6=50>>50.

Finally, Marita had a $10-off coupon, so she paid $50 - $10 = $40 for the item.

can an integer be a decimal or a fraction? I know -1,-2,-3,-4,-5 and so on is a Integer but I'm really confused with decimals and fractions (and I'm not doing this to answer a question I need it to help me answer a question not the Exact answer And if you help me you an AWSOME person and ill look up to you :) and give you all my points) ( I have 10 :( )

Answers

Answer:

no an interger can not be a decimal or a fraction an integer is a whole number

Step-by-step explanation:

Segment
B
D

BD
bisects

A
B
C
∠ABC. Solve for
x
x. Round to the nearest tenth, if necessary. (Image not necessarily to scale.)

Answers

The value of x on the line segment and the triangle is 17.3 units

How to determine the value of x

From the question, we have the following parameters that can be used in our computation:

A triangle (see attachment for the triangle)

Also from the question, we understand that:

BD bisects ∠ABC

Using the bisector theorem, we have

x/13 = 20/15

Multiply both sides of the equation by 13

So, we have the following representation

13 * x/13 = 20/15 * 13

Evaluate the products

So, we have the following representation

x = 20/15 * 13

Evaluate the other products

So, we have the following representation

x = 52/3

This gives

x = 17.3

Hence, the length x is 17.3 units

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