Conduct the following test at the level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether . Sample data are , , , and . (a) Determine the null and alternative hypotheses. Choose the correct answer below. A. versus B. versus C. versus Your answer is correct.D. versus (b) The test statistic is nothing. (Round to two decimal places as needed.)
Answers
Answer:
Hello your question is poorly written the complete question is attached below
answer :
a) H0 : p1 = p2
Ha : p1 ≠ p2
b) Z = -0.58
c) P-value = 0.561915
d) we will reject the Alternative hypothesis
Step-by-step explanation:
For sample 1 ; n1 = 254 , x1 = 28
For sample 2 ; n2 = 301 , x2 = 38
level of significance ∝ = 0.01
P1 = X1 / n1 = 28 / 254 = 0.1102
P2 = X2 / n2 = 38 / 301 = 0.126
a) Determine the null and alternate hypothesis
H0 : p1 = p2
Ha : p1 ≠ p2
b) Determine Test statistic
we perform a Z-statistic to test the hypothesis
Z = [tex]\frac{p1-p1 }{\sqrt{( p(1-p)*(\frac{1}{n1}+\frac{1}{n2}) ) } }[/tex] -------- ( 1 )
p = ( x1 + x2 ) / ( n1 + n2 )
= ( 28 + 38 ) / ( 254 + 301 ) = 0.1189
Where: p = 0.1189 , p1 = 0.1102 , p2 = 0.126 ( input values into equation 1 )
∴ Z = -0.58
c) Determine P-value
P-value = 0.561915 ( using excel function )
d) conclusion : since p-value > 0.01 ( level of significance ) we do not reject the null hypothesis. therefore it proves that p1 = p2
Related Questions
Five surf shops sell the same pair of flip-flops for the following prices: $17.00, $15.50, $15.00, $18.00, $15.00. Find the mean, median, and mode of the data to determine which measure of center and which measure of variability best describe the data.
The mean is $
. The median is $
. The mode is $
.
The
best describes the data, so the
is the better measure of variability.
Answers
Answer:
Mean: $16.1
Median: $15.00
Mode:$15.00
The mode best describes the data, so the mean is the better measure of variability.
Step-by-step explanation:
How to find the mean:
Add up each value on the data set, then divide it by the number of values on the data set. (Example: $17.00 + $15.50+$15.00+$18.00+$15.00= 80.5/5=16.1)
How to find the median: Order your values from least to greatest, then find the value in the center.
How to find mode: Look for the most frequent value in the data set. What value shows up the most?
Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].
Here, the mode best describes the data, so the mean is the better measure of variability.
What is the mean, median, mode?
Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value.
Here given data is
$[tex]17.00[/tex], $[tex]15.50[/tex], $[tex]15.00[/tex], $[tex]18.00[/tex], $[tex]15.00[/tex]
Here,
Mean is the sum of all values divided by number of observation
i.e,
[tex]\frac{17.00+15.50+15.00+18.00+15.00}{5}=\frac{80.5}{5}\\\\\\=16.1[/tex]
Median is the middle value of the data, firstly we arrange the data in ascending order
[tex]15.00,15.00,15.50,17.00,18.00[/tex]
So, the middle value is [tex]15.50[/tex] $.
Mode is the repetition of the same number in the data
[tex]15.00,15.00,15.50,17.00,18.00[/tex]
Then, [tex]15.00[/tex] is the mode of the given data.
Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].
Here, the mode best describes the data, so the mean is the better measure of variability.
To know more about the mean, median and mode
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If the area of a right-angled triangle is 47 56 cm and its height is 11.6 cm. finds its base.
Answers
Answer:
820
Step-by-step explanation:
Hi so if your area is 4756, the base would be 820
3 m
150°
3. What is the area of the sector outlined by the dark line?
a. 150 m
b. 28.3 m
c. 11.8 m²
d. 3 m
Answers
Answer:
Area of sector = 11.8 m² (Approx.)
Step-by-step explanation:
Given:
Radius of a circle = 3 m
Given angle = 150°
Find:
Area of sector
Computation:
Area of sector = [θ/360][π][r]²
Area of sector = [150/360][22/7][3]²
Area of sector = [150/360][22/7][9]
Area of sector = [150/360][3.1428][9]
Area of sector = [0.4167][3.1428][9]
Area of sector = [1.345][9]
Area of sector = 11.789
Area of sector = 11.8 m² (Approx.)
Solve for x using
multiplication.
cross
X - 2
x3
x + 2
=
4
3
x = [?]
Answers
Answer:
x = 14Step-by-step explanation:
[tex] \frac{x - 2}{3} = \frac{x + 2}{4} [/tex]
=> 4(x-2) = 3(x+2) [Cross Multiplication]
=> 4x - 8 = 3x + 6
=> 4x - 3x = 8 + 6
=> x = 14 (Ans)
Select the correct answer.
f(x)=21 + 3?
41 – 8
Which graph shows the asymptotes of the function
Answers
Answer:
answer is b jejejejsjsjwj
A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
Answers
The length of each side of a square is 10 cm.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know, the perimeter of a rectangle is 2(length×width) and the perimeter of a square is 4×(side).
Given, The length and width of the rectangle are 13cm and 7 cm respectively.
Therefore, the perimeter of the rectangle is = 2(13×7) = 2×20 = 40 cm.
So, The perimeter of the square is also 40 cm.
Therefore, The length of the side is 4×side = 40.
side = 40/4.
side = 10 cm.
learn more about squares here :
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Find the measure of 26.
4 6 = [?]
249
46
Answers
Answer:
Solution given:
<6+24=180[co- interior angle]
<6=180-24=156°
<6=156°
What is the volume of this container?
Answers
Answer:
420
Step-by-step explanation:
Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.
Answers
During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
temperatures. However, high temperatures are possible for people who do not have the flu. It is estimated that
12% of those without the flu have high temperatures.
If a student has a high temperature, what is the probability that the student has the flu?
Answers
Answer:
0.8015 = 80.15% probability that the student has the flu
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has high temperature.
Event B: Has the flu
Probability of a student having high temperatures:
90% of 35%(have the flu)
12% of 100 - 35 = 65%(do not have the flu). So
[tex]P(A) = 0.9*0.35 + 0.12*0.65 = 0.393[/tex]
Probability of having high temperatures and the fly?
90% of 35%, so
[tex]P(A \cap B) = 0.9*0.35 = 0.315[/tex]
If a student has a high temperature, what is the probability that the student has the flu?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.315}{0.393} = 0.8015[/tex]
0.8015 = 80.15% probability that the student has the flu
What is 38,807 rounded to the nearest thousand?
Answers
Answer:
that would be 39,00
Step-by-step explanation:
Answer:
39,000
Step-by-step explanation:
807 is closer to 1,000 then 0 so add another 1,000.
Have a great day!
Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total
amount paid, and the cost of the mortgage?
Answers
You need 12 and it cost 50k
Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500
Answers
Answer:
A sample of 139 should be taken.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of $3,000.
This means that [tex]\sigma = 3000[/tex]
How large a sample should be taken if the desired margin of error is $500?
A sample of n is needed.
n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3000[/tex]
Dividing both sides by 500
[tex]\sqrt{n} = 1.96*6[/tex]
[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]
[tex]n = 138.3[/tex]
Rounding up:
A sample of 139 should be taken.
Emily ha 6 pounds of grapes. She splits the grapes into smaller 1/3 pound bunches. How many bunches of grapes can she make ?
Answers
Answer:
2
Step-by-step explanation:
2 because 6 multipled by 1/3 is 2 and 2 multipled 3 is 6
help help please i did not understand
Answers
Answer:
The tree grows 3,14 centimeters per year
Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.
Step-by-step explanation:
Given g(x) = -5x – 4, solve for x when g(x) = 1.
Answers
Answer:
g (1) = -5(1) -4
-5-4
-9............. .......
Step-by-step explanation:
-5(1)-4=-5-4=-9 Answer
hope it helps
Tucker purchased $4,600 in new equipment for a catering business. He estimates that the value of the equipment is reduced by approximately 40% every two years. Tucker states that the function V(t)=4,600(0.4)2t could be used to represent the value of the equipment, V, in dollars, t, years after the purchase of the new equipment. Explain whether the function Tucker stated is correct, and, if not, determine the correct function that could be used to find the value of the equipment purchased.
Answers
The function stated by Tucker is incorrect.
V(t) = 4600(0.8)^t
Step-by-step explanation:
Given the function :
V(t)=4,600(0.4)2t
The initial value of equipment = 4600
Decay rate = 40% of very 2 years
The value of equipment t years after purchase
The exponential decat function goes thus :
V(t) = Initial value * (1 - decay rate)^t
The Decay rate per year = 40% /2 = 20% = 0.2
V(t) = 4600(1 - 0.2)^t
V(t) = 4600(0.8)^t
Find the measure of A as indicates in the picture.
In case the picture blurs
Top angle = x + 63
Left angle = x + 96
Right angle = x + 149
Answers
Answer:
∠A = 58°
Step-by-step explanation:
all triangles contain 180°
180° - 149° = 31°
x + 63° + x + 96° + 31° = 180°
combine like terms:
2x + 190° = 180°
2x = -10°
x = -5°
∠A = -5° + 63° = 58°
Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate for the graph below?
Answers
Answer:
The answer is c : avacodos cost 5.00 each
Step-by-step explanation:
I just need help with this is anyone can help I would be happy Thx
Answers
Answer:
24 sq cm
Step-by-step explanation:
the big square is 20 and the small one is 4
5•4=20
2•2=4
20+4=24.
I hope that’s help
✋
Recall that if there is an intruder, system A sounds an alarm with probability 0.9 and system B sounds an alarm with probability 0.95. If there is no intruder, system A sounds an alarm with probability 0.2 an system B sounds an alarm with probability 0.1. Now assume that the probability of an intruder is 0.4. Also assume that under a given condition (intruder or not), systems A and B operate independently. If both systems sound an alarm, what is the probability that an intruder is detected
Answers
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n
12 The points (-15, -3) and (-7, -1) both lie
in the graph of the linear function
y = f(x). What is the rate of change of
f(x) with respect to x?
Answers
rate of change is 1/4
Step-by-step explanation:
What are the factors of 25x^2 – 9y^2?
A. (x-9y)(25x+y)
B. (x+9y)(25x-y)
C. (5x-3y)(5x-3y)
Answers
Hope it helps
6 (x+3) < 3(2x+6)
What is x ?
Answers
Answer:
no solution
Step-by-step explanation:
6x + 18 < 6x + 18
0 < 0 is not a true statement, no solutions
Naomi's fish is 40 millimeters long. Her guinea pig is 25 centimeters long.
How much longer is her guinea pig than her fish?
Answers
Explanation 1:
Her guinea pig is
25 cm long.
25 cm = 250 mm
Her fish is 40 mm long, so her guinea pig is longer than her fish by
25 cm − 40 mm = 250 mm − 40 mm = 210 mm= 21 cm
Explanation 2:
First, lets convert the length of Naomi's guinea pig from cm to mm.
1 cm=10 mm
We can multiply each side of the equation by 25 to obtain the length of the guinea pig in mm.
25 × 1 cm = 25 × 10 mm
25 cm = 250 mm
Because we have a length of the guinea pig and the fish in a common metric we can subtract the two values: 250 mm − 40 mm = 210 mm The guinea pig is 210 millimeters longer than the fish. Or, if we want to convert this to centimeters we can divide by 10: 210 millimeters 10 = 21 centimeters
Hope this helps have a good day/night!
:21 ezz it is 21 centimeters
Which of the following equations is true? 3 + 1 = 3 . 0
Answers
You only put one equation in
Does anyone know what the answer please?
Answers
Answer:
<1 = 76
Step-by-step explanation:
<1 + 51 + 53 = 180
<1 + 104 = 180
<1 = 180 - 104
<1 = 76
The table below shows the amount of rainfall in Maryville during each week of April. What was the total amount of rainfall in the month of April?
Week 1: 2 2/3
Week 2: 1/8
Week 3: 1 3/4
Week 4: 1/2
Answers
Answer:
Step-by-step explanation:
Just add the fractions after finding the common denominator 3 times 8 = 24
Please check my math and typing for accuracy.
Week 1: 2 2/3 = 8/3 x 8/8 = 64/24
Week 2: 1/8 = 1/8 x 3/3 = 3/24
Week 3: 1 3/4 = 7/4 x 6/6 = 42/24
Week 4: 1/2 = 1/2 x 12/12 = 12/24
= (64+3+42+12)/24
= 121/24 24 times 5 = 120
= 5 1/24
having trouble on this ixl
Answers
Answer:
1/2
Step-by-step explanation:
Since they sold 3 cupcakes of each section, it would be a 50/50 chance that the next one would be either.
In the geometric sequence below, what is the common ratio?
Sequence: 64,16,4,1
Answers
9514 1404 393
Answer:
1/4
Step-by-step explanation:
The common ratio is the ratio of successive terms:
16/64 = 4/16 = 1/4
The common ratio is 1/4.