I know the answer is B because we have to pool the data. But I'm looking for an explanation of why we have to pool it. Why do we do it sometimes and not others?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
I know the answer is B because we have to pool the data. But I'm looking for an explanation of why we have to pool it. Why do we do it sometimes and not others?
![5. An SRS of 45 male employees at a large company found that 36 felt that the company was supportive
of female and minority employees. An independent SRS of 40 female employees found that 24 felt that
the company was supportive of female and minority employees. Let p, represent the proportion of all
male employees at the company and p, represent the proportion of all female employees members at the
company who hold this opinion. We wish to test the hypotheses H,: p, - p, = 0 vs. H: p, - p, <0. Which of
the following is the correct expression for the test statistic?
(A)
0.8 -0.6
(0.8)(0.2) (0.6)(0.4)
+
45
40
(B)
0.8-0.6
(0.706)(0.294) , (0.706)(0.294)
45
40
(C)
0.8-0.6
(0.706)(0.294) (0.706)(0.294)
45
40
(D)
0.8-0.6
(0.8)(0.2) , (0.6)(0.4)
V45
V40
(E)
0.8
0.6
(0.8)(0.2) ' (0.6)(0.4)
J45
V40](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb83ccd3a-d161-43e6-8f96-e32e0a75e38e%2F4c80681a-915e-401d-a7d6-a3d0e33ec581%2F5vwp8th_processed.png&w=3840&q=75)
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