When comparing two sample proportions with a two-sided alternative hypothesis, all other factors being equal, will you get a smaller p-value if the sample proportions are close together or if they are far apart? Explain. Choose the correct answer below. O A. The p-value will be smaller if the sample proportions are far apart because a larger difference results in a pooled proportion closer to 0.5, and a pooled proportion close to 0.5 results in a smaller standard error, which is the denominator of the test statistic. O B. The p-value will be smaller if the sample proportions are close together because closer proportions results in a smaller standard error, which is the denominator of the test statistic. OC. The p-value will be smaller if the sample proportions are close together because the difference between them is smaller. O D. The p-value will be smaller if the sample proportions are far apart because larger difference results in a larger absolute value of the numerator of the test statistic.
When comparing two sample proportions with a two-sided alternative hypothesis, all other factors being equal, will you get a smaller p-value if the sample proportions are close together or if they are far apart? Explain. Choose the correct answer below. O A. The p-value will be smaller if the sample proportions are far apart because a larger difference results in a pooled proportion closer to 0.5, and a pooled proportion close to 0.5 results in a smaller standard error, which is the denominator of the test statistic. O B. The p-value will be smaller if the sample proportions are close together because closer proportions results in a smaller standard error, which is the denominator of the test statistic. OC. The p-value will be smaller if the sample proportions are close together because the difference between them is smaller. O D. The p-value will be smaller if the sample proportions are far apart because larger difference results in a larger absolute value of the numerator of the test statistic.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:When comparing two sample proportions with a two-sided alternative hypothesis, all other factors being equal, will you get a smaller p-value if the sample proportions are close together or if they are far apart? Explain.
Choose the correct answer below.
- A. The p-value will be smaller if the sample proportions are far apart because a larger difference results in a pooled proportion closer to 0.5, and a pooled proportion close to 0.5 results in a smaller standard error, which is the denominator of the test statistic.
- B. The p-value will be smaller if the sample proportions are close together because closer proportions result in a smaller standard error, which is the denominator of the test statistic.
- C. The p-value will be smaller if the sample proportions are close together because the difference between them is smaller.
- D. The p-value will be smaller if the sample proportions are far apart because a larger difference results in a larger absolute value of the numerator of the test statistic.
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