Suppose you and your friend are interested in the true proportion of students who study for a yearly exam. Your professor says that the true proportion of students who study is ppo. However, you both think that this is an underestimate, and believe the true proportion is higher. You wish to perform the following hypothesis test: : Ho p = Po Hap > Po Suppose you take a sample of n₁ students and find a sample proportion ô. Your friend takes a sample of n2 students and also finds the same sample proportion p. However, your friend sampled more students than you, or n₂ > n1. Further assume that ô po. You both calculate a test statistic for your hypothesis test. Which of the following statements is true? Your friends test statistic is larger in absolute value than your test statistic. The test statistics are the same. There are no claims that can be made about the relationship between the two test statistics. Your test statistic is larger in absolute value than your friends test statistic.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 13CR
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Suppose you and your friend are interested in the true proportion of students who study for a yearly exam. Your professor says that the true proportion of students who
study is ppo. However, you both think that this is an underestimate, and believe the true proportion is higher. You wish to perform the following hypothesis test:
:
Ho p = Po
Hap > Po
Suppose you take a sample of n₁ students and find a sample proportion ô. Your friend takes a sample of n2 students and also finds the same sample proportion p. However,
your friend sampled more students than you, or n₂ > n1. Further assume that ô po. You both calculate a test statistic for your hypothesis test.
Which of the following statements is true?
Your friends test statistic is larger in absolute value than your test statistic.
The test statistics are the same.
There are no claims that can be made about the relationship between the two test statistics.
Your test statistic is larger in absolute value than your friends test statistic.
Transcribed Image Text:Suppose you and your friend are interested in the true proportion of students who study for a yearly exam. Your professor says that the true proportion of students who study is ppo. However, you both think that this is an underestimate, and believe the true proportion is higher. You wish to perform the following hypothesis test: : Ho p = Po Hap > Po Suppose you take a sample of n₁ students and find a sample proportion ô. Your friend takes a sample of n2 students and also finds the same sample proportion p. However, your friend sampled more students than you, or n₂ > n1. Further assume that ô po. You both calculate a test statistic for your hypothesis test. Which of the following statements is true? Your friends test statistic is larger in absolute value than your test statistic. The test statistics are the same. There are no claims that can be made about the relationship between the two test statistics. Your test statistic is larger in absolute value than your friends test statistic.
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