6. Two researchers have independently collected data and each one will perform a
ID: 3131885 • Letter: 6
Question
6. Two researchers have independently collected data and each one will perform a hypothesis test for the same set of hypotheses based on their own set of data. The results show that researcher A used a sample size of = 400 and found a p-value associated with the observed value of the test statistic of .009; researcher B used a sample size of = 600 and found a p-value associated with the observed value of the test statistic of .011. Which of the following statements is TRUE? Circle your answer.
(a) Researcher A’s evidence in favor of the alternative hypothesis is stronger than B’s evidence because A’s p-value is smaller.
(b) Researcher B’s evidence in favor of the alternative hypothesis is stronger than A’s evidence because B’s sample size is larger.
(c) It cannot be determined which researcher has stronger evidence in favor of the alternative hypothesis because the sample sizes are not the same.
(d) It cannot be determined which researcher has stronger evidence in favor of the alternative hypothesis because the p-values are not the same.
Explanation / Answer
[ANSWER]
Researcher B’s evidence in favor of the alternative hypothesis is stronger
than A’s evidence because B’s sample size is larger.
when large in sample size gets the chance in large value of statistic
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