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Solved: Simulation Simulate drawing 100 simple random
Chapter , Problem 38AYU(choose chapter or problem)
Simulation Simulate drawing 100 simple random samples of size n = 40 from a population whose proportion is 0.3.
(a) Test the null hypothesis \(H_0:p=0.3\) versus \(H_1:p \ne 0.3\) for each simulated sample.
(b) If we test the hypothesis at the \(\alpha=0.1\) level of significance, how many of the 100 samples would you expect to result in a Type I error?
(c) Count the number of samples that lead to a rejection of the null hypothesis. Is it close to the expected value determined in part (b)?
(d) How do we know that a rejection of the null hypothesis results in making a Type I error in this situation?
Questions & Answers
QUESTION:
Simulation Simulate drawing 100 simple random samples of size n = 40 from a population whose proportion is 0.3.
(a) Test the null hypothesis \(H_0:p=0.3\) versus \(H_1:p \ne 0.3\) for each simulated sample.
(b) If we test the hypothesis at the \(\alpha=0.1\) level of significance, how many of the 100 samples would you expect to result in a Type I error?
(c) Count the number of samples that lead to a rejection of the null hypothesis. Is it close to the expected value determined in part (b)?
(d) How do we know that a rejection of the null hypothesis results in making a Type I error in this situation?
ANSWER:Step 1 of 5
Given:
100 simple random samples of size n = 40 from a population whose proportion is 0.3.