(a) For a given data, suppose a null hypothesis Ho is rejected at significance level a = 1%. True or False: With the same data, the null hypothesis Ho will also be rejected at significance a = = 5%. (b) Consider a one-tailed t-test for a null hypothesis Ho: 20. True or False: Larger values of the t-statistic provide more evidence for the null. (c) True or False: Assuming everything else remains the same, in order to reduce the width of a 95%-confidence interval by a factor of four, we need twice as many data points.

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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(a) For a given data, suppose a null hypothesis Ho is rejected at significance level a = 1%.
True or False: With the same data, the null hypothesis Ho will also be rejected at
significance a = 5%.
(b) Consider a one-tailed t-test for a null hypothesis Ho: μ ≥ 0.
True or False: Larger values of the t-statistic provide more evidence for the null.
(c) True or False: Assuming everything else remains the same, in order to reduce the width
of a 95%-confidence interval by a factor of four, we need twice as many data points.
Transcribed Image Text:(a) For a given data, suppose a null hypothesis Ho is rejected at significance level a = 1%. True or False: With the same data, the null hypothesis Ho will also be rejected at significance a = 5%. (b) Consider a one-tailed t-test for a null hypothesis Ho: μ ≥ 0. True or False: Larger values of the t-statistic provide more evidence for the null. (c) True or False: Assuming everything else remains the same, in order to reduce the width of a 95%-confidence interval by a factor of four, we need twice as many data points.
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