Question

question 1

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1. Consider a significance test for a null hypothesis versus a two-sided alternative. State all values of a standard normal test statistic z that will give a result significant at the 10% level but not at the 5% level of significance. (Sec. 6.2)

2. You perform 1,000 significance tests using α = 0.01. Assuming that all the null hypotheses are true, how many of the test results would you expect to be statistically significant? Explain your answer. (Sec. 6.3)

3. One way to deal with the problem of misleading P-values when performing more than one significance test is to adjust the criterion you use for statistical significance. The Bonferroni correction procedure for k independent hypothesis tests at an overall level of significance α requires conducting each individual test at the α/k level of significance. You perform 5 independent tests of significance and observe the following     P-values: 0.0773, 0.0524, 0.0308, 0.0127, and 0.0098. Which of these tests are statistically significant using the Bonferroni correction procedure with α = 10%. (Sec. 6.3)

Answer 1

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