Homework 19

Problems

Section 9.2:

Instructions: For these problems, you may use the pwr.norm.test() function in the R package pwr to compute sample sizes, powers, Type II error rates, etc., as we did in class.

Reminder: The power of a hypothesis test is the probability that we reject the null hypothesis when the null hypothesis is false, which is \(1 - \beta\) where \(\beta\) is the Type II Error Rate.

• 17c
• 18ef
• 19c
• 27bc

Section 9.3:

• 38 (test the hypothesis using the \(P\)-value for the observed test statistic)
• 40 (test the hypothesis using the \(P\)-value for the observed test statistic)

Section 9.4:

Instructions: Be sure you test the hypotheses by using the \(P\)-value for the observed test statistic.

• 46
• 47
• 49 (use pt to find the exact \(P\)-value for the observed test statistic.)
• 51
• 52
• 54