4.Suppose that the efficacy of a certain drug is 0.64. Consider the sampling distribution (sample size n = 92) for the proportion of patients cured by this drug. What is the mean of this distribution? What is the standard error of this distribution? (Round answer to four decimal places.)

10.Express the confidence interval30.8%4.6%30.8%4.6%in interval form. Express the answer in decimal format (do not enter as percents).

13.Test the claim that the proportion of men who own cats is larger than 32% at the .005 significance level.

The null and alternative hypothesis would be:

H0:p=0.32H0:p=0.32 H1:p0.32H1:p0.32

H0:p=0.32H0:p=0.32 H1:p>0.32H1:p>0.32

H0:p=0.32H0:p=0.32 H1:p<0.32H1:p<0.32

H0:=0.32H0:=0.32 H1:>0.32H1:>0.32

H0:=0.32H0:=0.32 H1:<0.32H1:<0.32

H0:=0.32H0:=0.32 H1:0.32H1:0.32

The test is:

two-tailed

left-tailed

right-tailed

Based on a sample of 40 people,25%25%owned cats The p-value is: (to 2 decimals) Based on this we:

• Fail to reject the null hypothesis
• Reject the null hypothesis

14.A professor using an open-source introductory statistics book predicts that 60% of the students will purchase a hard copy of the book, 25% will print it out from the web, and 15% will read it online. At the end of the semester she asks her students to complete a survey where they indicate what format of the book they used. Of the 126 students, 71 said they bought a hard copy of the book, 30 said they printed it out from the web, and 25 said they read it online. What would be the appropriate set of hypotheses for testing if the professor's predictions were accurate?

• H0: The actual proportion of students who purchase the hard copy of the book is 60%.

HA: The actual proportion of students who purchase the hard copy of the book is higher than 60%.

• H0: The distribution of the format of the book used by the students follows the professor's predictions.

HA: The distribution of the format of the book used by the students does not follow the professor's predictions.

• H0: The actual proportion of students who purchase the hard copy of the book is higher than 60%.

HA: The actual proportion of students who purchase the hard copy of the book is lower than 60%.

• H0: The distribution of the format of the book used by the students does not follow the professor's predictions. HA: The distribution of the format of the book used by the students follows the professor's predictions.