# MAT1005-Assume that the significance level is ?=0.05

Subject: Mathematics / Statistics
Question
15. Assume that the significance level is ?=0.05. Use the given information to find the? P-value and the critical? value(s).With H1: p?13?, the test statistic is z=?1.15.

P-value=________(round 4 decimal places as needed.)

The critical? value(s) is/are _______(Round to two decimal places as needed. Use a comma to separate answers as? needed.)

16. Identify the type I error and the type II error that correspond to the given hypothesis. The percentage of high school students who graduate is less than 55%

Identify the type I error. Choose the correct answer below.

A.

Reject the null hypothesis that the percentage of high school students who graduate is less than 55% when that percentage is actually less than 55%

B.

Reject the null hypothesis that the percentage of high school students who graduate is less than 55% when that percentage is actually equal to 55%

C.

Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when that percentage is actually less than 55%.

D.

Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when that percentage is actually equal to than 55%.

Identify the type II error. Choose the correct answer below.

A.

Reject the null hypothesis that the percentage of high school students who graduate is less than 55% when that percentage is actually less than 55%

B.

Reject the null hypothesis that the percentage of high school students who graduate is less than 55% when that percentage is actually equal to 55%

C.

Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when that percentage is actually equal to 55%.

D.

Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55% when that percentage is actually less than 55%.

17. In a Harris? poll, adults were asked if they are in favor of abolishing the penny. Among the? responses, 1268 answered? “no,” 493 answered? “yes,” and 367 had no opinion. What is the sample proportion of yes? responses, and what notation is used to represent? it?

Choose the correct answer below.

A.

P=0.280.

The symbol p is used to represent a sample proportion.

B.

P=0.232.

The symbol p is used to represent a sample proportion.

C.

^p=0.280.

The symbol

^p is used to represent a sample proportion.

D.

^p=0.232.

The symbol

^p is used to represent a sample proportion.