Question

5. In​ 1997, a survey of 940 households showed that 166 of them use​ e-mail. Use...

5. In​ 1997, a survey of 940 households showed that 166 of them use​ e-mail. Use those sample results to test the claim that more than​ 15% of households use​ e-mail. Use a 0.05 significance level. Use this information to answer the following questions

a. Which of the following is the hypothesis test to be​ conducted?

A.H 0 : p =0.15

H 1 : p > 0.15

B. H 0 : p = 0.15

H 1 : p < 0.15

C.H 0 : p > 0.15

H 1 : p = 0.15

D. H 0 : p ≠ 0.15

H 1 : p = 0.15

E. H 0 : p = 0.15

H 1 : p ≠ 0.15

F.H 0 : p < 0.15

H 1 : p = 0.15

What is the test​ statistic?

Z=___

​(Round to two decimal places as​ needed.)

c. What is the​ P-value?

​P-value=____

​(Round to three decimal places as​ needed.)

d. What is the​ conclusion?

There is not sufficient evidence to support the claim that more than​ 15% of households use​ e-mail.

There is sufficient evidence to support the claim that more than​ 15% of households use​ e-mail.

e. Is the conclusion valid​ today? Why or why​ not?

A. Yes, the conclusion is valid today because the requirements to perform the test are satisfied.

B. No, the conclusion is not valid today because the population characteristics of the use of​ e-mail are changing rapidly.

C. You can make no decisions about the validity of the conclusion today.

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