Question

An insurance company collects data on​ seat-belt use among drivers in a country. Of 1000 drivers 20-29 years​ old, 18​% said that they buckle​ up, whereas 377 of 1300 drivers 45-64 years old said that they did. At the 5​% significance​ level, do the data suggest that there is a difference in​ seat-belt use between drivers 20-29 years old and those 45-64?

Let population 1 be drivers of age 20-29 and let population 2 be drivers of age 45-64.

Use the​ two-proportions z-test to conduct the required hypothesis test. What are the hypotheses for this​ test?

A.

H0: p1≠p2, Ha: p1=p2

B.

H0: p1>p2, Ha: p1=p2

C.

H0: p1=p2, Ha: p1<p2

D.

H0: p1=p2, Ha: p1≠p2

E.

H0: p1<p2, Ha: p1=p2

F.

H0: p1=p2, Ha: p1>p2

Calculate the test statistic.

z= ____

p=____

Which of the following is the correct conclusion for the hypothesis​ test?

A.

At the 5​% significance​ level, reject H0​; the data do not provide sufficient evidence to accept Ha.

B.

At the 5​% significance​ level, do not reject H0​; the data provide sufficient evidence to accept Ha.

C.

At the 5​% significance​ level, do not reject H0​; the data do not provide sufficient evidence to accept Ha.

D.

At the 5​% significance​ level, reject H0​; the data provide sufficient evidence to accept Ha.

Answer 1