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

An
insurance company collects data on seatbelt use among U.S. drivers.
Of 1000 drivers,
25-34
years old, 270 said that they buckle up, whereas 330 of 1100
drivers 45-64 years old said
that
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drivers 25-34 years old buckle up
less
often than drivers who are between 45-64 years old.

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