Answered: 8.4. 3. In a survey of 480 drivers from…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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8.4. 3. In a survey of

480

drivers from the South,

392

wear a seat belt. In a survey of

340

drivers from the Northeast,

293

wear a seat belt. At

α=0.07,

can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).

(a) Identify the claim and state

and

Ha.

The claim is "the proportion of drivers who wear seat belts in the South is

(1)

in the Northeast."

Let

represent the population proportion for the South, and

represent the population proportion for the Northeast. State

and

Ha.

Choose the correct answer below.

H0:

p1=p2

Ha:

p1≠p2

H0:

p1>p2

Ha:

p1≤p2

H0:

p1<p2

Ha:

p1≥p2

H0:

p1≠p2

Ha:

p1=p2

H0:

p1≥p2

Ha:

p1<p2

H0:

p1≤p2

Ha:

p1>p2

(b) Find the critical value(s) and identify the rejection region(s).

The critical value(s) is(are)

nothing.

(Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.)

Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.)

and

<z<

z=nothing

(Round to two decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis.

Choose the correct answer below.

Fail to reject

because the test statistic

in the rejection region.

Fail to reject

because the test statistic

is not

in the rejection region.

Reject

because the test statistic

is not

in the rejection region.

Reject

because the test statistic

in the rejection region.

(e) Interpret the decision in the context of the original claim.

Choose the correct answer below.

At the

significance level, there is

sufficient

evidence to support the claim.

At the

significance level, there is

insufficient

evidence to support the claim.

At the

significance level, there is

insufficient

evidence to reject the claim.

At the

significance level, there is

sufficient

evidence to reject the claim.

(1)

greater than

different than

less than

the same as

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