Answered: of adults in a certain country would…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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Question

A research center claims that

29%

of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of

1000

adults in that country,

33%

say that they would travel into space on a commercial flight if they could afford it. At

α=0.10,

is there enough evidence to reject the research center's claim?

(a) Identify the claim and state

and

Ha.

Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.

(Type an integer or a decimal. Do not round.)

No more than

nothing%

of adults in the country would travel into space on a commercial flight if they could afford it.

nothing%

of adults in the country would travel into space on a commercial flight if they could afford it.

The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not

nothing%.

At least

nothing%

of adults in the country would travel into space on a commercial flight if they could afford it.

Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State

and

Ha.

Select the correct choice below and fill in the answer boxes to complete your choice.

(Round to two decimal places as needed.)

H0:

p=nothing

Ha:

p≠nothing

H0:

p<nothing

Ha:

p≥nothing

H0:

p≥nothing

Ha:

p<nothing

H0:

p≤nothing

Ha:

p>nothing

H0:

p>nothing

Ha:

p≤nothing

H0:

p≠nothing

Ha:

p=nothing

(b) Use technology to find the P-value.

Identify the standardized test statistic.

z=nothing

(Round to two decimal places as needed.)

Identify the P-value.

P=nothing

(Round to three decimal places as needed.)

(c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.

▼

Fail to reject

Reject

the null hypothesis. There

▼

is not

enough evidence to

▼

reject

support

the research center's claim.

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