Answered: A research center claims that 30% of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Question

A research center claims that

30%

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

1100

adults in that country,

34%

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

α=0.05,

is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.

(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.)

At least

enter your response here%

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

3030%

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

enter your response here%.

No more than

enter your response here%

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>enter your response here

Ha:

p≤enter your response here

H0:

p≥enter your response here

Ha:

p<enter your response here

H0:

p≠enter your response here

Ha:

p=enter your response here

H0:

p=0.300.30

Ha:

p≠0.300.30

H0:

p<enter your response here

Ha:

p≥enter your response here

H0:

p≤enter your response here

Ha:

p>enter your response here

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

Identify the standardized test statistic.

z=2.902.90

(Round to two decimal places as needed.)

Identify the P-value.

P=0.0370.037

(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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