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 800 adults in that​ country, ​31% say that they would travel into space on a commercial flight if they could afford it. At ​a=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 H0 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.) A. The percentage of adults in the country who would travel into space on a commercial flight if they could afford it is not ______​%. B. No more than ______% of adults in the country would travel into space on a commercial flight if they could afford it. C. ______​% of adults in the country would travel into space on a commercial flight if they could afford it. D. At least ______​% of adults in the country would travel into space on a commercial flight if they could afford it. ​(b) ​Use technology to find the​ P-value.         P = _______. (c) Decide whether to reject or fail to reject the null hypothesis and​ (d) interpret the decision in the context of the original claim.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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 800 adults in that​ country, ​31% say that they would travel into space on a commercial flight if they could afford it. At ​a=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 H0 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.)

A. The percentage of adults in the country who would travel into space on a commercial flight if they could afford it is not ______​%.

B. No more than ______% of adults in the country would travel into space on a commercial flight if they could afford it.

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

D. At least ______​% of adults in the country would travel into space on a commercial flight if they could afford it.

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

        P = _______.

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

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