A humane society claims that less than 68​% of households in a certain country own a pet. In a random sample of 400 households in that country, 264 say they own a pet. At α=0.05, is there enough evidence to support the​ society's claim? Complete parts​ (a) through​ (d) below. ​(a) Identify the claim and state H0 and Ha.

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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A humane society claims that less than 68​% of households in a certain country own a pet. In a random sample of 400 households in that country, 264 say they own a pet. At α=0.05, is there enough evidence to support the​ society'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. ______​% of households in the country own a pet.

B. More than ______% of households in the country own a pet.

C. The percentage of households in the country that own a pet is not ______​%.

D. Less than ______​% of households in the country own a pet.

 

​(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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