Answered: A humane society claims that less than…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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A humane society claims that less than 74% of households in a certain country own a pet. In a random sample of 800 households in that country, 568 say they own a pet. At α=0.10, is there enough evidence to support the society's claim? Complete parts (a) through (c) below.

(a) Identify the standardized test statistic.

z=______

(b) Identify 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.

__________(Fail to reject/regject) the null hypothesis. There_____(is not/ is )enough evidence to_____(support/reject)the society's claim.

Expert Solution

Step 1

$Given claim is that less than 74 % of households in a certain country own a pet sample size (n) = 800 x = 568 sample proportion (\hat{p}) = \frac{x}{n} = \frac{568}{800} = 0.71 significance level (α) = 0.10$