A humane society claims that less than 39​% of U.S. households own a dog. In a random sample of 402 U.S.​ households, 155 say they own a dog. At α=0.01​, is there enough evidence to support the​ society's claim? (a) Write the claim mathematically and identify H0 and Ha. ​(b) Find the critical​ value(s) and identify the rejection​ region(s). (c) Find the standardized test statistic.​ (d) Decide whether to reject or fail to reject the null​ hypothesis, and​ (e) interpret the decision in the context of the original claim.

MATLAB: An Introduction with Applications
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A humane society claims that less than 39​% of U.S. households own a dog. In a random sample of 402 U.S.​ households, 155
say they own a dog. At α=0.01​, is there enough evidence to support the​ society's claim?
(a) Write the claim mathematically and identify
H0 and Ha.
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
(c) Find the standardized test statistic.​
(d) Decide whether to reject or fail to reject the null​ hypothesis, and​ (e) interpret the decision in the context of the original claim.
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