Question 3   A humane society claims that less than 61​% of households in a certain country own a pet. In a random sample of 500 households in that​ country, 285 say they own a pet. At α=0.05​, is there enough evidence to support the​ society's claim? Complete parts (a) through​ (c) below.   ​(a) Identify the claim and state H0 and Ha.   ​(b) Identify the standardized test statistic first then use technology to find the​ P-value.   ​(c) Decide whether to reject or fail to reject the null hypothesis and​ (d) 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 61​% of households in a certain country own a pet. In a random sample of 500 households in that​ country, 285 say they own a pet. At α=0.05​, is there enough evidence to support the​ society's claim? Complete parts (a) through​ (c) below.
 
​(a) Identify the claim and state H0 and Ha.
 
​(b) Identify the standardized test statistic first then use technology to find the​ P-value.
 
​(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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