Question

A humane society claims that less than 65​% of households in a certain country own a pet. In a random sample of 600 households in that​ country, 378 say they own a pet. At alphaequals0.05​, is there enough evidence to support the​ society's claim? Complete parts​ (a) through​ (c) below. ​(a) Identify the claim and state Upper H 0 and Upper H Subscript a. 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. Less than nothing​% of households in the country own a pet. B. nothing​% of households in the country own a pet. C. The percentage households in the country that own a pet is not nothing​%. D. More than nothing​% of households in the country own a pet. Let p be the population proportion of​ successes, where a success is a household in the country that owns a pet. State Upper H 0 and Upper H Subscript a. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Round to two decimal places as​ needed.) A. Upper H 0​: pnot equals nothing Upper H Subscript a​: pequals nothing B. Upper H 0​: pgreater than or equals nothing Upper H Subscript a​: pless than nothing C. Upper H 0​: pless than or equals nothing Upper H Subscript a​: pgreater than nothing D. Upper H 0​: pequals nothing Upper H Subscript a​: pnot equals nothing E. Upper H 0​: pgreater than nothing Upper H Subscript a​: pless than or equals nothing F. Upper H 0​: pless than nothing Upper H Subscript a​: pgreater than or equals nothing ​(b) Use technology to find the​ P-value. Identify the standardized test statistic. zequals nothing ​(Round to two decimal places as​ needed.) Identify the​ P-value. Pequals nothing ​(Round to three decimal places as​ needed.) ​(c) Decide whether to reject or fail to reject the null hypothesis and​ (d) interpret the decision in the context of the original claim. ▼ Reject Fail to reject the null hypothesis. There ▼ is is not enough evidence to ▼ support reject the​ society's claim.

Answer 1