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A security expert claims that exactly 15% of all homeowners have a home security

ID: 3224726 • Letter: A

Question

A security expert claims that exactly 15% of all homeowners have a home security alarm. State H_0 and H_a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols. Choose the correct answer below. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is 0.15". The null hypothesis is expressed symbolically as, 'H_0: p = 0.15." The null hypothesis expressed in words is, "the proportion of al homeowners who own a home security alarm is at most 0.15". The null hypothesis is expressed symbolically as "H_0: p lessthanorequalto 0.15". The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is at least 0.15". The null hypothesis is expressed symbolically as, 'H_0: p greaterthanorequalto 0.15." The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is more than 0.15". The null hypothesis is expressed symbolically as, "H_0: p > 0.15."

Explanation / Answer

Solutio:-
option A. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is 0.15."The null hypothesis is expressed symbolically as, "H0 : p = 0.15."

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