A security expert claims that at most 20% of all homeowners have a home security

Question

A security expert claims that at most 20% of all homeowners have a home security alarm. State Upper H 0 and Upper H Subscript 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. A. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm isnbsp at most 0.20." The null hypothesis is expressed symbolically as, "Upper H 0: pless than or equals0.20." B. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm isnbsp at least 0.20." The null hypothesis is expressed symbolically as, "Upper H 0: pgreater than or equals0.20." C. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm isnbsp not 0.20." The null hypothesis is expressed symbolically as, "Upper H 0: pnot equals0.20." D. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm isnothing 0.20." The null hypothesis is expressed symbolically as, "Upper H 0: pequals0.20." Click to select your answer and then click Check Answer.

Explanation / Answer

The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm isnbsp at most 0.20."

The null hypothesis is expressed symbolically as: Ho: p < 0.20

Option A is correct.

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