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A security expert claims that more than 18% of all homeowners have a home security alarm. State H0, and Ha, 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 is not 0.18." The null hypothesis is expressed
symbolically as, "H0: p != 0.18"
B. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is at least 0.18." The null hypothesis is
expressed symbolically as, "H0: p >= 0.18"
C. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is at most 0.18." The null hypothesis is
expressed symbolically as, "H0: p <= 0.18"
D. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is 0.18." The null hypothesis is expressed
symbolically as, "Ho: p = 0.18."
State the alternative hypothesis in words and in symbols. Choose the correct answer below.
A. The alternative hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is 0.18." The alternative hypothesis is
expressed symbolically as, "Ha: p = 0.18"
B. The alternative hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is less than 0.18." The alternative
hypothesis is expressed symbolically as, "Ha: p < 0>
C. The alternative hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is not equal to 0.18." The alternative
hypothesis is expressed symbolically as, "H:p != 0.18"
D. The alternative hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is more than 0.18." The alternative
hypothesis is expressed symbolically as, "Ha: p > 0.18"