A security expert claims that more than 17% of all homeowners havehome security alarm. State H, and H, 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.O A. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is 0.17." The null hypothesis is expressed symbolically as, "H,: p = 0.17."O B. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is at most 0.17." The null hypothesis is expressed symbolically as, "H: ps0.17."O C. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is at least 0.17." The null hypothesis is expressed symbolically as, "H,: p20.17."O D. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is not 0.17." The null hypothesisexpressed symbolically as, "H,: p# 0.17."State the alternative hypothesis in words and in symbols. Choose the correct answer below.O A. The alternative hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is 0.17." The alternative hypothesis is expressed symbolically as, "H,: p= 0.17."O B. The alternative hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is not equal to 0.17." The alternative hypothesis is expressed symbolically as, "H: p#0.17."O C. The alternative hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is more than 0.17." The alternative hypothesis is expressed symbolically as, "H,: p>0.17."O D. The alternative hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is less than 0.17." The alternative hypothesis is expressed symbolically as, "H: p<0.17."The hypothesis test isbecause thecontains

Solution: The given claim is that more than 17% of all homeowners have a home security alarm.State the hypotheses. Null hypothesis: H0: p≤0.17 That is, the proportion of all homeowners have a home security alarm is not more than 17%. Thus, the correct option is B. Reason for the incorrect options: The given claim contains “>” and the null hypothesis contains opposite to this symbol. Thus, the remaining options are incorrect.Alternative hypothesis: Ha: p>0.17 That is, the proportion of all homeowners have a home security alarm is more than 17%. Thus, the correct option is C. Reason for the incorrect options: The given claim contains “>” symbol and it is an alternative and alternative never contains “=” symbol. Thus, the remaining options are incorrect.Since the alternative hypothesis contains “>” symbol the test is right-tailed. The hypothesis test is right-tailed because the alternative contains greater than. Reason for the incorrect options: If an alternative contains “<”, then the test is left-tailed. If an alternative contains “≠”, then the test is two-tailed.

Math

Statistics

A security expert claims that more than 17% of all homeowners have a home security alarm. State H, and H, 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. O A. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is 0.17." The null hypothesis is expressed symbolically as, "H, p = 0.17." O B. The null hypothesis expressed in words is, the proportion of all homeowners who own a home security alarm is at most 0.17." The null hypothesis is expressed symbolically as, "H, ps0.17." OC. The null hypothesis expressed in words is, the proportion of all homeowners who own a home security alarm is at least 0.17." The null hypothesis is expressed symbolically as, "H: p20.17. O D. The null hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is not 0.17." The null hypothesis is expressed symbolically as. "Ho: D+0.17." State the alternative hypothesis in words and in symbols. Choose the correct answer below. O A. The alternative hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is 0.17." The alternative hypothesis is expressed symbolically as, "H,: p=0.17." O B. The alternative hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is not equal to 0.17." The alternative hypothesis is expressed symbolically as, "H, p#0.17." OC. The alternative hypothesis expressed in words is, "the proportion of all homeowners who own a home security alarm is more than 0.17." The alternative hypothesis is expressed symbolically as, "H, p>0.17." OD. The alternative hypothesis expressed in words is, the proportion of all homeowners who own a home security alarm is less than 0.17." The alternative hypothesis is expressed symbolically as, "H p<0.17." The hypothesis test is v because the V contains