[Hypothesis Testing] We are given the following data: n = 177, # of 1's = 153, # of 2's = 24, phat = 153/177  a) State the null and alternative hypotheses using H0, Ha, and p b) Calculate the test statistic using z = (phat - p) / sqrt( (p x (1-p)) / n) c) Calculate the p-value d) Should the null hypothesis be rejected or not?

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[Hypothesis Testing] We are given the following data: n = 177, # of 1's = 153, # of 2's = 24, phat = 153/177 

a) State the null and alternative hypotheses using H0, Ha, and p

b) Calculate the test statistic using z = (phat - p) / sqrt( (p x (1-p)) / n)

c) Calculate the p-value

d) Should the null hypothesis be rejected or not?

The results of an annual Claimant Satisfaction Survey of policyholders who have had a claim with State
Farm Insurance Company revealed a 90% satisfaction rate for claim service. To check the accuracy of
this claim, a random sample of State Farm claimants was asked to rate whether they were satisfied with
the quality of the service (1=Satisfied and 2-Unsatisfied). Data are available at state-farm.txt
Can we infer that the satisfaction rate is less than 90%?
The appropriate null and alternative hypotheses, Ho and Ha, for p are
Ho p = 0.90 vs Ha: p > 0.90
O Hop = 0.90 vs Ha p < 0.90
O Hop = 0.90 vs Hap 0.90
Transcribed Image Text:The results of an annual Claimant Satisfaction Survey of policyholders who have had a claim with State Farm Insurance Company revealed a 90% satisfaction rate for claim service. To check the accuracy of this claim, a random sample of State Farm claimants was asked to rate whether they were satisfied with the quality of the service (1=Satisfied and 2-Unsatisfied). Data are available at state-farm.txt Can we infer that the satisfaction rate is less than 90%? The appropriate null and alternative hypotheses, Ho and Ha, for p are Ho p = 0.90 vs Ha: p > 0.90 O Hop = 0.90 vs Ha p < 0.90 O Hop = 0.90 vs Hap 0.90
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