Question

A telemarketer is trying two different sales pitches to sell a carpet cleaning service. For his aggressive pitch, 175 people were contacted by phone and 62 of those people bought the cleaning service. For his passive pitch, 154 people were contacted by phone and 45 of those people bought the cleaning services. Does this indicate that there is any difference in population proportions of people who will buy the cleaning services depending on which sales pitch is used? Use α=0.05

a.Details given in problem

b.Assumptions if any

c.Null Hypothesis, Alt Hypothesis, and the tailed test

d.Critical Statistic

e.Compute test statistic

f.Compute p-value

g.At ___% level of significance, we have ______ evidence to reject Null Hypothesis

h.Since p-value ____ α at ___% level of significance, we have ______evidence to reject the Null Hypothesis

Answer 1

Let denote the population proportions of people who will buy the cleaning services for aggressive pitch and passive pitch respectively.

b) Assumptions : not needed

c) - f)

g) At 5% level of significance, we have insufficient evidence to reject Null Hypothesis.

h) Since p-value > α at 5% level of significance, we have insufficient evidence to reject Null Hypothesis.