A large manufacturer that sells consumer products on-line wishes to publicize it
ID: 3156956 • Letter: A
Question
A large manufacturer that sells consumer products on-line wishes to publicize its customer satisfaction in an advertisement. Specifically, it wants to state that over 90% of the manufacturer's customers would tell a friend to buy a product from the manufacturer. The manufacturer selects a random sample of 400 customers from its database, contacts them via email and asks them the question "Would you tell a friend to buy a product from us?" 372 say yes and 28 say no.
A z-test statistic and p-value were calculated for the correct null and alternative hypotheses. Based on the p-value and alpha level for the test, the decision was made to reject the null hypothesis. Given this information, the difference between the true customer satisfaction rate for this manufacturer and 0.9 is:
A. Statistically Significant
B. Practically Significant
A only
Both A and B
Neither A nor B
B only
a.A only
b.Both A and B
c.Neither A nor B
d.B only
Explanation / Answer
A z-test statistic and p-value were calculated for the correct null and alternative hypotheses. Based on the p-value and alpha level for the test, the decision was made to reject the null hypothesis. Given this information, the difference between the true customer satisfaction rate for this manufacturer and 0.9 is:
Both A and B
Both A and B
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