A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=187, x=7.59, s=2.02. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 8.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
What are the null and alternative hypotheses?
A. H0: μ=8.00
H1: μ≠8.00
B. H0: μ=8.00
H1: μ<8.00
C. H0: μ=8.00
H1: μ>8.00
D. H0: μ<8.00
H1: μ>8.00
Determine the test statistic.
____
(Round to two decimal places as needed.)
Determine the P-value.
____
(Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
- Reject / Fail to reject H0.
There is
- not sufficient / sufficient
evidence to conclude that the mean of the population of ratings is
- equal to / less than / greater than 8.00.