A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=188, x=6.53, s=1.89. Use a 0.10 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, and P-value. State the final conclusion that addresses the original claim.
What are the null and alternative hypotheses?
A. $H_0: \mu = 7.00$
$H_1: \mu < 7.00$
C. $H_0: \mu < 7.00$
$H_1: \mu > 7.00$
B. $H_0: \mu = 7.00$
$H_1: \mu \ne 7.00$
D. $H_0: \mu = 7.00$
$H_1: \mu > 7.00$
Determine the test statistic.
-3.41 (Round to two decimal places as needed.)
Determine the P-value.
0.000 (Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
Reject $H_0$. There is sufficient evidence to conclude that the mean of the population of ratings is less than 7.00.