a set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are n=183​, x=6.83​, s=2.04. Use a 0.10 significance level to t

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A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are
n=183​,
x=6.83​,
s=2.04.
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, P-value, and state the final conclusion that addresses the original claim.
What are the null and alternative​ hypotheses?
 
 
A.
H0​:
μ=7.00
H1​:
μ≠7.00
 
B.
H0​:
μ=7.00
H1​:
μ<7.00
 
C.
H0​:
μ=7.00
H1​:
μ>7.00
 
D.
H0​:
μ<7.00
H1​:
μ>7.00
Determine the test statistic.
 
 
negative . 081−.081
​(Round to two decimal places as​ needed.)
Determine the​ P-value.
 
 
. 209.209
​(Round to three decimal places as​ needed.)
State the final conclusion that addresses the original claim.
 
Fail to reject
Fail to reject
Reject
H0.
There is
not sufficient
sufficient
not sufficient
evidence to conclude that the mean of the population of ratings is
less than
equal to
less than
not
greater than
7.00.
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