there are two part for the question, I want the answer for the test statistics and the P- Value please! write the answer

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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there are two part for the question, I want the answer for the test statistics and the P- Value please! write the answer step by step if possible.     

A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=199, x=7.87, s=2.27. 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?
OA Ho: 8.00
H₁: μ8.00
OC. Ho: 8.00
H₁: >8.00
Determine the test statistic.
(Round to two decimal places as needed.)
B. Ho: 8.00
H₁: μ<8.00
OD. Ho: <8.00
H₁: >8.00
Transcribed Image Text:A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=199, x=7.87, s=2.27. 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? OA Ho: 8.00 H₁: μ8.00 OC. Ho: 8.00 H₁: >8.00 Determine the test statistic. (Round to two decimal places as needed.) B. Ho: 8.00 H₁: μ<8.00 OD. Ho: <8.00 H₁: >8.00
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