38 married couples without children are asked to report the number of times per year they initiate a date night. The men report initiating an average of 9.3 date nights with a standard deviation of 4.6, though it's possible they're overstating to make themselves look good. Is there significant evidence to conclude that married men without children initiate date night 8 times per year at the 0.01 significance level? Note that there's evidence that this distribution is skewed. What are the hypotheses? O Ho: M 9.3 OHo:u = 9.3 vs H1 : u # 9.3 OHo : M 8 OHo: M = 8 vs H1: u # 8 What distribution does the test statistic follow? Ot with 39 degrees of freedom Ot with 38 degrees of freedom Ot with 37 degrees of freedom Oz What is the value of the test statistic? Round to two decimal places. What is probability statement for the p-value? O 2P(Z * test statistic) OP(T > test statistic) O 2P(T * test statistic) OP(Z > test statistic) O None of the aboveAfter you calculate the p-value, state and justify your decision. 0 Accept H0 because the p-value a. O Fail to reject H0 because the p-value a. O Reject H0 because the p-value > a. The correct conclusion is that we conclude that the average number of date nights married me" without Children initiate daYS- With respect to our mathematical assumptions, what level of concern do you have for the validity of your results? O Valid X is normal so f is normal 0 Questionable there is likely to be some nonresponse bias 0 Valid the sample size is greater than 30 O Questionable while in, > 30, the skewness in the distribution is concerning 0 Valid there appear to be no biases O Questionable there is likely to be some response and nonresponse bias 0 Questionable there is likely to be some response bias With respect to our sampling methodology, what level of concern do you have for the validity of your results? 0 Valid the sample size is greater than 30 O Valid X is normal so .7 is normal O Questionable there is likely to be some response and nonresponse bias 0 Valid there appear to be no biases O Questionable there is likely to be some response bias 0 Questionable while 11 > 30, the skewness in the distribution is concerning O Questionable there is likely to be some nonresponse bias