Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.005 significance level. The null and alternative hypothesis would be: Ho:UNEND HO:PNSPD HOUN= UD HOPNEPD HO:PN=PD HO:AN = AD O O O O The test is: right-tailed left-tailed two-tailed O O The sample consisted of 20 night students, with a sample mean GPA of 2.53 and a standard deviation of 0.02, and 20 day students, with a sample mean GPA of 2.58 and a standard deviation of 0.0B. The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesisA. body mass index [BMI] between 29 and 25 indicates a normal weight. In a random survey of 3'46 men and 751 women, it was Found that 219 men and 248 women were normal weight. Construct a 99% condence interval oF the diFFerence in the proportion of men and woman who are normal weight Then interpret the interval. Note the subscripts m and w represent men and women, respectivehr. Therefore sample i Is the men and sample 2' is the women. Round each answer to 4 dedmol places. Interpret d'Iis condence interval. \":3 With 99% condence the interval calculated contains the difference of sample proportions of males and Females who are normal weight " With 99% condence the interval calculated contains the diFFerence oF population proportions oF males and Females who are normal weight. We are 99% condent that the point estimate For the the diFFerence oF males and females who are normal weight. '-_.'- There is a 99% probability that either a male or a 'Female are normal weight. =95\" IF the two population proportions are the same, the difference between them will be zero. Does your condence interval provide signicant evidence For a diFFerence oF males and Females who are no rmal weight? Explain. \".3? no, since 9 is contained within our condence interval ' i no, since negative proportion of males make sense ":3 yes, since I] is not contained within our condence interval '1.\" yes, since the proportion ofFemales cannot be negative w