I need helo with this mathematics homework

QUESTION 1 2 points Save Answer Suppose you sample from two cities: Boston and Orlando. You sample 23 individuals from Boston, and come to nd that 8 of them like dolphins. You sample 34 individuals from Orlando, and come to nd that 21 of them likes dolphins. (Round answers to 4 decimal places) a) What is the (positive) point-estimate for the difference in proportions (as a decimal) ofthose who like dolphins between the two cities? b) What is the (Wald) standard error associated to using the difference in sample proportions as an estimate for the difference in population proportions? QUESTION 2 2 points Save Answer In continuation of (_1), suppose you wish to test the claim that the proportions of those who like dolphins between the two cities is about the same with a twosided alpha value of 10.2%. (Round all answers to 4 decimal places) a) What is the lower bound for your condence interval for the true difference in proportions? b) What is the upper bound for your confidence interval for the true difference in proportions? QUESTION 3 2 points Save Answer (Round all answers to 4 decimal places) a) What is the associated test statistic for the difference in proportions? b) What is the associated two-tailed p-value for this hypothesis? QUESTION 4 0.5 points Save Answer True or False: If you use a negative point estimate instead of a positive point estimate for a hypothesis test for the difference in proportions, you will get opposite conclusions (reject or fail to reject) from your confidence intervals and p-values. O True 0 False QUESTION 5 0.5 points Save Answer True or False: Using a Wald estimate for the standard error for the (difference in) proportions may lead your condence interval bounds to fall below 0% and/or fall above 100%, and hence give misleading results. 0 True 0 False QUESTION 6 1 points Save Answer If you have two sample variances that are close to one another, then you may have evidence to believe that the populations that are drawn from are... C) equal O homoscedastic O heteroscedastic O unequal QUESTION 7 Suppose you draw a samples of size 18 and of size 19 from populations A and B, respectively, and nd that their sample standard deviationsares =7.6,s =9.1. A B (Round all answers to 4 decimal places) a) What is the associated (greater than 1) test statistic for a test on the equality of variances? b) The degrees of freedom pair associated to your test-statistic in (a) is ( , ). c) What is the associated (right-tailed) pvalue associated to the teststatistic in (a)? QUESTION 8 Suppose that you gather a sample of 34 sea turtles rom location A and measure their lengths, and you sample 45 sea turtles from ocation B and measure their lengths. The table below summarizes some statistics for these samples; the units of length are centimeters. Arithmetic . Standard Median . . Mean DeVIatIon Lat' 43.27 44.87 3.56 on A \"ca" 35.48 38.54 2.41 on B You will use this data for the questions following this one. Based only on the data given above, which would you more confidently estimate is the distribution closest to a normal distribution? Note: You should be able to explain why. O Location A O Location B 4 points 1 points Save Answer Save Answer QUESTION 9 3 points Save Answer (Round all answers to 4 decimal places) a) What is the associated (greater than 1) test statistic for a test on homoscedasticity between the sea-turtle lengths of the populations? b) What is the associated pvalue for the test statistic calculated in (a)? c) If you choose an alpha value of 1%, based on you pvalue only, do you have evidence to believe that the populations are homoscedastic to one another? (type either "yes" or "no") Note: You should be able to justify your answer in (c) in a clear manner