You wish to test the following claim (H) at a significance level of a = 0.002. Ho: P = Pr H P> P2 You obtain 33% successes in a sample of size n = 500 from the first population. You obtain 28% successes in a sample of size n 400 from the second population. = a) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic=5.170 b) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = 18.457 c) The p-value is... O less than (or equal to) a O greater than a d) This test statistic leads to a decision to... O reject the null O accept the null Ofail to reject the null e) As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. The sample data support the claim that the first population proportion is greater than the second population proportion. There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion. f) What is the confidence interval for the difference of the two proportions? (Report answers accurate to two decimal places.)