Construct a confidence interval for p1−p2 at the given level of confidence. x1=385​, n1=532​, x2=426​, n2=591​, 95​% confidence   The researchers are ___% confident the difference between the two population​ proportions, p1−p2​, is between ___ and ___.

Construct the confidence interval for the population mean μ.   c=0.98​, x=16.6​, σ=7.0​, and n= 70   A 98​% confidence interval for μ is ?

If a school district takes a random sample of 56 Math SAT scores and finds that the average is 488, and knowing that the population standard deviation of Math SAT scores is intended to be 100. Find a 99% confidence interval for the mean math SAT score for this district._____<μ<_____

B. The test​ statistic, t, =____   C. The​ P-value is ____ D. State the conclusion for the test. Reject H0. or Fail to reject H0.   E. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. ___<μ1−μ2<___   F. Does the confidence interval support the conclusion of the​ test? (Yes/ No) because the confidence interval contains (zero/ only positive value/ only negative values).