One-sample and Two-sample hypothesis problems

One-sample and Two-sample hypothesis problems

Hypothesis problems

Instructions: for both problem 1 and 2 supply the Megastat hypothesis output and write up the FIVE steps of the hypothesis testing as applied to the problem. Please use the attachment below named Assignment #4 excel file

The five steps are, in other words, (1) state the null and research hypothesis, (2) define critical values, (3) state the test statistic that is to be utilized, (4) state the exact decision rule and (5) perform the test and make the decision using the test statistic and the p-value.

One-sample hypothesis test.
Use the 0.05 standard level of significance for this problem and the Assignment #4 excel file, USE THE WORKSHEET “ONE SAMPLE TEST” and the variable is Per Capita Personal Income across six Midwestern states measured from 2006-2016.

Research in the 1990s found that per capita personal income was falling in the Midwest states. Perform a hypothesis test to see if there is statistical evidence of a decline in average hourly wage for Midwest state workers.

Two-sample hypothesis test.
Use the 0.05 standard level of significance for this problem and the assignment is to use the and the Assignment #4 excel file, USE THE WORKSHEET “TWO SAMPLE TEST.”

An education researcher is testing the efficacy of three different reading programs. He has randomly assigned 66 students to one of the three programs (the programs are called “Basal,” “DRTA,” and “Strat’”). The researcher has taken two measurements on each student, the first is a pre-test and the second is a post-test after each of the programs are implemented. You want to test his data for him and he needs to know if the post-test scores have improved from the pre-test scores as a group. He does not need to know which group is best, overall he needs to know if the entire group of 66 students improved. You have repeated measurements on same group (two samples) so use the “PAIRED OBSERVATIONS” method in Megastat, not he independent samples tab.