5) Ohio Legislature. A political scientist wants to know if the two chambers of the 2018-20 Ohio General Assembly differ in their party affiliation proportions. The data are shown in the table below.

Democrats Republicans

Senate 9 24

House 38 61

a) State the alternative and null hypothesis in symbols and words.

b) Assuming independence between the two variables, find the expected frequency for each cell of the table - round to two decimal places.

c) Find the value of X2 test statistic - round to three decimal places.

d) Use the .05 significance level to find the X2 critical value.

e) Using the .05 significance level, complete the test of the claim that the two variables are independent. State the conclusion that addresses the original claim.