2. Responses to a survey question are broken down according to employment status and the sample results (observed values) are given below. Using a P-value test at the 0.10 significance level, test the claim that responses and employment status are independent. YES NO UNDECIDED EMPLOYED 40 25 UNEMPLOYED 25 15 (a) What is the name of the test we will be using and what is alpha? Test: 0 = (b) Write the equation that would be used to find the test statistic x and calculate the degrees of freedom. (c) Complete the table below, including finding the expected frequencies, using two decimal places for each expected frequency. The expected frequencies can be put in parentheses after the observed frequencies. YES NO UNDECIDED TOTAL EMPLOYED 40( 25( 8( UNEMPOYED 25( 15( 5( TOTAL Technology can be used to complete the table. If so, be sure to note the values of x? and P for part (d). (d) Using technology, find x and P. x' = P = (e) What are the null and alternate hypotheses? Ho: H1: Is Ho or Hi equivalent to the original claim? Choose Ho or H1: (f) Do you "reject" or "fail to reject" the null hypothesis? Why? (need reason appropriate for a P-value test, comparing P and alpha) (g) What is your final conclusion about the original claim