Question

In April 2010, 42% of the unemployed had been out of work longer than six months. Policy makers felt that this percentage declined during 2010 as the job market improved. To test this theory, a random sample of 300 unemployed people was selected, and it was found that 106 had been out of work for more than six months. Using α:0.10, answer parts a through c below. a. What conclusions can be drawn about the proportion of the unemployed who have been out of work for more than six months? Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho 0.42 H1: ps 0.42 O C. Ho: ps 0.42 H p 0.42 O B. Ho :p2042 H: p 0.42 D. Ho p 0.42 H1 : p #042

b. Determine the critical​ value(s) of the test statistic.

c. Calculate the test statistic.

d. Determine the proper conclusion. Choose the correct answer below.

e. Determine the​ p-value for this test.

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