A random sample of 400 men and 400 women was randomly selected and asked whether they planned to attend a concert in the next month. The results are listed below. Perform a homogeneity of proportions test to test the claim that the proportion of men who plan to attend a concert in the next month is the same as the proportion of women who plan to attend a concert in the next month. Use = 0.05.

Men Women

Plan to attend concert 230 235

Don't plan to attend concert 170 145

a) State the Null and Alternate Hypotheses.

b) Is this a left, right or two-tailed test?

c) Find the sample test statistic.

d) Use either the P-value or Critical Value approach to conclude your test.

e) State your conclusion in the CONTEXT of the problem