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A random sample of 400 men and 400 women was randomly selected and asked whether they...

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 α = 0.05

Men Women

Plan to attend 230 255

Dont plan to attend 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.

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