Question

In a random sample of visitors to a famous tourist attraction, 84 of 250 men and 156 of 250 women bought souvenirs.

**(a)** Give a point estimate of *π*1 ̶
*π*2, the difference in population proportions of men and
women who buy souvenirs.

**(b)** Construct a 95% confidence interval for
*π*1 ̶ *π*2. Is there sufficient evidence to indicate
that men and women are equally like to buy souvenirs, why?

**(c)** Conduct a 10% test to see if men are less
likely buying souvenirs than women. Compute the *p*-value of
the test. Are the conclusions in (b) and (c) consistent, and
why?

Answer #1

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