A cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using $\alpha$ = 0.05,the alternative hypothesis is __________.

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The null hypothesis is that 50% of women over 40 have regularly scheduled mammograms (p = 0.50). The alternative hypothesis can be one-sided (p < 0.50 or p > 0.50) or two-sided (p ≠ 0.50). Since the research group only states that they want to test the hypothesis, without specifying a direction, a two-sided alternative hypothesis (B) would be the best choice. If the p-value turns out to be very low, we will reject the null hypothesis and conclude that the proportion of women over 40 with regularly scheduled mammograms is significantly different than 0.50, without specifying whether it is higher or lower.

A Cancer Research Group Surveys 100 Women More Than 40 α\alphaα

A Cancer Research Group Surveys 100 Women More Than 40 $\alpha$