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Hormone Therapy and Dementia. An issue of Science News (Vol. $163$, No, $22$, pp. $341$-$342$) reported that the Women's Health Initiative cast doubts on the benefit of hormone-replacement therapy. Researchers randomly divided $4532$healthy women over the age of $65$years into two groups. One group, consisting of $2229$women, received hormone-replacement therapy; the other group, consisting of $2303$women, received a placebo. Over $5$years. $40$of the women receiving the hormone-replacement therapy were diagnosed with dementia, compared with $21$of those getting placebo.

1. At the $5\%$significance level, do the data provide sufficient evidence to conclude that healthy women over $65$\

years old who take hormone-replacement therapy are at greater risk for dementia than those who do not?

Step by step solution

01

Part a; Step 1: Given information

The given values are,$x_1=40,n_1=2229,x_2=21,n_2=2303,\mathrm{Î\pm }=0.05.$

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