In the last few years, many research studies have shown that the purported benefits of hormone...

In the last few years, many research studies have shown that the purported benefits of hormone replacement therapy (HRT) do not exist, and in fact, that hormone replacement therapy actually increases the risk of several serious diseases. A four-year experiment involving 4432 women was conducted at 33 medical centres. Half of the women took placebos and half took a prescription drug, a widely prescribed type of hormone replacement therapy. There were

x₁ = 48

cases of dementia in the hormone group and

x₂ = 20

in the placebo group. Is there sufficient evidence to indicate that the risk of dementia is higher for patients using the prescription drug? Test at the 1% level of significance. (Round your answers to two decimal places.)

1-2. Null and alternative hypotheses:

H₀: (p₁ − p₂) = 0 versus H_a: (p₁ − p₂) < 0H₀: (p₁ − p₂) = 0 versus H_a: (p₁ − p₂) ≠ 0 H₀: (p₁ − p₂) ≠ 0 versus H_a: (p₁ − p₂) = 0H₀: (p₁ − p₂) < 0 versus H_a: (p₁ − p₂) > 0H₀: (p₁ − p₂) = 0 versus H_a: (p₁ − p₂) > 0

3. Test statistic: z =

4. Rejection region: If the test is one-tailed, enter NONE for the unused region.

z >

z <
5. Conclusion:

H₀ is not rejected. There is sufficient evidence to indicate that the risk of dementia is higher for patients using the prescription drug.H₀ is rejected. There is sufficient evidence to indicate that the risk of dementia is higher for patients using the prescription drug. H₀ is not rejected. There is insufficient evidence to indicate that the risk of dementia is higher for patients using the prescription drug.H₀ is rejected. There is insufficient evidence to indicate that the risk of dementia is higher for patients using the prescription drug.

Expert Solution

orchestra answered 1 year ago

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