Question

Is there a difference between men and women when it comes to seeking preventative healthcare? At the alpha=0.10 level of significance, test the claim that the proportion of those who have had a wellness visit with their physician in the past year is the same for men and women. Let Pf represent the proportion of females who have had a wellness visit with their physician in the past year and Pm represent the proportion of males how have done the same (round your result to three decimal places)

Which would be correct hypotheses for this test?

Ho: Pf = Pm, H1: Pf ≠ Pm

Ho: Pf = Pm, H1: Pf > Pm

Ho: Pf = Pm, H1: Pf < Pm

Ho: Pf ≠ Pm, H1: Pf > Pm

In a random sample of 298 females, 267 had a wellness visit with their physician in the past year. In a random sample of 145 males, 98 have had a wellness visit with their physician in the past year. Find the test statistic:

___________

Give the P-value

____________

Which is the correct result:

Reject the Null Hypothesis

Do no Reject the Null Hypothesis

Which would be the appropriate conclusion?

There is not significant evidence to support the claim that the proportions of men and women who seek preventative care are the same.

There is significant evidence to support the claim that the proportions of men and women who seek preventative care are the same.

Answer 1

The statistical software output for this problem is:

Two sample proportion summary hypothesis test:
p₁ : proportion of successes for population 1
p₂ : proportion of successes for population 2
p₁ - p₂ : Difference in proportions
H₀ : p₁ - p₂ = 0
H_A : p₁ - p₂ ≠ 0

Hypothesis test results:

Difference	Count1	Total1	Count2	Total2	Sample Diff.	Std. Err.	Z-Stat	P-value
p1 - p2	267	298	98	145	0.22011109	0.038565568	5.7074508	<0.0001

Hence,

Hypotheses: Ho: Pf = Pm, H1: Pf ≠ Pm

Test statistic = 5.707

p - Value = 0.0000

Reject the null hypothesis

Conclusion: There is significant evidence to support the claim that the proportions of men and women who seek preventative care are the same. Option B is correct.