A poll is conducted to determine if support for a national healthcare system dif

Question

A poll is conducted to determine if support for a national healthcare system differs by gender. 69% of 300 women surveyed and 64% of 250 men surveyed think that there should be a national healthcare system. Let women be population 1 and men be population 2.

A. Are women more likely to support a national healthcare system than are men? Set up the null and alternate hypotheses to test this claim.

B. Compute an appropriate test statistic. Show your work.

C. What is the p-value? Conclude at = 0.05. Explain.

Explanation / Answer

Sol:

he null and alternate hypotheses to test this claim.

Null hypothesis:

H0:p1=p2

p1=proportion of women

p2=proporion of men

Alternative Hypothesis:

H1:p1>p2

Alpha=0.05

SolutionB:

Z=p1^-p2^/sqrt(p1^(1-p1^)/n1+p2^(1-p2^)/n2)

=0.69-0.64/sqrt(0.69(1-0.69)/300+0.64(1-0.64)/250)

=1.237

Solutionc:

p=0.1080

p>0.05

Fail to reject null hypothesis

Accept null hypothesis

Conclusion:

There is no sufficinet statistical evidence at 5% level of signiifcance to conclude that  women more likely to support a national healthcare system than are men.

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