SOLUTION: Recent studies have shown that adult men suffer from high blood pressure at a lesser rate than do adult women. To test that claim, a research randomly selected 200 of each gender a

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Question 1161978: Recent studies have shown that adult men suffer from high blood pressure at a lesser rate than do adult women. To test that claim, a research randomly selected 200 of each gender and tested their blood pressure. The results revealed that 49 of the men and 62 of the women suffered from high blood pressure. Can you conclude that the proportion of men with high blood pressure is less than the proportion of women? Use α = 0.05.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho:p(m)p(w)>=0
Ha: < 0
alpha=0.05 p{reject Ho|Ho true}
test statistic is a z and reject if z < -1.645
p(men)=0.245
p(women)=0.31
the z test is z=(p(m)-p(w))/sqrt (p(m)*(1-p(m)/200+(p(w)*(1-p(w)/200))
the calculator makes this far easier
STAT TESTS 6 ENTER and fill in the blanks
z=-1.45
p=0.07
fail to reject and conclude insufficient evidence there is a difference between the two.