SOLUTION: A study was done to see if allergic hypersensitivity to dental materials was more common in men than women. Seventy-five out of 150 men exhibited allergic hypersensitivity and 60 o

Question 230708: A study was done to see if allergic hypersensitivity to dental materials was more common in men than women. Seventy-five out of 150 men exhibited allergic hypersensitivity and 60 out of 150 women exhibited allergic hypersensitivity.
State the null and alternative hypothesis and perform appropriate statistical test
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A study was done to see if allergic hypersensitivity to dental materials was more common in men than women.
Seventy-five out of 150 men exhibited allergic hypersensitivity and
60 out of 150 women exhibited allergic hypersensitivity.
State the null and alternative hypothesis and perform appropriate statistical test
-------------
Ho: p(men)-p(women) = 0
Ha: p(men)-p(women) > 0
-------------------------------
P-hat(men) = 1/2
p-hat(women) = 60/150 = 2/5
-------------------------------
I ran a 2-prop Ztest and got the following:
test statistic: z=1.7408
p-value = 0.0407
-------------------------------------
Conclusion:
Reject Ho at the 5% significance level
because 4.07% is less than 5%
---------------------------------
Fail to reject at the 1% significance level
because 4.07% is greater than 1%
=============================================
Cheers,
Stan H.
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