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
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Ho: p(men)-p(women) = 0
Ha: p(men)-p(women) > 0
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P-hat(men) = 1/2
p-hat(women) = 60/150 = 2/5
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I ran a 2-prop Ztest and got the following:
test statistic: z=1.7408
p-value = 0.0407
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Conclusion:
Reject Ho at the 5% significance level
because 4.07% is less than 5%
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Fail to reject at the 1% significance level
because 4.07% is greater than 1%
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Cheers,
Stan H.