document.write( "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.
\n" ); document.write( "State the null and alternative hypothesis and perform appropriate statistical test \n" ); document.write( "

Algebra.Com's Answer #170944 by stanbon(75887) $\"\"$ $\"About$

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A study was done to see if allergic hypersensitivity to dental materials was more common in men than women.
\n" ); document.write( "Seventy-five out of 150 men exhibited allergic hypersensitivity and
\n" ); document.write( "60 out of 150 women exhibited allergic hypersensitivity.
\n" ); document.write( "State the null and alternative hypothesis and perform appropriate statistical test
\n" ); document.write( "-------------
\n" ); document.write( "Ho: p(men)-p(women) = 0
\n" ); document.write( "Ha: p(men)-p(women) > 0
\n" ); document.write( "-------------------------------
\n" ); document.write( "P-hat(men) = 1/2
\n" ); document.write( "p-hat(women) = 60/150 = 2/5
\n" ); document.write( "-------------------------------
\n" ); document.write( "I ran a 2-prop Ztest and got the following:
\n" ); document.write( "test statistic: z=1.7408
\n" ); document.write( "p-value = 0.0407
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Conclusion:
\n" ); document.write( "Reject Ho at the 5% significance level
\n" ); document.write( "because 4.07% is less than 5%
\n" ); document.write( "---------------------------------
\n" ); document.write( "Fail to reject at the 1% significance level
\n" ); document.write( "because 4.07% is greater than 1%
\n" ); document.write( "=============================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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