SOLUTION: A fashion magazine claims that females like to �shop� more than males. In interviews with 1000 randomly selected females, the magazine found that 700 like to �shop�. Also, it was

Question 871878: A fashion magazine claims that females like to �shop� more than males. In interviews with 1000
randomly selected females, the magazine found that 700 like to �shop�. Also, it was found that 520 out of 800
randomly selected males like to �shop�. Test the magazines claim by a 0.02 level of significance. State the
practical conclusion that refers to the information in this question.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A fashion magazine claims that females like to �shop� more than males. In interviews with 1000 randomly selected females, the magazine found that 700 like to �shop�.
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Also, it was found that 520 out of 800 randomly selected males like to �shop�.
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Test the magazines claim by a 0.02 level of significance.
-----
Ho: p(f)-p(m) <= 0
Ha: p(f)-p(m) > 0 (claim)
------
t[(700/1000)-(520/800)] = (0.7-0.65)/sqrt[[(0.7*0.3/1000) + (0.65*0.35/800)]
= 2.2488
-------
P-value = P(t > 2.2488 when df = 1800-2)) = tcdf(2.2488,100,1798) = 0.0159
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Since the p-value is less than 2%, reject Ho.
The test results support the claim.
--------------------
State the practical conclusion that refers to the information in this question.
Women like to shop more than men.
Cheers,
Stan H.
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