Question 98323: An urban community would like to show that the incidence of breast cancer is higher than in a nearby rural area. If it is found that 20 of 200 adult women in the urban community have breast cancer and 10 of 150 adult women in the rural community have breast cancer, can we conclude at the 0.05 level of significance that breast cancer is more prevalent in the urban community?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An urban community would like to show that the incidence of breast cancer is higher than in a nearby rural area. If it is found that 20 of 200 adult women in the urban community have breast cancer and 10 of 150 adult women in the rural community have breast cancer, can we conclude at the 0.05 level of significance that breast cancer is more prevalent in the urban community?
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p-hat(urban) = 0.10
p-hat(rural) = 1.15=0.066667
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Ho:pu-pr=0
Ha:pu-pr >0
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Critical value = 1.645
Test Statistic: z(0.10-0.6667) = 0.102396..
p-value = 0.135144
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Since p-value is greater than alpha=5%, reject Ho
and conclude the test shows significant statistical
evident that the urban breast cancer rate is higher
than the rural breast cancer rate.
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Note: I used the 2-PropZTest on a TI-83 to get the
Test Statistic and p-value.
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Cheers,
Stan H.
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