Question 538296: HELP PLS!
Provincial literacy tests report that the mean literacy score for adults is 72 with a standard deviation of 5. A random sample of 100 adults from each of two cities is tested. The mean literacy score for the sample from the City A, which has adult literacy programs available, is 67. The mean level for the cars from City B, which does not have any programming available, is 65. Using a .01 level of significance, determine if the literacy programming is effective at improving literacy levels.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Provincial literacy tests report that the mean literacy score for adults is 72 with a standard deviation of 5.
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A random sample of 100 adults from each of two cities is tested.
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The mean literacy score for the sample from the City A, which has adult literacy programs available, is 67.
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The mean level for the cars from City B, which does not have any programming available, is 65.
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Using a .01 level of significance, determine if the literacy programming is effective at improving literacy levels.
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Ho: p(A)-p(B) <= 0
Ha: p(A)-p(B) > 0 (claim)
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p-hat(A) = 0.67
p-hat(B) = 0.65
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z(0.67-0.65) = (0.02)/sqrt[(0.67*0.33/100)+(0.65*0.35/100)] = 0.2986
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p-value = P(z > 0.2986) = 0.3826
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Since the p-value is greater than 1%, fail to reject Ho.
The test results support the claim.
Cheers,
Stan H.
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