Question 538296
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.