SOLUTION: In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bit

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Question 753107: In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites. Is there a significant difference in the proportions? Use α=0.05. Find the 95% confidence interval for the difference of the two proportions.
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Q:
In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites. Is there a significant difference in the proportions? Use α=0.05. Find the 95% confidence interval for the difference of the two proportions.
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A:
H0: p%5B1%5D = p%5B2%5D (Cleveland - Philadelphia)
H1: p%5B1%5D ≠ p%5B2%5D
α=0.05
Test Stat, z = -1.0366
Critical Values = ±1.96
P-Value = 0.2999
Fail to reject the Null Hypothesis because the p-value is greater than 0.05.
There is NO significant difference in the proportions.
The 95% confidence interval is (-0.1809,0.0549)