SOLUTION: In a sample of 204 men, 66 said they used seat belts. In a sample of 310 women, 83 said they used seat belts. Test the claim that men are more safety conscious than women, a = 0.01

Question 1082593: In a sample of 204 men, 66 said they used seat belts. In a sample of 310 women, 83 said they used seat belts. Test the claim that men are more safety conscious than women, a = 0.01. Use the P-value method and use p1 for the proportion of men who use seat belts.
a) State the hypotheses and identify the claim with the correct hypothesis.
b) Find the critical value (s). Round the answer to two decimal places.
c) Compute the test value. Always round t score values to three decimal places
d) Do or do not reject the hypothesis

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a sample of 204 men, 66 said they used seat belts. In a sample of 310 women, 83 said they used seat belts. Test the claim that men are more safety conscious than women, a = 0.01. Use the P-value method and use p1 for the proportion of men who use seat belts.
a) State the hypotheses and identify the claim with the correct hypothesis.
Ho: pm - pw = 0
Ha: pm - pw > 0 (claim)
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sample difference:: 66/204 - 83/310 = 0.0558
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b) Find the critical value (s). Round the answer to two decimal places.
Critical value for a right-tail test with alpha = 1%:: 2.3263
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c) Compute the test value. Always round t score values to three decimal places
t(0.0558) = 0.0558/sqrt[(66/204)(138/204)+(83/310)(227/310)] = 0.0866
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d) Do or do not reject the hypothesis
Since the test statistic is not in the rejection interval,
fail to reject Ho.
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The test results do not support the claim.
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Cheers,
Stan H.
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