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In a survey, 500 men and 500 women were randomly selected. Among the men, 52 had...

In a survey, 500 men and 500 women were randomly selected. Among the men, 52 had been ticketed for speeding within the last year, whereas 27 of the women had been ticketed for speeding during the same period (based on data from R. H. Bruskin Associates).

(a) At the 0.01 significance level, test the claim that women have lower rate of speeding tickets.

Original claim is made by the Answer hypothesis.
Original claim is: pwomen - pmenAnswer 0.
Test statistic: Answer
Critical value: Answer
P-value: Answer
Initial conclusion: We Answer the null hypothesis.
Final conclusion: There Answer enough evidence to support the claim.
(b) Construct a 98% confidence interval for the difference between the two proportions.
Answer< pwomen - pmen<Answer

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