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According to a Louis Harris survey, 489 in a sample of 980 female drivers reported that...

According to a Louis Harris survey, 489 in a sample of 980 female drivers reported that they never speed, while 533 in a sample of 1170 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

What is the 99% confidence interval for the difference between the proportions of female and male drivers who state that they never speed, rounded to four decimal places? The lower limit is -0.0123 . The upper limit is 0.0992.

What is the critical value of z for the hypothesis test? 2.33

What is the value of the pooled sample proportion, rounded to four decimal places? 0.4753

What is the value of the test statistic, z, rounded to three decimal places? 2.008

What is the p-value for this test, rounded to four decimal places? 0.0223

Do you reject or fail to reject the null hypothesis? Fail to reject.

These are the solutions could someone show the work to reach them I'm not sure.

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