Question

An insurance agent is curious if there was a difference between the automobile accident rates for single drivers and married drivers. a random sample of 1,000 insurance policies included 572 single drivers and 428 married drivers. during the previous three years, 176 of the single drivers and 152 of the married drivers had been involved in at least one accident. compute the test statistic for a hypothesis test to compare the population proportions of accidents. assume that the conditions for a hypothesis test for the difference between the population proportions are met. round your answer to two decimal places.

Answer 1

To compute the test statistic for the hypothesis test to compare the population proportions of accidents for single drivers and married drivers, use the formula: test statistic = (p1 - p2) / sqrt((p1(1-p1)/n1) + (p2(1-p2)/n2)).

Step-by-step explanation:

To compute the test statistic for the hypothesis test to compare the population proportions of accidents for single drivers and married drivers, we can use the formula for the test statistic of difference in two proportions:

test statistic = (p1 - p2) / sqrt((p1(1-p1)/n1) + (p2(1-p2)/n2))

In this case, p1 represents the proportion of single drivers involved in accidents, p2 represents the proportion of married drivers involved in accidents, n1 represents the sample size of single drivers, and n2 represents the sample size of married drivers.

Substituting the given values into the formula:

test statistic = (176/572 - 152/428) / sqrt((176/572(1-176/572)/572) + (152/428(1-152/428)/428))