The research department at the home office of New Hampshire Insurance conducts ongoing research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three-year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident.
At the .05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three-year period? Determine the p-value. Hint: For the calculations, assume the single persons as the first sample.
(1) The pooled proportion is . (Round your answer to 2 decimal places.)
(2) The decision rule is to reject if z is (Click to select)outsideinside the interval (, ). (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
(3) The test statistic is z = . (Round your answer to 2 decimal places.)
(4) The p-value is . (Round your answer to 4 decimal places.)
(5) What is your decision regarding ? (Click to select)Do not reject.Reject.