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 0.05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three-year period? Determine thep-value.Hint: For the calculations, assume the single personsas the first sample.

a.State the decision rule.(Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Choose the correct word and fill in the blank for the interval plot.

H0 is rejected if z (outside, inside) the interval (_____,_____)

b.Compute the pooled proportion.(Round your answer to 2 decimal places.)

c.Compute the value of the test statistic.(Round your answer to 2 decimal places.)

d.Compute thep-value.(Round your answer to 4 decimal places.)

e.What is your decision regarding the null hypothesis?

A) Reject H0

B) Do not reject H0