Question

A research conducted by the University of Michigan claimed that there are more female drivers in the USA than male drivers.A researcher decides to test this claim on his state.In his simple random sample of 900 observations,he noticed that 468 of 900 were women.At  = 0.05,is there enough evidence to support the claim? (Use the P-value method where (z < 1.20) = 0.8849)

Answer 1

Population proportion po = 0.50

sample proportion p(hat0 = 468/900

sample size n = 900

significance level = 0.05

We have to test whether the proportion of female is more than male drives. So, it is a right tailed hypothesis

test statistic =

Now, finding the p value

(it is given that P(z<1.2) is 0.8849)

So, P(z> 1.2) =1 - P(z<1.2)

= 1-0.8849

= 0.1151

it is clear that the p value is greater than the significance level of 0.05, so we failed to reject the null hypothesis

therefore, we can say that there is insufficient evidence to support the claim.