Q:

A police office claims that the proportion of people wearing seat belts is less than 65%. To test this claim, a random sample of 200 drivers is taken and its determined that 126 people are wearing seat belts. The following is the setup for this hypothesis test:H0:p=0.65Ha:p<0.65Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.

Accepted Solution

A:
Answer:Option A - There is sufficient evidence to conclude that the proportion of people wearing seat belts is less than 65%Step-by-step explanation:The police officers claim is that the proportion of people wearing seat belts is less than 65%. Now, we are told that the p - value is 0.277. In hypothesis, for a significance value of 0.05, if the P value is less than 0.05, we reject the null hypothesis and if P value is greater than or equal to 0.05, we fail to reject the null hypothesis.Now, since the significance level is 5% = 0.05,we can see that the P-value is greater than the significance value of 0.05. Thus, we fail to reject the police claim that the proportion of people wearing seat belts is less than 65%.So the correct option is A.