Question

In a survey of 340 drivers in the Midwest, 289 wear a seat belt. In a survey of 300 drivers from the Northeast, 282 wear a seat belt. At  = 0.10 , can you support the claim that the proportion of drivers who wear seat belts in the Midwest is less than the proportion of drivers who wear seat belts in the Northeast?

[1pt] Check n1p , n1q, n2 p, n2q

   

1). [4pt] State the hypothesis and label which represents the claim:

2). [1pt] Specify the level of significance  =
3). [4pts] Sketch the appropriate distribution, find and label

in  .

H 0 :

H a :

4). [4pt] Write the formula for the test statistic, including all necessary values, and give its computed value.

5). [2pt] Decision:

6). [2pt] Write a statement to interpret the decision in the context of the original claim.

Answer 1

Z critical value is taken from z table at Alfa = 0.10 as z cri = -1.28 for left tailed test.