Question

1. A recent study of seat belt use found that for a random sample of 117 female Hispanic drivers in Boston; 68 were wearing seat belts. Is this sufficient evidence to claim that the proportion of all female Hispanic drivers in Boston who wear seat belts is greater than 50%. Use a significance level of 5%.
   1. This problem is about (circle the correct one):

One population proportion                      Two population proportions        

One population mean                             Two populations means (Independent samples)

One population standard deviation        Two populations means (paired samples)

Two population standard deviations

2. State the null and alternate hypotheses.

3. What is the level of significance?

4. List the requirements and show the numbers or information given to meet each requirement.

5. Circle which of the following Statcrunch methods you would use to test the hypothesis stated in part (b).

Proportion Stats – One sample         Proportion Stats-Two samples

Variance Stats – One sample           Variance Stats – Two samples

T Stats - One sample                 T Stats-Two samples (Independent)

T Stats - Paired

6. If the P-value = 0.0395, show details of determining if Ho is rejected or not.

7. Write the interpretation of the results of the hypothesis test.

Answer 1

1) The problem is about one population proportion.

2) H0 : proportion of all female Hispanic drivers in Boston who wear seat belts is 50%.

H1 : proportion of all female Hispanic drivers in Boston who wear seat belts is greater than 50%.

Level of significance is 0.05

3) Total N= 117, Favourable success X = 68 , proportion p = 0.50.

4) Statcrunch method - proportion stats - one sample.

5) p value = 0.04

6) Decision - reject H0 when p value is less than 0.05

Conclusion/ interpretation - proportion of all female Hispanic drivers in Boston who wear seat belts is greater than 50% . PL?☺️