Question

1.A group of psychologists is interested in determining if private practice doctors and hospital doctors have the same distribution of working hours. They survey 150 private practice doctors and 150 hospital doctors (selected at random) and asked about the number of hours per week they worked Determine whether there is a difference in hours worked per week for private practice and hospital doctors.

	20-30	30-40	40-50	50-60
Private Practice	62	44	38	6
Hospital	22	44	59	25

1. What kind of statistical test will you be performing?

2. Will you need to test for equal variance? If so, what are your results and how does that influence the next steps in your analysis?

3. What are your null and alternative hypotheses?

H₀:

H_A:

4. Discuss the results of your analysis. Will you accept or reject your null hypothesis? Why? What can you specifically say about the data?

Answer 1

We will use chi-square test of independence

Ho: there is no difference in hours worked per week for private practice and hospital doctors.

Ha: there is difference in hours worked per week for private practice and hospital doctors.

TS = 35.239

p-value = 0

we reject the null hypothesis

we conclude that there is difference in hours worked per week for private practice and hospital doctors.