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Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100 private practice doctors and 150 hospital doctors are selected at random and asked about the number of hours a week they work. The results are shown in Table

What can you conclude at the 5% significance level?

Short Answer

Expert verified

At the 5% significance level, there is adequate evidence to establish that the distribution of working hours of private practice doctors differs from the distribution of working hours of hospital doctors.

Step by step solution

01

Given information

The given data is

02

Explanation

From question 51, p-value is 0.00051

Assume the following hypothesis for the aforementioned test:

H0: The working hours of private practice doctors are distributed in the same way that hospital doctors' working hours are distributed.

H1:Private practice doctors' working hours are not distributed in the same way as hospital doctors' working hours are distributed.

Assume that the degree of significance is α=5%

p-value0<0.05

The p-value is less than α,H0is rejected.

At the 5% significance level, there is adequate evidence to establish that the distribution of working hours of private practice doctors differs from the distribution of working hours of hospital doctors.

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Most popular questions from this chapter

The expected percentage of the number of pets students have in their homes is distributed (this is the given distribution for the student population of the United States) as in Table 11.12.

Number of PetsPercent0181252303184+9

A random sample of 1,000students from the Eastern United States resulted in the data in Table 11.13.

Number of PetsFrequency02101240232031404+90

At the 1% significance level, does it appear that the distribution “number of pets” of students in the Eastern United States is different from the distribution for the United States student population as a whole? What is the p-value?

What is the test statistic?

Read the statement and decide whether it is true or false.

The test to use when determining if the college or university a student chooses to attend is related to his or her socioeconomic status is a test for independence.

Decide whether the following statements are true or false:

As the number of degrees of freedom increases, the graph of the chi-square distribution looks more and more symmetrical.

use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places car manufacturers are interested in whether there is a relationship between the size of the car an individual drives and the number of people in the driver’s family (that is, whether car size and family size are independent).To test this, suppose that 800car owners were randomly surveyed with the results in Table 11.44. Conduct a test of independence.

Family SizeSub & CompactMid-sizeFull-sizeVan & Truck
1
20
35
40
35
2
20
50
70
80
3-4
20
50
100
90
5+
20
30
70
70

Table 11.44

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