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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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