Question

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

Short answer

$H_0:$The private doctor and the hospital doctor work the same number of hours.

$H_a:$The working hours of private doctors and hospital doctors are not evenly distributed.

Step-by-step solution

Given information

The given data is

Explanation

$H_0:$The null hypothesis is as follows: It's a declaration that there's no difference between mean differences or percentage, or between a sample mean or proportion and the community mean or proportion. To put it another way, the discrepancy is zero.

$H_a:$The other alternative is: It's a demographic claim that goes against the assumptions and what we conclude when we reject $H_0$.

We conclude that the private doctor and the hospital doctor have the same working hour distributed based on the concept of null hypothesis.

We infer that private doctors and hospital doctors do not share the same working hour allocation, based on the concept of alternate hypothesis.