During the first few weeks of the new television season, the evening news audience proportions were recorded as ABC - 31%, CBS - 34%, and NBC - 35%. A sample of 600 homes taken recently yielded the following viewing audience data.
We want to determine whether or not there has been a significant change in the proportion of viewing audience of the three networks.
a.
State the null and alternative hypotheses to be tested.
b.
Compute the expected frequencies.
c.
Compute the test statistic.
d.
The null hypothesis is to be tested at the .05 level of significance. Determine the critical value for this test. What do you conclude?
e.
Determine the p-value and perform the test.

Question

During the first few weeks of the new television season, the evening news audience proportions were recorded as ABC - 31%, CBS - 34%, and NBC - 35%. A sample of 600 homes taken recently yielded the following viewing audience data.  ​
We want to determine whether or not there has been a significant change in the proportion of viewing audience of the three networks. 
a.
State the null and alternative hypotheses to be tested.
b.
Compute the expected frequencies.
c.
Compute the test statistic.
d.
The null hypothesis is to be tested at the .05 level of significance. Determine the critical value for this test. What do you conclude?
e.
Determine the p-value and perform the test.

Quizplus · Accepted Answer

The Answer of During the first few weeks of the new television season, the evening news audience proportions were recorded as ABC - 31%, CBS - 34%, and NBC - 35%. A sample of 600 homes taken recently yielded the following viewing audience data.  ​
We want to determine whether or not there has been a significant change in the proportion of viewing audience of the three networks. 
a.
State the null and alternative hypotheses to be tested.
b.
Compute the expected frequencies.
c.
Compute the test statistic.
d.
The null hypothesis is to be tested at the .05 level of significance. Determine the critical value for this test. What do you conclude?
e.
Determine the p-value and perform the test.

During the First Few Weeks of the New Television Season