Question

Two hundred randomly selected people were asked to state their primary source for news about current events: (1) Television, (2) Radio, (3) Internet, or (4) Other. We wish to determine whether the percent distribution of responses is 10%, 30%, 50% and 10% for news sources 1 through 4 respectively. What is the null hypothesis?

Answer 1

Explanation:

Hello!

You have a sample of 200 people, they were asked their primary source of news, categorized in (1) Television, (2) Radio, (3) Internet and (4) Other.

And your objective is to test if the proportions in this sample follow the known frequencies 10%, 30%, 50%, and 10%.

The propper statistic test to use to probe if the sample follows the known or historical distribution is Chi-Square goodness of fit test. In this test, what you state in the null hypothesis is the model or distribution you want to test. In this case, you've to write down the proportions for each category:

H₀: P(1)= 0.10; P(2)= 0.30; P(3)= 0.50; P(4)= 0.10

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