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? a. H0: p1= .10, p2 = .30, p3 = .50, p4 = .10 b. H0: p1 = .25, p2 = .25, p3 = .25, p4 = .25 c. H0: p = .50 d. H0: the proportions are not all equal.

Answer 1

H0 as the proportions are not as per the given estimation

Explanation:

Given that 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.

The hypothesised distribution is with 10%, 30%, 50%, and 10% for news sources 1 through 4, respectively

To check whether this is correct, we need not do test for each proportion

Instead we can do hypothesis testing for chi square goodness of fit with

H0 as the proportions are not as per the given estimation