Question

A community newspaper asked the following question and surveyed a random sample of residents. “Do you think it should be legal or illegal for a child to use the Internet to harass another child?” Data were tabulated based on their political view and the response. A chi-square test was conducted to test whether the opinion and the political ideology are related. The chi-square test statistic was calculated to be 7.6645

	Conservative	Moderate	Liberal
Legal	27	22	14
Illegal	119	196	124
Not Sure	19	24	21

a. State the hypotheses:

H₀:

H₁:

b. Find the df:________________and the p-value (four decimal places): __________________________

c. If the test statistic χ² = 7.6645, state your conclusion at 0.05 significance level for the relationship of opinion and political view.

Answer 1

c)

. If the test statistic χ² = 7.6645 < X_c² = 9.488 , hence null hypothesis is not rejected , there is NOT enough evidence that the variables are dependent at 0.05 significance level