Question

6) The contingency table below shows the results of a random sample of 200 registered voters that was conducted to see whether their opinions on a bill are related to their party affiliation. Level of significance: α = 0.05

Party		Opinion
	Approve	Disapprove	No Opinion
Republican	42	20	14
Democrat	50	24	18
Independent	10	16	6

Find the P-value to test the claim of independence.

STEP 1: Hypothesis Ho: ___________________________________ vs H1: ___________________________________

STEP 2: Restate the level of significance: ______________________

STEP 4: p-value:__________________ from the appropriate test on calculator.

STEP 5: Conclusion.

Answer 1

Answer Date: 23/04/2020 To test the hypothesis is that voters opinions on a bill are related to their party affiliation. Step 1 The null and alternative hypothesis is, The null hypothesis is that voters opinions on a bill are not related to their party affiliation. The alternative hypothesis is that voters opinions on a bill are related to their party affiliation Step 2 The level of significance is 0.05. Step 4 The p-value is,

By using TI-84 calculator, find p-value with the help of following steps: Click ON then click STAT. 2) Choose 2nd from x? Enter 3x3 from MATRIX (A) in Edit menu. Enter 3x3 data. 5) Press STAT. Select C:Chi-Square Test, from TESTS. Press Calculate. K2-Test X2=8.036489896 P=.6964676773 From TI-84 calculator output, the p-value is 0.0905). Step 5 Decision

The conclusion is that the significant p-value is higher than 0.05 which is 0.0905, so the null hypothesis is not rejected at 5% level of significance. There is insufficient evidence to indicate that voters opinions on a bill are related to their party affiliation. The result is not statistically significant.