The following Table displays the 100 senators of the 113th US Congress on Januar
ID: 3324628 • Letter: T
Question
The following Table displays the 100 senators of the 113th US Congress on January 3, 2013, classified by political party affiliation and gender. Conduct a Hypothesis Test to verify that Senator Gender is Independent of Party Affiliation. Test the claim to a significance level of 0.01 Male Female Democrat 36 16 Republican 42 4 Independent 20 State the Null Hypothesis State the Alternate Hypothesis: Find the value of the Test Statistic: Determine the Critical Value: Find the P-value: Based on the Test Statistic: Based on the P-Value: The final conclusion is the Null Hypothesis because (what?) the Null Hypothesis becauseExplanation / Answer
null hypothesis:Ho: gender and part affliation are indepndent/
Alternate hypothesis:Ha:gender and part affliation are depndent.
applying chi square test:
test statistic =7.9431
critical value for 2 df and 0.01 level =9.2103
p value =0.0188
based on test statistic fail to reject the null hypothesis as test statistic is less than critical vlaue
based on p vlaue fail to reject the null hypothesis as p value is greater than alpha
the final conclusion is that we do not have enough evidence to conclude that gender and part affliation are depndent.
Observed O male female Total democrat 36 16 52 Republican 42 4 46 Independent 2 0 2 Total 80 20 100 Expected E=rowtotal*column total/grand total male female Total democrat 41.600 10.400 52 Republican 36.800 9.200 46 Independent 1.600 0.400 2 Total 80 20 100 chi square =(O-E)^2/E male female Total democrat 0.7538 3.0154 3.769 Republican 0.7348 2.9391 3.674 Independent 0.1000 0.4000 0.500 Total 1.589 6.355 7.9431