After you find the test statistic; Find the critical value X^2a= ? (Round to two
ID: 3368345 • Letter: A
Question
After you find the test statistic;
Find the critical value X^2a= ? (Round to two decimal places as needed)
What is the correct conclusion?
A.) reject Ho. There is not enough evidence to conclude that the proportion of voters differ among the three groups of voters. B.) reject Ho. There is enough evidence. C.) Do not reject Ho. There is not enough evidence. D.) Do not reject Ho. There is enough evidence.
B.) determine the meaning of the p-value
What is the p-value? (Round to 3 decimal places as needed)
What does the p-value mean? Select the correct choice and fill in the answer box to complete your choice. (Round to one decimal place as needed) A.) There is ___% chance of observing a test statistic greater than the actual test statistic value if there is no difference in the voter B.) given a very large number of samples, there is ___% chance of observing a sample with the given data. C.) there is a ___% margin of error for the accuracy of these data D.) there is a ___% chance of rejecting the null hypothesis when it should not be rejected
C.) how does party affiliation appear to affect the likelihood that a voter will choose the "focus on the economy" message to send to congress? A.) it appears indipendents are much more likely to send this message to congress B.) it appears republicans are much more likely to send this message to congress C.) it appears democrats are much more likely to send this message to congress D.) party affiliation does not matter
1 of6 (6 complete) Y HW Score: 0%, 0 o Question Help to send to Congress. The most popular response for all th 12.1.7-T A survey asked Democrats, Republicans, and Independent voters what the most important message is groups was to focus on the economy The number Complete parts a through c below of respondents, the messages they want sent, and their party affiliations are shown in the accompanying tab parts a through c Click the icon to view the political message data a Using #0 05, perform a chi square test to determine if the proportion of voters who responded focus on the economy" differs among the three groups of voters are the correct null and allernative hypotheses? OB Ho Not all p's are equai H1 Not all p's are equal What is the test statistic? X2- (Round to two dec mal places as needed ) Enter your answer in the answer box and then click Check Answer 5 remaining
Explanation / Answer
Ans:
a)Option A is correct.
Test statistic:
Chi square=14.11
df=(2-1)*(3-1)=2
critical chi square value=CHIINV(0.05,2)=5.99
As,test statistic is greater than critical chi square value,so we reject H0.There is enough evidence to conclude that the proportion of voters differ among the three groups of voters
(Option B is correct)
B)p-value=CHIDIST(14.11,2)=0.001
There is 0.1% chance of observing a test statistic greater than the actual test statistic value if there is no difference in the voter
(Option A is correct)
C)it appears indipendents are much more likely to send this message to congress
Observed count(fo) Message Democrat Republican Independent Total Focus on economy 55 58 64 177 Other 94 120 55 269 Total 149 178 119 446 Expected count(fe) Message Democrat Republican Independent Total Focus on economy 59.13 70.64 47.23 177 Other 89.87 107.36 71.77 269 Total 149 178 119 446 Chi square=(fo-fe)^2/fe Message Democrat Republican Independent Total Focus on economy 0.29 2.26 5.96 8.51 Other 0.19 1.49 3.92 5.60 Total 0.48 3.75 9.88 14.11