A survey asked Democrats, Republicans, and independent voters what the most important message is to send to Congress. Th

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A Survey Asked Democrats Republicans And Independent Voters What The Most Important Message Is To Send To Congress Th 1 (73.71 KiB) Viewed 82 times

A survey asked Democrats, Republicans, and independent voters what the most important message is to send to Congress. The most popular response for all three groups was to "focus on the economy." The number of respondents, the messages they want sent, and their party affiliations are shown in the accompanying table. Complete parts a through c below Click the icon to view the political message data. a. Using a=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. What are the correct null and alternative hypotheses? OA. Ho: PD - PRED H.: Not all p's are equal OB. Ho: Po PRP H: P = PREPI OC. H.: Not all p's are equal H: Pp = PREPI OD. Ho: Pp = PREPI H: Po PR What is the test statistic? x² x=(Round to two decimal places as needed.) X What is the critical value? ... Political messages x=(Round to two decimal places as needed.) What is the correct conclusion? Message Focus on economy Other Total Democrat 54 98 150 Republican 55 117 172 Independent 61 57 118 O A. Do not reject H. There is enough evidence to conclude that the proportions of voters differ among the three groups of voters. OB. Reject Ho. There is not enough evidence to conclude that the proportions of voters differ among the three groups of voters. OC. Do not reject H. There is not enough evidence to conclude that the proportions of voters differ among the three groups of voters. OD. Reject Ho. There is enough evidence to conclude that the proportions of voters differ among the three groups of voters. Print Done b. Interpret the meaning of the p-value What is the p-value? - P-value = (Round to three 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.) O A. Given a very large number of samples, there is a % chance of observing a sample with the given data. OB. There is a % chance of observing a test statistic value greater than the actual test statistic value if there is no difference in the voter proportions. OC. There is a % margin of error for the accuracy of these data. OD. 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 that Democrats are much less likely to want to send this message to Congress than Republicans or Independents who are fairly close in likelihood. , . OB. It appears that Independents are much more likely to want to send this message to Congress than Democrats or Republicans, who are fairly close in likelihood. OC. It appears that Republicans are much less likely to want to send this message to Congress than Democrats or Independents, who are fairly close in likelihood. OD. Party affiliation does not appear to affect the likelihood that a voter will choose this message because the three proportions are all fairly close in likelihood or because the null hypothesis was not rejected.