Please note this is all the information I have been given.

Please refer to the image for the table.

A team of researchers used the Survey of Consumer Attitudes to investigate whether incentives would improve response rates on telephone surveys. A national sample of 735 households was selected for the survey. 368 households were randomly assigned to receive a monetary incentive and of these 286 responded to the survey. The other 367 households were assigned to only receive an advance letter and of these 245 responded to the survey.

Questions:

1) Compute the conditional proportions to evaluate if monetary incentives improve the response rate.

2) Compute the relative risk of responding to a telephone survey, comparing those households who received a monetary reward to those who only received an advance letter.

3) If the above hypothesis test turns out to have a very small p-value (0.001), which one of the following is the best conclusion to be taken.

a. Conclude that there is no difference in survey response rates between households who received a monetary reward to those received an advance letter.

b. that there is a difference in survey response rates between households who received a monetary reward to those received an advance letter.

c. Conclude that there is a higher survey response rate from households who received a monetary reward compared to those received an advance letter.

d. None of the above.

A team of researchers used the Survey of Consumer Attitudes to investigate whether incentives would improve response rates on telephone surveys. A national sample of 735 households were selected for the survey. 368 households were randomly assigned to receive a monetary incentive and of these 286 responded to the survey. The other 367 households were assigned to only receive an advance letter and of these 245 responded to the survey. a) Identify the observational units in this study. The households who were randomly assigned an incentive b) Organize the counts in a well labeled 2x2 table properly identifying the explanatory and response variables. Received an incentive? Total Yes No Responded to Yes 286 245 531 the telephone survey? No 82 122 204 Total 368 367 735