Question

A team of researchers (Singer et al., 2000) used the Survey of Consumer Attitudes to investigate whether incentives would improve the response rates on telephone surveys. A national sample of 735 households was randomly selected, and all 735 of the households were sent an "advance letter" explaining that the household would be contacted shortly for a telephone survey. However, 368 households were randomly assigned to receive a monetary incentive along with the advance letter, and of these 286 responded to the telephone survey. The other 367 households were assigned to receive only the advance letter, and of these 245 responded to the telephone survey.1. Use an appropriate randomization-based applet to find a p-value. Round your answer to two decimal places.2. Based on this p-value, how much evidence do you have against the null hypothesis?a. We have very strong evidence against the null hypothesisb. We have no evidence against the null hypothesisc. We have very weak evidence against the null hypothesis.3. Calculate an appropriate standardized statistic in the context of the study. Round to two decimal places.4. The p-value and standardized statistic both lead you to the same conclusion.True or false?

Answer 1

To determine if incentives improve response rates, a randomization-based applet provides a p-value to decide on the null hypothesis. A low p-value indicates strong evidence against the null hypothesis. A standardized statistic supplements this finding for a consistent conclusion.

Step-by-step explanation:

To investigate whether incentives improve response rates on telephone surveys, a national sample of 735 households was used with an advance letter sent to all. 368 households received a monetary incentive, with 286 responding, while 245 out of the 367 who received only the advance letter responded. To analyze this, a randomization-based applet can be used to obtain the p-value for testing the null hypothesis that incentives do not affect response rates against the alternative that they do. Although details on the randomization procedure and resulting p-value are not provided, the applet output would guide the hypothesis testing decision.

If the p-value is low (typically less than 0.05), this would suggest strong evidence against the null hypothesis. We would also calculate a standardized statistic (like a z-score) to measure the effect size. If the p-value and the standardized statistic lead to the same conclusion about the null hypothesis, we can say that the finding is consistent.

Answer 2

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