1.) A researcher has conducted a survey experiment evaluating public support for

Question

1.) A researcher has conducted a survey experiment evaluating public support for different kinds of commuter subsidies. The treatment group in her experiment is exposed to a vignette about a policy that provides subsidies for public transportation use. The control group in her experiment is exposed to a vignette about a policy that reflects the current plan, and includes only a small tax incentive for commuters. Each respondent is asked on a scale of 1-5 (1-Strongly Against-5-Strongly Supportive) how much they support this transportation policy. She wishes to determine whether or not respondents will be more supportive of one type of transit incentive over another. She has a survey sample of about 80 participants (40 treatment, 40 control).

a.) What type of bivariate hypothesis test might the researcher use to test the difference between the control and treatment group responses?

b.) Why is this (part a) the best test for her data and question?

c.) If she ran the appropriate test and got a p-value of 0.004, what would this tell us about the difference between the control and treatment group in her experiment?

Explanation / Answer

a)
Below are the null and alternate hypothesis
H0: mu1 - mu2 = 0
H1: mu1 - mu2 not equals to 0

b) This is best test for this because we are interested in knowing whether two groups mean differ.

c) As the p-value is less than the significance level of 0.004, we reject the null hypothesis.
This means there are significant evidence to conclude that there is difference in the mean of two groups

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