In: Math
Listed below are attractiveness ratings made by participants in a speed dating session. Each attribute rating is the sum of the ratings of five attributes (sincerity, intelligence, fun, ambition, shared interests).
Rating of Male by Female | 4 | 8 | 7 | 7 | 6 | 8 | 6 | 4 | 2 | 5 | 9.5 | 7 |
Rating of Female by Male | 6 | 8 | 7 | 9 | 5 | 7 | 5 | 4 | 6 | 8 | 6 | 5 |
Use a 0.05 significance level to test the claim that there is a difference between female attractiveness ratings and male attractiveness rating by following the steps below:
(a) State the null and alternative hypotheses, indicate the significance level and the type of test (left-, right-, or two-tailed test).
(b) Calculate by hand the test statistic.
(c) Use the appropriate sheet in the Hypothesis Test and Confidence Interval template to complete all relevant computations (including the test statistic: compare with (b) to confirm your calculation is correct).
(d) Use the P-value obtained in (c) to explain whether or not the null hypothesis is rejected.
(e) What can be concluded based off this data?
(f) Are there any potential issues related to the validation of the result (Hint: the subjective nature of the measures)