Question

As a researcher, we tested the hypothesis that there is a difference in attractiveness between a hat-backwards condition and a hat-forwards condition. We recruited 6 undergraduates who completed the Index of Hat-Position Attractiveness scale (IHPAS) while wearing the hat backwards, and then while wearing the hat forwards. Assuming a two tailed test with a critical value of 5% and a corresponding t_crit of 2.571, you found a t-score of 12.65. Answer the following questions about this study.

8. Based on this information, what is the research hypothesis? (Feel free to write it out or use statistical notation)

9. To test this hypothesis, why can’t we use a z-test? What test should we use instead?

10. In 1-2 sentences report the findings as you would if writing a results section, consistent with APA format.

Answer 1

8)

9) Population standard deviation is to be known if using Z distribution

10)

a two tailed test with

critical value for significance level

corresponds to ,

you found test statistic:

Hence reject the null hypothesis as the test statistic is > 2.571 criticl value

Thus we have evidence that there is a difference in attractiveness between a hat-backwards condition and a hat-forwards condition.