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Ben is interested in flirting. He wants to know what kinds of people
Question: Ben is interested in flirting. He wants to know what kinds of people are likely to be good (and bad) at flirting. He thinks that self-confidence will be correlated with flirting ability, but he’s not sure which way it will go. High self-confidence should make for good flirters, but if people are too self-confident, it might hurt their flirting performance. So he gives a number of students a self-confidence measure (Y) and then watches them try to flirt with people at an off-campus bar (X). Both scales range from 1 (low) to 7 (high). He records the following scores:
Self-Confidence (X) Flirting (Y) 4 5 6 3 6 5 7 6 6 7 3 1 6 4 2 3 3 2 3 4
- a) Compute the correlation for these scores. (SHOW YOUR WORK! Use as much space as necessary.)
- b) What does this correlation tell us about the relationship between self-confidence and flirting ability?
- c) What is Ben’s alternative hypothesis?
- d) What is Ben’s null hypothesis?
- e) What is the coefficient of determination for these scores?
- f) How did you compute the coefficient of determination?
- g) How many degrees of freedom are there in this example?
- h) How did you compute the degrees of freedom? Should Ben perform a one-tailed or two-tailed test? Why?
- i) Assuming α = .05, what is the critical value for this example?
- j) Is the correlation you computed statistically significant? YES or NO
- k) How do you know whether or not the correlation is statistically significant?