Question

2. A test to determine if major is related to social skills looks at 4 different majors and whether the student has social skills. The test has a p-value of 0.55. What is the conclusion? a. Because the number of majors is less than 5, no conclusions can be drawn. b. The p-value is less than α, so there is evidence to suggest a link between major and social skills. c. The p-value is greater than α so there is not evidence to suggest a link between major and social skills. d. The p-value is greater than α, so there is evidence to suggest a link between major and social skills. e. The p-value cannot be great than ½, so an error was made

Answer 1

Here the level of significance(α) is not known so we we assume hypothetically α=0.05 (you can also consider 0.01 or 0.10 . In such case when α is knot known either p value is very low or very high so either we reject H0 or fail to reject)

H0: There is no link between major and social skills.

Ha: There is like between major and social skills.

In the given case:

p-value =0.55

Since p value > α (Also true for  α of 0.01 or 0.10 )

We failed to reject Ho.

Conclusion: The p-value is greater than α so there is not evidence to suggest a link between major and social skills.

Correct option (C)