Fear of darkness is a common emotion. The following data were obtained by asking 200 individuals in each age group whether they had serious fears of darkness. At α = 0.01, do we have sufficient evidence to reject the hypothesis that "The same proportion of each age group has serious fears of darkness"?
|
Age Group
|
Elementary
|
Jr. High
|
Sr. High
|
College
|
Adult
|
|
No. Who Fear Darkness
|
83
|
72
|
49
|
36
|
114
|
a. The above table is an incomplete contingency table even though at first glance it might appear to be multinomial. Explain why. (Hint: The contingency table must account for all 1000 people.)
b. Solve using the p-value approach.
c. Solve using the classical approach.