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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.
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Describe the asymptotic behavior of the solution as x aproches to infinity when the constants a, b , and k are varied.
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