Volunteers at a teen hotline have been assigned based on the assumption that 40% of all calls are drug related, 25% are sex related, 25% are stress related, and 10% concern educational issues. For this investigation each call is classified into one category based on the primary issue raised by the caller. To test the hypothesis, the following data are collected from 120 randomly selected calls placed to the teen hotline. Based on the data, is the assumption regarding distribution of topic issues appropriate? Use alpha=.05 1) the calculation of the test statistic; and 2) your conclusion including a comparison to alpha or the critical value.

Drugs

Sex

Stress

Education

# of calls

50

37

25

8

Introduction:
It must be verified whether the observed number of calls under each category agrees with the assumed values for that category. For this purpose, it is suitable to use a chisquared test for goodness of fit.
Assumptions:
According to the given information, this assumption is satisfied as the data is collected randomly.
The variable is the “nature of teen issue discussed in a hotline call”, which is categorical, and has 4 categories.
The expected probabilities for the categories: drug, sex, stress, and educational issues are p1 = 0.4, p2 =...
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