Volunteers at a teen hotline have been assigned based on the assumption that 40%
ID: 3361637 • Letter: V
Question
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 appropriate null and alternative hypotheses; 2) the appropriate test (CHI SQUARE OR ANOVA); 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.
DRUGS SEX STRESS EDUCATION # OF CALLS 50 37 25 8Explanation / Answer
Result:
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 appropriate null and alternative hypotheses;
Null hypothesis: distribution of primary issue raised are based on given distribution.
Alternative hypothesis: distribution of primary issue raised are based on different distribution
2) the appropriate test :CHI SQUARE test
3) the decision rule;
df=3
Critical chi square value : 7.815
Reject Ho if calculated value > 7.815
4) the calculation of the test statistic; and
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
50
40*120/100= 48.000
2.000
0.083
37
25*120/100= 30.000
7.000
1.633
25
25*120/100= 30.000
-5.000
0.833
8
10*120/100=12.000
-4.000
1.333
Total
120
120.000
3.883
5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.
Calculated chi square =3.883 < critical value 7.815.
Ho is not rejected.
We conclude that distribution of primary issue raised are based on the given distribution.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
50
40*120/100= 48.000
2.000
0.083
37
25*120/100= 30.000
7.000
1.633
25
25*120/100= 30.000
-5.000
0.833
8
10*120/100=12.000
-4.000
1.333
Total
120
120.000
3.883
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.