As part of the study on ongoing fright symptoms due to exposure to horror movies

Question

As part of the study on ongoing fright symptoms due to exposure to horror movies at a young age, the following table was presented to describe the lasting impact these movies have had during bedtime and waking life:

(a) What percent of the students have lasting waking-life symptoms? (Round your answer to two decimal places.)
______ %

(b) What percent of the students have both waking-life and bedtime symptoms? (Round your answer to two decimal places.)
_______ %

(c) Test whether there is an association between waking-life and bedtime symptoms. State the null and alternative hypotheses. (Use

? = 0.01.)

Null Hypothesis: (multiple choice, select one)

- H0: There is a relationship between waking and bedtime symptoms.

- H0: Bedtime symptoms cause waking symptoms.    

- H0: There is no relationship between waking and bedtime symptoms.

- H0: Waking symptoms cause bedtime symptoms.

Alternative Hypothesis: (multiple choice, select one)

- Ha: There is no relationship between waking and bedtime symptoms.

- Ha: Bedtime symptoms cause waking symptoms.    

- Ha: There is a relationship between waking and bedtime symptoms.

- Ha: Waking symptoms cause bedtime symptoms.

State the ?2 statistic and the P-value. (Round your answers for ?2 and the P-value to three decimal places.)

Conclusion: (multiple choice, select one)

- We have enough evidence to conclude that there is a relationship.

- We do not have enough evidence to conclude that there is a relationship.

     Waking
symptoms Bedtime symptoms Yes      No Yes 36 34 No 33 16

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Bedtime symptoms
Columns: None

Chi-Square test:

Hence,

a) % of students having waking-life syndrom = (36 + 33)/(36 + 34 + 33 + 16) = 57.98%

b) % of students having both syndroms = 36/119 = 30.25%

c) Null hypothesis:  H0: There is no relationship between waking and bedtime symptoms.

Alternative hypothesis: Ha: There is a relationship between waking and bedtime symptoms.

X2 = 2.998

df = 1

P = 0.083

We do not have enough evidence to conclude that there is a relationship.

Yes No Total Yes 36 34 70 No 33 16 49 Total 69 50 119

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