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

(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:

- H0: Bedtime symptoms cause waking symptoms.

- H0: Waking symptoms cause bedtime symptoms.

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

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

Alternative Hypothesis:

- Ha: Waking symptoms cause bedtime symptoms.

- Ha: Bedtime symptoms cause waking symptoms.

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

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

?2 =

df =

P =

Conclusion:

- 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 32 No 33 18

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Bedtime Symptoms
Columns: None

Chi-Square test:

Hence,

a) Percent of the students have lasting waking-life symptoms = 57.98%

b) Percent of the students have both waking-life and bedtime symptoms = 30.25%

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

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

X2 = 1.66

df = 1

P = 0.198

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

Cell format Count
(Percent of total)

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