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.)
____%

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

(b) Test whether there is an association between waking-life and bedtime symptoms. State the null and alternative hypotheses. (Use = 0.01.)

Null Hypothesis:

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

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

H0: Waking symptoms cause bedtime symptoms.

H0: Bedtime symptoms cause waking symptoms.

Alternative Hypothesis:

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

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

Ha: Bedtime symptoms cause waking symptoms.

Ha: Waking symptoms cause bedtime symptoms.

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

(d) 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 35 33 No 33 18

Explanation / Answer

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

= (35 + 33) / (35 + 33 + 33 + 18)

= 4/7

= 57.14%

Percent of the students have both waking-life and bedtime symptoms

= 35 / (35 + 33 + 33 + 18)

= 5 / 17

= 29.41%

b) Null Hypothesis:

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

Option A is correct.

Alternative Hypothesis:

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

Option A is correct.

c) The statistical software output for this problem is:

Contingency table results:
Rows: BS/ WS
Columns: None

Chi-Square test:

Hence,

X2 = 2.085

df = 1

P = 0.149

d) Conclusion:

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

Option B is correct.

Yes No Total Yes 35 33 68 No 33 18 51 Total 68 51 119

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