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:

a. H0: Waking symptoms cause bedtime symptoms.

b. H0: Bedtime symptoms cause waking symptoms.

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

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

Alternative Hypothesis:

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

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

c. Ha: Waking symptoms cause bedtime symptoms.

d. Ha: Bedtime symptoms cause waking symptoms.

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

Conclusion:

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

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

     Waking
symptoms Bedtime symptoms Yes      No Yes 35 32 No 34 18

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Symptoms
Columns: None

Chi-Square test:

Hence,

a) 57.98%

b) 29.41%

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

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

d) X2 = 2.077

Df = 1

P value = 0.150

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

Cell format Count
(Percent of total)

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