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:

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

(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 α = 0.01.)

Null Hypothesis:

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

B. H₀: Bedtime symptoms cause waking symptoms.    

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

D. H₀: Waking symptoms cause bedtime symptoms.

Alternative Hypothesis:

A. H_a: There is a relationship between waking and bedtime symptoms.

B. H_a: Bedtime symptoms cause waking symptoms.    

C. H_a: Waking symptoms cause bedtime symptoms.

D. H_a: There is no relationship between waking and bedtime symptoms.

State the χ² statistic and the P-value. (Round your answers for χ² and the P-value to three decimal places.)

χ2	=
df	=
P	=

Conclusion:

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

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

Answer 1

The statistical software output for this problem is:

Hence,

a) 57.98%

b) 30.25%

c) Null: H₀: There is no relationship between waking and bedtime symptoms. Option C is correct.

Alternative: Ha: There is a relationship between waking and bedtime symptoms. Option A is correct.

= 2.998

DF = 1

P - value = 0.083

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