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 35 32

No 32 20

(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:

H0: Bedtime symptoms cause waking symptoms.

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

H0: Waking symptoms cause bedtime symptoms.

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

Alternative Hypothesis:

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.

Ha: Waking symptoms cause 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:

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

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

Answer 1