As part of the study on ongoing fright symptoms due to exposureto horror movies at a young age, the following table was presentedto describe the lasting impact these movies have had during bedtimeand waking life:

	   Â	Waking symptoms
Bedtime symptoms		Yes	   Â	No
Yes		35		33
No		33		18

(a) What percent of the students have lasting waking-lifesymptoms? (Round your answer to two decimal places.)
%

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

(c) Test whether there is an association between waking-life andbedtime symptoms. State the null and alternative hypotheses. (Useα = 0.01.)

Null Hypothesis:

H₀: Bedtime symptoms cause wakingsymptoms.H₀: Waking symptoms cause bedtimesymptoms.     H₀:There is a relationship between waking and bedtimesymptoms.H₀: There is no relationship betweenwaking and bedtime symptoms.

Alternative Hypothesis:

H_a: Bedtime symptoms cause wakingsymptoms.H_a: There is no relationshipbetween waking and bedtimesymptoms.     H_a:There is a relationship between waking and bedtimesymptoms.H_a: Waking symptoms causebedtime symptoms.

State the χ² statistic and theP-value. (Round your answers for χ²and the P-value to three decimal places.)

χ2	=
df	=
P	=

Conclusion:

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

We have enough evidence to conclude that there is arelationship.