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 (multiple choice):

a. H0: Bedtime symptoms cause waking symptoms.

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

c. H0: Waking symptoms cause bedtime symptoms.

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

Alternative Hypothesis (multiple choice):

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

b. Ha: There is a 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 (multiple choice):

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.

     Waking
symptoms Bedtime symptoms Yes      No Yes 34 32 No 32 21

Explanation / Answer

Ans:

a)

percent of the students have lasting waking-life symptoms=(66/119)*100=55.46%

b)

percent of the students have both waking-life and bedtime symptoms=(34/119)*100=28.57%

c)Option b is correct.

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

Option b is correct.

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

As,p-value=0.3336>0.01,we fail to reject null hypothesis.

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

option b is correct.

Observed(O) walking symptoms Bedtime symptoms Yes No Total Yes 34 32 66 No 32 21 53 Total 66 53 119 Expected(E) walking symptoms Bedtime symptoms Yes No Total Yes 36.61 29.39 66 No 29.39 23.61 53 Total 66 53 119 (O-E)^2/E Bedtime symptoms Yes No Yes 0.185 0.231 No 0.231 0.287 Chi square score=0.935

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