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: (Which one is correct)

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

0: Bedtime symptoms cause waking symptoms.

0: Waking symptoms cause bedtime symptoms.

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

Alternative Hypothesis:(Which one is correct)

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

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

Ha: Bedtime symptoms cause waking symptoms.

Ha: Waking symptoms cause bedtime symptoms.

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

     Waking
symptoms Bedtime symptoms Yes      No Yes 34 32 No 34 19

Explanation / Answer

a)

percent of the students have lasting waking-life symptoms=(68/119)*100=57.14%

b)

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

c)

Null Hypothesis: 0: There is no relationship between waking and bedtime symptoms.

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

applying chi square test:

?2 =1.916

df =(row-1)*(column-1)=(2-1)*(2-1)=1

p value =0.166

Expected Ei=?row*?column/?total Yes No Total Yes 37.714 28.286 66 No 30.286 22.714 53 Total 68 51 119 chi square =(Oi-Ei)2/Ei Yes No Total Yes 0.37 0.49 0.85 No 0.46 0.607 1.06 Total 0.82 1.10 1.916

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