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.)

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 35 32 No 34 18

Explanation / Answer

Ans:

a)

Percent of the students have lasting waking-life symptoms=100*69/119=57.98%

b)

percent of the students have both waking-life and bedtime symptoms=100*35/119=29.41%

c)

Chi square=2.077

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

p-value=CHIDIST(2.077,1)=0.150

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

There is not sufficient evidence to conclude that  there is an association between waking-life and bedtime symptoms.

Observed freq.(fo) walking symptoms Bedtime sym. Yes No Total Yes 35 32 67 No 34 18 52 Total 69 50 119 Expected freq.(fe) walking symptoms Bedtime sym. Yes No Total Yes 38.85 28.15 67 No 30.15 21.85 52 Total 69 50 119 Chi square=(fo-fe)^2/fe walking symptoms Bedtime sym. Yes No Total Yes 0.381 0.526 0.907 No 0.491 0.678 1.169 Total 0.873 1.204 2.077

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