As part of the study on ongoing fright symptoms due to exposure to horror movies
ID: 3359122 • Letter: A
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.)
1 %
(b) What percent of the students have both waking-life and bedtime symptoms? (Round your answer to two decimal places.)
2 %
(c) Test whether there is an association between waking-life and bedtime symptoms. State the null and alternative hypotheses. (Use = 0.01.)
Null Hypothesis:
H0: There is no relationship between waking and bedtime symptoms.H0: Bedtime symptoms cause waking symptoms. H0: Waking symptoms cause bedtime symptoms.H0: There is a relationship between waking and bedtime symptoms.
Alternative Hypothesis:
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.)
Conclusion:
We have enough evidence to conclude that there is a relationship.We do not have enough evidence to conclude that there is a relationship.
Wakingsymptoms Bedtime symptoms Yes No Yes 36 34 No 32 17
Explanation / Answer
The Obswerved and expected tables are as below. Each Value of the expected cell = Row Total*Column Total/N. N = 119.
(a) What percent of the students have lasting waking-life symptoms? There are 68 students out of 119 who exhibit this symptom (36+32). The % = (68/119) * 100 = 57.14%
(b) What percent of the students have both waking-life and bedtime symptoms? There are 36 students in this category out of 119. The % = (36/119) * 100 = 30.25%
(c) The Hypothesis:
H0: There is no relationship between waking and bedtime symptoms.
Ha: There is a relationship between waking and bedtime symptoms.
The Test Statistic: The table below gives the calculation of 2.
2test = 2.267
The degrees of freedom for a 2 x 2 table = 1
The P value for 2test = 2.267, df = 1 is 0.132
The 2critical value for = 0.01, df = 1 is 6.635
Decision Rule: If 2test is > 2critical, then Reject H0.
Decision: Since 2observed (2.267) is < 2critical (6.635), we fail to reject H0.
Conclusion: We do not have enough evidence to conclude that there is a relationship.
Observed Yes No Total Yes 36 34 70 No 32 17 49 Total 68 51 119 Expected Yes No Total Yes 40.00 30.00 70 No 28.00 21.00 49 Total 68 51 119Related Questions
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