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: Waking symptoms Bedtime symptoms Yes 35 34 No 33 17
(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 α = 0.01.) Null Hypothesis:
H0: Bedtime symptoms cause waking symptoms.
H0: Waking symptoms cause bedtime symptoms.
H0: There is no relationship between waking and 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: Waking symptoms cause bedtime symptoms.
Ha: Bedtime symptoms cause waking symptoms.
Ha: There is no relationship between waking and bedtime symptoms.
State the χ2 statistic and the P-value. (Round your answers for χ2 and the P-value to three decimal places.) χ2 = df = P = Conclusion: We do not have enough evidence to conclude that there is a relationship. We have enough evidence to conclude that there is a relationship.
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