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Headaches: A physical therapist suggests that spinal manipulation help to reduce the lengths of time patients suffer from headaches. The table shows the number of

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Headaches: A physical therapist suggests that spinal manipulation help to reduce the lengths of time patients suffer from headaches. The table shows the number of hours per day a sample of 11 patients suffered from headaches before and after 7 weeks of receiving treatment. At a = 0.01, is there enough evidence to support the therapist's claim that spinal manipulation helps reduce the number of hours patients suffered from headaches? (Adapted from The Journal of the American Medical Association) Patient 1 2 3 4 5 16 7 18 19 10 11 Hours 2.8 2.4 2.8 2.6 2.7 2.9 3.2 2.9 4.1 (before) 1.6 2.5 Hours 1.6 1.3 1.6 1.4 1.5 1.6 (After) 1.7 1.6 1.8 1.2 1.8 1.) Identify the null and alternative hypotheses. Enter =, , or "not equal" for # Ho: Pd H1: Hd 2.). Find the test statistic: Test Statistic = (Round to two decimal places) 3.) Find the p-value: p-value = (Round to four decimal places) 4.) State the decision about the null hypothesis. (Type Reject or Fail to Reject in the answer box.) Ho 5.) Conclusion: There sufficient evidence to support tthe therapist's claim that spinal manipulation helps reduce the number of hours patients suffered from headaches. (Type is or

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