Question

Complete the hypothesis test with alternative hypothesis Md < 0 based on the paired data that follow and d = M - N. Use a = 0.02. Assume normality. M 72 64 51 64 53 59 N 76 68 54 70 61 65 (a) Find t. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer correct to four decimal places.) (b) State the appropriate conclusion. O Reject the null hypothesis, there is significant evidence that d < 0. O Reject the null hypothesis, there is not significant evidence that Hd < 0. O Fail to reject the null hypothesis, there is significant evidence that up < 0. O Fail to reject the null hypothesis, there is not significant evidence that up <0. You may need to use the appropriate table in Appendix B to answer this question. Need Help? Read It Talk to a Tutor iment Progress

Answer 1

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"enlivo page solletion giren that terlel of signifcance 0.02 Mall and alternative hypothesis, Hoildo Vs Halldo where d-M-N N. (di-d) 2 0.0289 64 - 4 0.0289 - 3 S4 20 64 59 6) 2 1.3689 3.3489 4.7689 8.3489 & (d; -d]2= 12.8334 IT 59 rotal di = -25 J = Edi 11 - 25 -4.17 d =-4.17 Sa = cdi - 27² 12.8334 2.5667 1.6021 nal iSd = 1.6021 Test statsh: unders, Ho, t= -4.17 1.6021 -6.38 Sd/so 602% Go It= -6.88 Po value P(tk-6.38 20.0007 peralue 0.0007 conclusion: A). Reject the null hypothesis, evidence that elld to there is significant