Paragraph 31.Aresearcher reports that there is a signifi difference between twot
ID: 3171201 • Letter: P
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Paragraph 31.Aresearcher reports that there is a signifi difference between twotreatments at the.os level of significance.This meansthat abwpothesis. 32.Aresearcher administers a treatment to a sample of n 25 participants and uses of z- 2.37. testto evaluate the effect of the treatment. The hypothesis test produces a z-score Assuming that the researcher is using a two-tailed test, 33 In a hypothesis test, a z-score value near zero summarizes the results of the hypothesis test bystating,"zs 2.13, pExplanation / Answer
31. Assume, the null and alternative hypotheses are as follows:
H0:mu1-mu2=0 (there is no difference in population mean outcome of two treatments)
H1:mu1=mu2=/=0 (there is difference in population mean outcome of two treatments)
It is said that there is significant difference between two treatments at 0.05 level of significance, which means p value of two-tailed test is lower than 0.05, and therefore, null hypothesis has been rejected.
32. The hypothesis test resulted into Z=2.37, which indicates a 1-proportion Z test has been employed.
Assume the hypotheses to be as follows:
H0:p=0.5 (there is no effect of the treatment)
H1:p=/=0.5 (the treatment is effective)
The z score is 2.37, and p value is 0.0177. Reject H0, if p value is less than assumed significance level, alpha=0.05. Here, p value is less than 0.05, reject H0, and conclude that the treatment is effective.
33. A Z score value near to 0, indicates a higher p value, therefore, reducing the chance of rejecting null hypothesis.
34. Per rejection rule, reject H0, if p value is less than 0.05. Therefore, the result indicates that null hypothesis has been rejected at alpha=0.05.
35. The critical region or region of rejection consists of area under the sampling distribution that include the unlikely sample outcomes. Here, it is said that treatment will increase scores, which implies the alternative hypothesis to be right-tailed. Therefore, for a right-tailed test the critical region is positive.
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