In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.i need help with (c), sketching the distribution, (d) and (e) Sketch the sampling distribution and show the area corresponding to the P-value.baP-valueP-valuedP-valueP-value(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.(e) State your conclusion in the context of the application.O Fail to reject the null hypothesis, there is sufficient evidence to claim that the average number of flaked stone tools is higher.O Fail to reject the null hypothesis, there is insufficient evidence to claim that the average number of flaked stone tools is higher.O Reject the null hypothesis, there is sufficient evidence to claim that the average number of flaked stone tools is higher.O Reject the null hypothesis, there is insufficient evidence to claim that the average number of flaked stone tools is higher. In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and thereforeproduce a slightly more "conservative" answer.The artifact frequency for an excavation of a kiva in Bandelier National Monument gave the following information.StratumFlaked Stone ToolsNonflaked Stone Tools1921313546.383251308.2512Does this information indicate that there tend to be more flaked stone tools than nonflaked stone tools at this excavation site? Use a 5% level of significance. (Let d = flaked – nonflaked.)(a) What is the level of significance?State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?O Ho: H = 0; H,: H> 0; right-tailedO Ho: Hd = 0; H,: Hg# 0; two-tailedOHo: Hd> 0; H,: H= 0; right-tailedO Ho: Hd = 0; H: Hd < 0; left-tailed(b) What sampling distribution will you use? What assumptions are you making?O The Student's t. We assume that d has an approximately normal distribution.O The Student's t. We assume that d has an approximately uniform distribution.O The standard normal. We assume that d has an approximately uniform distribution.O The standard normal. We assume that d has an approximately normal distribution.What is the value of the sample test statistic? (Round your answer to three decimal places.)(C) Find (or estimate) the P-value.O P-value > 0.250O 0.125 < P-value < 0.250O 0.050 < P-value < 0.125O 0.025 < Pp-value < 0.050O 0.005 < P-value < 0.025O P-value < 0.005

Name: In this problem, assume that the distribution of differences is approx
Uploaded: 2024-03-20T07:07:12.000Z
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Description: In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-val