2. A teacher wants to know whether the number of student absences predicts exam scores. The data are presented below. Student Number of Absences Exam Grade 85 70 4 3 88 6. 80 71 92 a Specify the research hypothesis and the null hypothesis in words. hesearch, If students have less absences they will recie higher grades. Nulli Exam Scores are affected by exams 531 1234 S6
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- You conduct a hypothesis test and find that your data are statistically significant at alpha = 0.03. What may you conclude? A. The data would also be significant at alpha = 0.02. B. The data would also be significant at alpha = 0.05. C. Both A and B are true. D. Neither A nor B is true.Question 1-Part 1 Use a 1% level of significance to test the claim that ρ < 0 (i) What are the null and alternative hypotheses? a.) H0: ρ = 0 and H1: ρ < 0 b.) H0: ρ = 0 and H1: ρ > 0 c.) H0: ρ < 0 and H1: ρ > 0 d.) H0: ρ > 0 and H1: ρ < 0 Part 2 (ii) Use a 1% level of significance to test the claim that ρ < 0 and what is the t-statistic? a.) -7.03 (d.f.=5) b.) -10.07 (d.f.=6) c.) -10.07 (d.f.=5) d.) -7.03 (d.f.=6) Part 3 (iii) Use a 1% level of significance to test the claim that ρ < 0 and what is the p-value? a.) .0005 < p-value < .005 b.) p-value < .0005 c.) .010 < p-value < .025 d.) .005 < p-value < .010 Part 4 (iv) Use a 1% level of significance to test the claim that ρ < 0 and what is your conclusion based on the p-value? a.) At the 1% level of significance, we reject the null hypothesis. We have enough evidence to conclude that the population correlation coefficient between the depth of dive and the optimal time is negative.…Problem Set #6 due on 11/1/2020 1. Under what conditions would a researcher choose to use a t-test for independent samples? 2. A researcher is testing a two-tailed null hypothesis at the p < .01 level with df = 48. What critical value would she or he use? Justify your answer. 3. A researcher is testing a two-tailed null hypothesis at the p < .01 level with df = 45. What critical value would she or he use? Justify your answer. 4. What is the simplest way to compute an effect size? 5. If the number of participants in Group 1 = 54 and the number in Group 2 = 58, what is the associated degrees of freedom? 6. If the obtained t value is 7.14, and the critical value is 6.10, what decision should be made? 7. What does the number 58 represent in the following: t(58) = 2.001, p < 0.05? 8. What does the number 0.05 represent in the following: t(58) = 2.001, p < 0.05? 9.…
- Which is not a step in hypothesis testing? A. Determine or establish alpha B. Determine or establish beta C. Calulate or look up the critical value(s) D. Calculate the test statistic E. All of the above F. None of the aboveThe quality inspector of a certain factory states that 3% of outgoing products have major defects. A sample of 200 products have 5 defective products. Is there strong evidence that the statement of the quality inspector is true? Use ?=0.05 Find the: Parameter of interest: ? Null hypothesis: ? Alternative hypothesis: ? Test statistic: ? Reject H0 if: ? Computations: ? Conclusion: ?R/ Question 3 A humane society claims that less than 70% of households in a certain country own a pet. In a random sample of 400 households in that country, 268 say they own a pet. At α=0.10 is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H0 and Ha. (b) Identify the standardized test statistic first then use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.
- A scientist studying local lakes claims that there is a linear relationship between a lake’s level of mercury and the lake’s depth. The scientist collected data to test the claim at a significance level of α=0.01. The following hypotheses were tested. H0:β1=0Ha:β1≠0 The test yielded a t-value of 2.7 and a p-value of 0.012. Which of the following is a correct conclusion about the scientist’s claim? The null hypothesis is rejected since 0.012>0.01. There is sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth. A The null hypothesis is not rejected since 0.012>0.01. There is sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth. B The null hypothesis is rejected since 0.012>0.01. There is not sufficient evidence to suggest that there is a linear relationship between a lake’s level of mercury and the lake’s depth.…Setting a smaller alpha level means: A) No answer text provided. B)The acceptance region becomes smaller C) The value of the critical region becomes more positive/negative D) The p value should be large enough to reject the null hypothesisDr. Chapman conducted an experiment in which participants watched paint dry for 30 minutes twice, once being paid $1 and once being paid $30. When comparing the samples, he calculated t = 3.57. He assumed α = .01 with df = 5, so the tcv = ±4.032. Because the calculated value was: A. greater than the critical value, Dr. Chapman can reject the null hypothesis. B. greater than the critical value, Dr. Chapman failed to reject the null hypothesis. C. less than the critical value, Dr. Chapman failed to reject the null hypothesis. D. less than the critical value, Dr. Chapman can reject the null hypothesis.
- Question 16 Match the p-values with the appropriate conclusion: I. 0.00001 II. 0.0297 III. 0.0721 IV. 0.4490(a) The evidence against the null hypothesis is significant, but only at the 10% level. (b) The evidence against the null and in favor of the alternative is very strong. (c) There is not enough evidence to reject the null hypothesis, even at the 10% level. (d) The result is significant at a 5% level but not at a 1% level.a hypothesis test produces a t statistic of t=2.3. if the researcher is using a two tailed test with a=0.05 how large does the sample have to bw in order to reject the null hypothesis?(a) Write the claim mathematically and identify Upper H 0 and Upper H 1 (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic. (d) Decide whether to reject or fail to reject the null hypothesis. In a sample of 1719 home buyers, you find that 706 home buyers found their real estate agent through a friend. At alpha=0.08, can you reject the claim that 42% of home buyers find their real estate agent through a friend? (a) Which of the following correctly states Upper H 0 and Upper H 1? (b) What is (are) the critical value(s) z 0 ? z 0= (Use a comma to separate answers as needed. Round to two decimal places as needed.) (c) Which of the following graphs has the rejection region(s) shaded correctly? (D) What is the standardized test statistic? z= (Round to two decimal places as needed.) (E) Which of the following is the correct conclusion for the test? A. Fail to reject Upper H 0. There is…