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APPENDIX TABLE LINK : https://www.webassign.net/mendstat15/mendstat15_appendix_tables.pdf

Q14A

Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your last submission is used for your score. 1. [-/2 Points] MendStat15 14.R.001.S. To see whether a new floor polish A was superior to those produced by four competitors, B, C, D, and E, a manufacturer asked a sample of 100 housekeepers to view five identical patches of flooring that had received the five polishes. Each indicated the patch that he or she considered superior in appearance, with the results shown in the table. Polish ABCDE Frequency 28 18 16 23 15 LA USE SALT Do these data present sufficient evidence to indicate a preference for one or more of the polished patches of floor over the others? (Use a = 0.05.) State the null and alternative hypotheses. Ho: At least one p; is different from 0. Ha: p1 = p2 = p3 = p4 = p5 = 0 Ho: P1 = p2 = p3 = p4 = p5 = 0 Ha: At least one pi is different from 0. C Ho: p1 = p2 = p3 = p4 = p5 = Ha: At least one pi is different from UC Ho: P1 = p2 = p3 = p4 = P5 = 1 Ha: At least one pi is different from 1. C Ho: At least one pi is different from U - Ha: p1 = p2 = p3 = p4 = ps = 1 5 Find the test statistic. X2 = What can be said about the p-value? p-value 0.100 State your conclusion. Since the p-value is greater than 0.05, Ho is rejected. There is insufficient evidence to conclude that there is a difference in the preference for the five floor polishes. Since the p- value is less than 0.05, Ho is rejected. There is sufficient evidence to conclude that there is a difference in the preference for the five floor polishes. C Since the p-value is greater than 0.05, Ho is not rejected. There is insufficient evidence to conclude that there is a difference in the preference for the five floor polishes. Since the p-value is less than 0.05, Ho is not rejected. There is sufficient evidence to conclude that there is a difference in the preference for the five floor polishes. If one were to reject the hypothesis of no preference for this experiment, would this imply that polish A is superior to the others? Yes, since the conclusion would be that all of the values of the p; are significantly different from which implies that polish A is greater than U -Yes, since the conclusion would be that at least one of the values of the pi was significantly different from and polish A has the highest frequency. . Yes, since the conclusion would be that at least one of the values of the pi was significantly different from U - which implies that polish A is greater than U - No, since the conclusion would be that all of the values of the pi are significantly different from UI but this does not imply that polish A is necessarily greater than No, since the conclusion would be that at least one of the values of the pi was significantly different from but this does not imply that polish A is necessarily greater than U Can you suggest a better way of conducting the experiment? You may need to use the appropriate appendix table to answer this question.2. [-/2 Points] MendStat15 14.R.002. To investigate the effect of general hospital experience on the attitudes of physicians toward Medicare patients, a random sample of 50 physicians who had just completed 4 weeks of service in a general hospital were surveyed, generating the data in the table. Concern After Concern Before High Low Total Low 26 5 31 High 10 9 19 Chi-Square Test Chi-Square DF P-Value Pearson 5.702 0.017 Likelihood Ratio 5.617 1 0.018 Do the data provide sufficient evidence to indicate an association between the level of concern after general hospital experience and the level of concern before? (Use a = 0.05. Use the exact values found in the MINITAB output.) State the null and alternative hypotheses. Ho: Level of concern after is independent of level of concern before. Ha: Level of concern after is dependent of level of concern before. Ho: Level of concern after is independent of level of concern before. Ha: Level of concern after is linearly related to level of concern before. C Ho: Level of concern after is linearly related to level of concern before. Ha: Level of concern after is independent of level of concern before. Ho: The physicians and Medicare patients have the same concerns. Ha: The physicians and Medicare patients have different concerns. "Ho: Level of concern after is dependent of level of concern before. Ha: Level of concern after is independent of level of concern before. State the test statistic. X2 = State the p-value. p-value = 1 State the conclusion. Ho is rejected. There is insufficient evidence to indicate the level of concern after is dependent on the level of concern before. Ho is rejected. There is sufficient evidence to indicate the level of concern after is dependent on the level of concern before. Ho is not rejected. There is insufficient evidence to indicate the level of concern after is dependent on thelevel of concern before. Ho IS not rejected. There is sufcrent ev1dence to mdlcate the level of concern after is dependent on the level of concern before. Do the data suggest a change in "concern" after the general hospital experience? If so, describe the nature of the change. in A large proportion of physicians appear to change their level of concern from high to low after general hospital experience. r A small proportion of physicians appear to change their level of concern from high to low after general hospital experience. r A large proportion of physicians appear to change their level of concern 'om low to high after general hospital experience. r A small proportion of physicians appear to change their level of concern from low to high after general hospital experience. r The physicians' level of concern stayed the same after general hospital experience. You may need to use the appropriate appendix table or technology to answer this question. 3. [12 Points] MendStatlS 14.R.003.S. Two biology instructors set out to evaluate the effects of discovery-based teaching compared to the standard lecture-based teaching approach in the laboratory. The discovery-based approach asked questions rather than providing directions, and used small group reports to decide the best way to proceed in reaching the laboratory objective. At the end of the course, students provided evaluations as is given in the following table. Positive Negative Group Evaluations Evaluations Total Discovery 38 10 48 Control 33 15 48 IE USE SALT (a) Is there a signicant difference in the proportion of positive responses for each of the teaching methods? Use a: = 0.05. State the null and alternative hypotheses. (II. H0: Evaluation and teaching approach are independent. Ha: Evaluation and teaching approach are linearly related. r' Ho: Evaluation and teaching approach are linearly related. Ha: Evaluation and teaching approach are independent. r Ho: The proportion of positive evaluations is not the same for the two teaching approaches. . . . . . . 1\" H..: The proportion of posrtive evaluations is the same for the two teaching approaches. Ho: The numbers of positive and negative evaluations are equal. Ha: The numbers of positive and negative evaluations are not equal. Ho: The proportion of positive evaluations is the same for the two teaching approaches. Ha: The proportion of positive evaluations is not the same for the two teaching approaches. Find the test statistic. (Round your answer to two decimal places.) X2 = Find the rejection region. (Round your answer to two decimal places.) X2 > State your conclusion. C Ho is rejected. There is sufficient evidence to conclude that there is a difference in the proportion of positive responses for each teaching method. Ho is rejected. There is insufficient evidence to conclude that there is a difference in the proportion of positive responses for each teaching method. Ho is not rejected. There is insufficient evidence to conclude that there is a difference in the proportion of positive responses for each teaching method." Ho is not rejected. There is sufficient evidence to conclude that there is a difference in the proportion of positive responses for each teaching method. If there is a significant difference, how would you describe this difference? There is a significantly higher proportion of positive evaluations in the control group than in the discovery group. There is no significant difference. There is a significantly higher proportion of positive evaluations in the discovery group than in the control group. There is a significantly higher proportion of negative evaluations in the control group than in the discovery group. There is a significantly higher proportion of negative evaluations in the discovery group than in the control group. (b) What is the approximate p-value for the test in part (a)? p-value 0.100 You may need to use the appropriate appendix table to answer this question. 4. [-/2 Points] MendStat15 14.R.007.S. How confident are you that the food you purchase is safe to eat? This question was asked in a poll. The data that follow reflect the results of the responses to this poll. Very Somewhat Not Too Not at All Confident Confident Confident Confident Total Men 211 242 69 6 528 Women 130 307 74 17 528 Total 341 549 143 23 1,056LA USE SALT (a) Is there sufficient evidence to conclude that there are significant differences in responses between men and women at the a = 0.05 level of significance? State the null and alternative hypotheses. C Ho: Poll responses and gender are independent. Ha: Poll responses and gender are dependent. Ho: Poll responses and gender are independent. Ha: Poll responses and gender are linearly related. Ho: The responses for men and women are equal. Ha: The responses for men and women are not equal. Ho: Poll responses and gender are linearly related. Ha: Poll responses and gender are independent. Ho: Poll responses for men and women are dependent. Ha: Poll responses for men and women are independent. Find the test statistic. (Round your answer to two decimal places.) X2 = Find the rejection region. (Round your answer to two decimal places.) X 2 > State your conclusion. Ho is rejected. There is insufficient evidence to indicate significant differences among responses between men and women. Ho is not rejected. There is sufficient evidence to indicate significant differences among responses between men and women. Ho is rejected. There is sufficient evidence to indicate significant differences among responses between men and women. Ho is not rejected. There is insufficient evidence to indicate significant differences among responses between men and women. (b What can be said about the p-value for the test? C p-value 0.100 You may need to use the appropriate appendix table to answer this question. 5. [-/2 Points] MendStat15 14.R.008. No matter the make or model of a new vehicle, white and silver/gray continue to make the top five or six colors across all categories. The top six colors and their percentage of the market share for compact/sports cars are shown in the following table