. State the null and alternative hypotheses of the following situations. 1. A nurses union claims that the average monthly salary for fresh graduate nurses in the region is 20,000, but some associations believe this is not true. Null hypotheses: Alternative hypotheses:
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A. State the null and alternative hypotheses of the following situations.
1. A nurses union claims that the average monthly salary for fresh graduate nurses in the region is 20,000, but some associations believe this is not true.
- Null hypotheses:
- Alternative hypotheses:
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- A study is conducted examining possible differences between types of cancer for blue collar, white collar, and unemployed workers. Samples of 100 blue collar, 100 white collar, and 100 unemployed workers currently being treated for cancer are obtained. The types of cancer are classified as either Lunch, Stomach, or Other. Occupation lung stomach other Blue collar 53 17 30 White collar 10 67 23 Unemployed 30 30 40 A. State the appropriate null and alternate hypotheses for this problem. B. Calculate the test statistics. (By hand) C. Determine the rejection region. D. State the conclusion.You may need to use the appropriate appendix table or technology to answer this question. Carl Allen and Norm Nixon are two loan officers at a certain bank. The bank manager is interested in comparing the default rate on the loans approved by Carl to the default rate on the loans approved by Norm. In the sample of loans collected, there are 70 loans approved by Carl (14 of which defaulted) and 80 loans approved by Norm (9 of which defaulted). (a) State the hypothesis test that the default rates are the same for the two loan officers. (Let p1 = the population proportion of Carl's loans that default, and let p2 = the population proportion of Norm's loans that default. Enter != for ≠ as needed.) H0: Ha: (b) What is the sample default proportion for Carl? What is the sample default proportion for Norm? (c) Use a 0.05 level of significance. Calculate the test statistic. (Use p1 − p2. Round your answer to two decimal places.) What is the p-value? (Round…The national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. OHO: H= 1500; HA: µ = 1500 Ho: H Duke National; HA: H Duke National Ho: x= 1500; HA: x > 1500 OHO: H = 1500; HA: > 1500 O Ho: P = 1500; HA: P > 1500
- Refer to the Bayer Aspirin problem: How would the alternate hypothesis be written symbolically if it read. "The population mean is less than 6.0"?The average life expectancy of tires produced by the Dunlop Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of their tires has increased. In order to test the validity of their belief, the correct set of hypotheses is O a. Ho: H > 40,000 Ha:H S 40,000 O b. Ho:H 2 40,000 HaiH 40,000 O d. Ho: H <40,000 H3:H 2 40,000Carpetland salespersons average $9,000 per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increases the average sales per salesperson. (a) Develop the appropriate null and alternative hypotheses. Ho: H = 9,000 Hai H # 9,000 Ο H0: μ> 9,000 Ha: uS 9,000 Ho: H 9,000 (b) What is the type I error in this situation? What are the consequences of making this error? O It would be concluding u 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales. O It would be concluding u 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help. (c) What is the type II error in this situation? What are the consequences of making this error? O It would be concluding u 9,000 when the plan does not increase…
- Let’s say Mrs. Smith was 72 inches tall, and her question was “Are my students, on average, shorter than I am?”. What would be the null and alternative hypotheses in this scenario? A. Ho: The population average height is less than 72”. Ha: The population average height is greater than or equal to 72”. B. Ho: The population average height is greater than or equal to 72”. Ha: The population average height is less than 72”. C. Ho: The population average height is less than or equal to 72”. Ha: The population average height is greater than 72”. D. Ho: The population average height is greater than 72”. Ha: The population average height is less than 72”.Late payment of medical claims can add to the cost of health care. Suppose 71.7% of the claims were paid in full when first submitted for one insurance company. The insurance company developed a new payment system in an effort to increase this percentage. A sample of 280 claims processed under this system revealed that 223 of the claims were paid in full when first submitted. Complete parts a and b below. a State the appropriate null and alternative hypotheses. Choose the correct answer below. OA. Ho p≤0.717 HA P>0.717 *** OC. Ho p=0.717 HA P#0717 OB. Ho: z≤0.717 HA: Z>0.717 O D. Ho: p20.717 HA: P<0.717As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. The sample data support the claim that the first population mean is less than the second population mean. There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.
- You may need to use the appropriate appendix table or technology to answer this question. Carl Allen and Norm Nixon are two loan officers at a certain bank. The bank manager is interested in comparing the default rate on the loans approved by Carl to the default rate on the loans approved by Norm. In the sample of loans collected, there are 70 loans approved by Carl (21 of which defaulted) and 80 loans approved by Norm (17 of which defaulted). (a) State the hypothesis test that the default rates are the same for the two loan officers. (Let p1 = the population proportion of Carl's loans that default, and let p2 = the population proportion of Norm's loans that default. Enter != for ≠ as needed.) H0: Ha: (b) What is the sample default proportion for Carl? What is the sample default proportion for Norm? (c) Use a 0.05 level of significance. Calculate the test statistic. (Use p1 − p2. Round your answer to two decimal places.) What is the p-value? (Round…According to the Centers of Disease Control, about 22% of American young people between the ages of 12 and 19 are obese.A student claims that the students in his local schools are in better shape than the national average, so their proportion of obese students is less than 22%. Which are the appropriate null and alternative hypotheses for this study? H0: p = 22%, HA: p < 22% H0: p ≠ 0, HA: p = 0 H0: p = 22%, HA: p > 22% H0: p = 22%, HA: p ≠ 22% Suppose that the result is to Fail to reject H0.Which is the proper conclusion? There is sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students. There is not enough information to answer this question. There is not sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students.According to the Centers of Disease Control, about 22% of American young people between the ages of 12 and 19 are obese.A student claims that the students his local schools are in better shape than the national average, so their proportion of obese students is less than 22%. Which are the appropriate null and alternative hypotheses for this study? H0: p = 22%, H1: p ≠ 22% H0: p ≠ 0, H1: p = 0 H0: p = 22%, H1: p < 22% H0: p = 22%, H1: p > 22% Suppose that the result of the statistical is to reject H0.Which is the proper conclusion? There is not sufficient evidence to conclude that the students at his local schools have a smaller true proportion of obese students. There is sufficient evidence to conclude that the students his local schools have a smaller true proportion of obese students. There is not sufficient evidence to conclude that the students at his local schools have a smaller sample proportion of obese students. There is sufficient evidence to conclude that the…
