(a) Write the appropriate hypotheses. (b) Check the necessary assumptions. (c) Perform a test withα= 0.1, showing all steps, and report the p-value.
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When drilling for oil in west Texas, about33%of the pilot holes find exploitable oil resources. A local high school student claims that she has built a device that is better at finding oil reserves than the commonly used technology. She reports finding15exploitable wells on 33 pilot holes. What do you conclude about her claim? Explain your answers in all cases.
(a) Write the appropriate hypotheses.
(b) Check the necessary assumptions.
(c) Perform a test withα= 0.1, showing all steps, and report the p-value.
(d) Explain what the p-value means in this context.
(e) Would you invest in the device she created? Explain your reasoning.
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- 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 > 150053% of students entering four year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 158 of the 259 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a 0.05? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: (please enter a decimal) Please enter a decimal) c. The test statistic (please show your answer to 3 decimal places.) d. The p-value- e. The p-value is ? (Please show your answer to 4 decimal places.) a Based on this, we should Select an answer g. Thus, the final conclusion is that the null hypothesis The data suggest the populaton proportion is significantly larger than 53% at dr-005, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is larger than 53% The data suggest the population…
- Carpetland 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…Robert, a starting player for a major college basketball team, made only 38.4% of his free-throws in previous seasons. During the summer, he worked on developing a softer shot in hopes of improving his free throw accuracy. In the first eight games of the season, Robert made 25 free throws of 40 (or 62.5%). We wish to test if the practice helped. Which of the following are the appropriate null and alternative hypotheses, letting p denote his new free-throw shooting probability The null hypothesis is H0: ["", "", "", ""] The alternative hypothesis is Ha:#11). Both pictures are the same question. Need help with it.
- You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 74% at a level of significance of = 0.01. According to your sample, 51 out of 62 potential voters prefer the Democratic candidate. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?> Select an answer (please enter a decimal) H₁ Select an answer (Please enter a decimal) c. The test statistic? = your answer to 3 decimal places.) d. The p-value = to 4 decimal places.) e. The p-value is ? ✰ a (please show (Please show your answer f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 74% at a = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 74%. The data suggest the population proportion is not…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<0.717You 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 a University Center for Logistics Management, 18% of all merchandise sold in the United States gets returned. A San Francisco department store sampled 100 items sold in January and found that 19 of the items were returned.If you have the following null and alternative hypotheses for a test you are running:H0:p=0.18Ha:p≠0.18Calculate the test statistic, rounded to 3 decimal placesThe Statistics Games are played by a large number of students across the county. Last year, 32% of Clayton State students participated in the Games. You wonder: “Has the proportion increased this year?”. To find out, you take a random sample of 250 CSU students and ask them if they participated in the Games this year. You find that 38% did. Write the null and alternate hypotheses. A Ho: μ = 0.32 Ha: μ < 0.32 B Ho: μ = 0.32 Ha: μ ≠ 0.32 C Ho: p = 0.32 Ha: p > 0.32 D Ho: p = 0.32 Ha: p < 0.32 E Ho: p = 0.38 Ha: p > 0.38A research center claims that. least 31% of adults in a certain country think that their taxes will be audited. In a random sample of 900 adults in that country in a recent year, 26% say they are concerned that their taxes will be audited. At a = 0.05, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and H. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. Less than % of adults in the country think that their taxes will be audited. O B. % of adults in the country think that their taxes will be audited. C C. At least 31 % of adults in the country think that their taxes will be audited. O D. The percentage of adults in the country who think that their taxes will be audited is not % Let p be the population proportion of successes, where a success is an adult in the country who thinks that…