An automobile mileage study tested the following hypotheses. Hypothesis Conclusion Ho: 4 2 25 mpg Manufacturer's claim supported Hạ: µ < 25 mpg Manufacturer's claim rejected; average mileage per gallon less than stated For o = 3 and a .02 level of significance, what sample size would be recommended if the researcher wants an 80% chance of detecting that u is less than 25 miles per gallon when it is actually 24 (to the next whole number)?
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- The recidivism rate for convicted sex offenders is 12%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 322 convicted sex offenders who were also drug addicts, 48 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion V b. The null and alternative hypotheses would be: Ho: ? v Select an answer (please enter a decimal) H1: ? v Select an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? V a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 12% at a = 0.01, so there is statistically insignificant evidence to conclude that the population proportion of…An automobile mileage study tested the following hypotheses. Hypothesis Conclusion Ho: u > 25 mpg Hạ: H < 25 mpg Manufacturer's claim supported Manufacturer's claim rejected; average mileage per gallon less than stated For o = 3 and a .02 level of significance, what sample size would be recommended if the researcher wants an 80% chance of detecting that u is less than 25 miles per gallon when it is actually 24 (to the next whole number)?The recidivism rate for convicted sex offenders is 16%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 304 convicted sex offenders who were also drug addicts, 55 of them became repeat offenders. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use z-test for a population proportion v b. The null and alternative hypotheses would be: Но: | ру 0.16 (please enter a decimal) %3D = o 0.16 H1: p v (Please enter a decimal) c. The test statistic z v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is > v f. Based on this, we should fail to reject the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly higher than 16% at a = 0.10, so there is statistically significant evidence to conclude that the population proportion of convicted sex offender drug addicts who…
- Let's say we want to explore whether female smoking influences the weight of newborns. After collecting some data, we have the following two sets of samples: Non-smoker Smoker Мean 7.18 6.78 St. dev Sample size 1.60 1.43 100 50 a) Find the t-score for the hypothesis Ho: H1 = H2 and Ha: H1 # H2 Assuming an a-level of 0.05, can we fail to reject Ho? What does this result mean in words? b) Find the t-score for the hypothesis Ho: 4 = 8 and Ha:4 # 8 Assuming an a-level of 0.05, can we fail to reject Ho? What does this result mean in words? MacBook Pro go0 000 DII F2 F3 F4 F5 F6 F7 FII #3 $ 3 4. 6. 7. 8. 9. 5A pizza delivery driver recently complained that the college students he delivers to don't tip as much other adults. Test this complaint at the a 0.05 level of significance. Let uc represent the average tip left by a college student and 4o represent the average tip left by other adults. Which would be correct hypotheses for this test? Ho: Hc = Ho, H1: c > Ho Ho: 4c = Ho, H: Hc < Ho %3D OHo: Hc = Ho, H1 : µc # µ0 %3D OHo:Hc < Ho, H1: Hc = HO A random sample of 42 college students had left an average tip of $3.44, with a standard deviation of $1.03. A random sample of 30 non-college-student adults had left an average tip of $4.32, with a standard deviation of $0.92. Find the test statistic (2 decimal places): Give the P-value (4 decimal places - if less than 0.001 answer 0): Which is the correct result: O Do not Reject the Null Hypothesis O Reject the Null Hypothesis Which would be the appropriate conclusion? There is significant evidence to suggest that college students tip less, on…Answer the given problem. Use the steps in hypothesis testing when presenting the results. A health researcher is interested in comparing 3 methods of weight loss: low calorie diet, low fat diet and high exercise regimen. He selected 15 moderately overweight subjects and randomly assigned 5 to each weight-loss program. The following weight reductions (in lbs) were observed after a one-month period. Test the hypothesis that the extent of weight reduction does not differ by type of weight-loss program. Low Fat : 7 7 5 4 6 Low Calorie : 7 8 8 9 5 High Exercise Regimen : 7 9 7 8 8
- E mw According to a recent poll 57% of Americans would vote for stricter gun controls. If a random sample of 100 people results in 68 individuals who would vote for stricter gun control, test the null hypothesis tha the actual percentage is 57%. As The null and alternative hypotheses are: Ho: p = 0.57 versus Ha: p > 0.57. The lowest level of significance to reject the null hypothesis is: OA: 0.06 OB: 0.04 OC: 0.09 OD: 0.02 OE: 0.03Is the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 452 of the 567 randomly selected wildfires looked at in the south were caused by humans while 405 of the 561 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the a = 0.10 level of significance? 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) Select an answer Select an answer Hj: Select an answer Select an answer Select an answer (Please enter a decimal) c. The test statistic ? (please show your answer to 3 decimal places.) d. The p-value = |(Please show your answer to 4 decimal places.) e. The p-value is ? Va f. Based on this, we should Select an answer ] the null hypothesis. g. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.10, so there is sufficient evidence to…Casey is a statistics student who is conducting a one-sample z‑test for a population proportion p using a significance level of a=. Her null (H0) and alternative (Ha) hypotheses are H0:p=0.094Ha:p≠0.094 The standardized test statistic is z = 1.40. What is the P-value of the test? P-value =