Is there any significant evidence that the the alternative hypothesis is true?
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- A simple random sample of front-seat occupants involved in car crashes was obtained. Among 7,000 occupants not wearing seat belts, 18were killed. Among 7765 occupants wearing seat belts, 16 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities using the critical value approach. a) Define parameters and state null and alternative hypothesis. b)Test statistics c) P-value d) ConclusionA student-researcher claims that the difference between the proportion of male athletes and that of female athletes in a certain university who live in Makati is far from 7.25%. 285 male athletes have been selected at random, and 113 of them reside in Makati. On the other hand, 171 female athletes have been chosen as samples, and 67 of them are from Makati as well. At alpha = 0.01, is there sufficient evidence to support the student-researcher’s claim? (Critical value approach)It is desired to test the claim that a steady diet of wolfbane will cause a lycanthrope (werewolf) to lose 10 lbs. over 5 months. A random sample of 56 lycanthropes was taken yielding an average weight loss over 5 months of 12.5 pounds, with S = 7 lbs. Identify the critical value suitable for conducting a two-tail test of the hypothesis at the 5% level.
- A random sample of 10 secretaries was asked to type a certain memorandum using both computers and typewriters, and the time required to finish the task was recorded for each secretary. A test of hypothesis will be conducted to determine if there is enough evidence to conclude that the average time required to type a certain memorandum is faster if female secretaries are using computers rather than typewriters using a 5% level of significance. What are the critical value(s) that will be used in the conduct of the above test of hypothese a)1.812 b)2.262 c)1.8331 d)1.960 I know the options B and D are wrong but I cant get the correct answer. I need help in solving to the right optionA manufacturer is developing a nickel-metal hydride battery to be used in cellular telephones instead of a nickel-cadmium battery. The director of quality control decides to evaluate the newly developed battery by picking a random sample of employees with cellular phones and asking them to use both phones until the batteries run down. The results are given in the excel data file. At the 5% level of significance is there evidence that the new battery provides more minutes of talk time per battery charge? Show your work and give your answer in complete sentences in context of the problem. Data Table: Person Old Battery Type New Battery Type 1 72.39 89.95 2 75.25 64.60 3 82.10 71.25 4 58.98 87.07 5 67.07 103.11 6 35.98 76.46 7 75.37 83.92 8 66.00 83.42 9 73.14 84.30 10 67.14 92.48 11 83.06 93.48 12 57.00 59.11 13 65.92 92.27 14 76.12 61.81 15 85.21 72.83 16 80.73 42.17 17 60.65 83.89 18 36.63 94.41 19 77.98 70.30 20 75.40 77.72 21 84.70 84.35…Only 20% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 374 randomly selected registered voters surveyed, 71 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance? The p-value is ? ≤ > αα Based on this, we should Select an answer reject fail to reject accept the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly lower than 20% at αα = 0.01, so there is statistically insignificant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be lower than 20%. The data suggest the populaton proportion is significantly lower than 20% at αα = 0.01, so there is statistically significant evidence to conclude that the the percentage of all registered voters who will vote in the upcoming election will be lower than 20%. The data suggest the population…
- A researcher claims that the difference between the proportion of male athletes and that of female athletes in a certain university who live in osaka is far from 7.25%. 285 male athletes have been selected at random, and 113 of them reside in osaka. On the other hand, 171 female athletes have been chosen as samples, and 67 of them are from osaka as well. At alpha = 0.01, is there sufficient evidence to support the student-researcher’s claim? (use Critical value approach)A random sample of 100 male employees showed that 42 are working from home while a random sample of 100 female employees showed that 63 are working from home. Are the two population proportions equal? Test at alpha=0.05. What is Ho and Ha? And what is the test statistic value for this test? Based on the test statistic value, what is your decision?A comprehensive trial investigating the relationship between vitamin E supplementation and reduced risk for prostate cancer was carried out across the US. Suppose the trial reported that among the 648 patients receiving the supplement program, 267 developed prostate cancer, while only 212 of the 711 patients without the supplementation developed the disease. Carry out a formal test to determine if there is a significant difference in the risk for developing prostate cancer among the two groups. Write out your null and alternative hypotheses and use an alpha level of 0.05. Also, Comment on the effectiveness of the supplementation at reducing prostate cancer. What did you find relevant to the research hypothesis?
- Follow the steps in Test of Hypothesis including your conclusion and round off the critical value and test statistic into 4 decimal places Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measures in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12 while another random sample of 16 gears from the second supplier results in x2 = 321 and s2 = 22. Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength. Use a =0.04, and assume that both populations are normally distributed with equal variances.The owner of a fine-dining restaurant claims that at least 72% of their customers are giving huge amounts of tips after dining. A random sample of 470 customers have been observed, and 329 of them gave huge amounts of tips. At alpha = 0.02, is there sufficient evidence to support the owner’s claim? Use the critical-value approach.A company manufacturing computer chips finds that 8% of all chips manufactured are defective. Management is concerned that high employee turnover is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. If the P-value associated with the test statistic is 0.0594, At Alpha = 0.01, We can conclude that the additional training significantly lowered the defect rate We can conclude that the additional training did not significantly lower the defect rate We can conclude that the additional training significantly increased the defect rate We can conclude that the additional training did not affect the defect rate