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- Suppose that in a particular country there is substantial sex selection in favor of male fetuses: 57 percent of all babies born are male, which is much higher than the natural human rate of 51.2 percent male. For a random sample of 600 babies born, what is the POWER of the hypothesis test H0: p = 0.512 versus H1: p > 0.512 supposing that a 1 percent significance level is chosen (i.e. a high burden of proof)?#2.9 Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2026 passenger cars in a particular region, 218 had only rear license plates. Among 346 commercial trucks, 50 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.05 significance level to test that hypothesis.Test the claim using a hypothesis test. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate. Identify the test statistic. State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.Determine the critical value(s) for a one sample hypothesis test for proportions that has a two tailed alternative hypothesis and is using =0.02.
- Due to late delivery problems with an existing supplier, the director of procurement at ElectroTech began to place orders for electrical switches with a new supplier as part of a “dualsource” (two-supplier) strategy. Now she wants to revert to a “single-source” (i.e., one supplier) strategy to simplify purchasing activities. She wishes to conduct a test to infer whether the new supplier will continue to outperform the old supplier. Based on recent sample data, she found that 27 of 150 orders placed with the old supplier arrived late, whereas 6 of 75 orders placed with the new supplier arrived late. (You may find it useful to reference the appropriate table: z table or t table) a. Select the appropriate null and alternative hypotheses to test for whether the proportion of late deliveries with the new supplier is less than that of the old supplier.multiple choice 1 H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0 H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0 H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0…In 2002, NCHS reported that 75% of children age 2-17 saw a dentist in the past year. An investigator in Boston decided to assess the dental services for children in that area. A sample of 125 children age 2-17 were surveyed and 64 reported seeing a dentist. Assuming that the sample size is adequate, use the five-step hypothesis testing procedure to determine if there is a significant difference in the proportion of children living in Boston who use dental services as compared to the national proportion.The randomized block design takes advantage of blocks to: a. Perform post-hoc tests of group means b. Potentially control for confounding variables c. Test the differences in group means with differing sample sizes d. Test whether group means differ across blocks
- 1) In a study of red/green color blindness, 600 men and 2350 women are randomly selected and tested. Among the men, 53 have red/green color blindness. Among the women, 6 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness. The test statistic is: The p-value is: Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women using the 0.010.01% significance level?A. YesB. No2. Construct the 99% confidence interval for the difference between the color blindness rates of men and women. Blank <(p1−p2)< Blank Which of the following is the correct interpretation for your answer in part 2?A. There is a 99% chance that that the difference between the rates of red/green color blindness for men and women lies in the intervalB. We can be 99% confident that that the difference between the rates of red/green color blindness for men and women in the sample lies in the intervalC. We…In a nursing home study, the researchers found that 15 out of 34 randomly selected small nursing homes had a resident vaccination rate of less than 80%, while 17 out of 27 randomly selected large nursing homes had a resident vaccination rate of less than 80%. At a significance level of .05 test the claim that there is a lower proportion of small nursing homes with a resident vaccination rate of less than 80% than large nursing homes. Let small nursing homes be population 1. State the original claim in symbolic form State the null and alternative hypothesis in symbolic form Find the test statistic Find the critical value(s) State your conclusion. Reject or fail to reject the hypothesis.The p-value for a left-tail hypothesis test on μ is determined to be .17. Given the .05 level of significance, the null hypothesis a. could be rejected, depending on the sample size. b. should be rejected. c. has been designed incorrectly. d. should not be rejected.
- For a lower tail hypothesis test with a sample size of 13 and a .10 level of significance, the critical value of the test statistic t isAs a part of an industrial training program, some trainees are instructed by Method A, which isstraight teaching-machine instruction, and some are instructed by Method B, which also involvesthe personal attention of an instructor. Random samples of size 10 are taken from large groupsof trainees instructed by each of these two methods, and the scores they obtained in anappropriate achievement test are shown in Table 5. Use 0.05 level of significance to test the claimthat Method B is more effective. Assume that the populations sampled can be approximatedclosely with normal distribution having the same variance. Method A 71 75 65 69 73 66 68 71 74 68 Method B 72 77 84 78 69 70 77 73 65 75Since an instant replay system for tennis was introduced at a major tournament, men challenged 1407 referee calls, with the result that 425 of the calls were overturned. Women challenged 771 referee calls, and 213 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0 : p 1 equalsp 2 Upper H 1 : p 1 not equalsp 2 B. Upper H 0 : p 1 not equalsp 2 Upper H 1 : p 1 equalsp 2 C. Upper H 0 : p 1 greater than or equalsp 2 Upper H 1 : p 1 not equalsp 2 D. Upper H 0 : p 1…
