It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if: a. a two-tailed test is used b. a one-tailed test is used c. both of the previous statements are true d none cof the previous statements is true
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- We have created a 95% confidence interval for μ with the result (148, 196). What conclusion will we make if we test H0: μ = 190 vs. Ha:μ ≠ 190 at α = 5%? A. Reject the alternative hypothesis B. Reject the null hypothesis C. Fail to reject the null hypothesis D. Type I error11. A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 581 randomly selected Americans surveyed, 404 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between and . b. If many groups of 581 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.A sample is used to obtain a 94% confidence interval for the mean of a population as (70, 74). If the same sample had been used to test the null hypothesis that the mean of the population is equal to 75 versus the alternative hypothesis that the mean of the population differs from 75, which one of the following statements is true? a. the null hypothesis could not be rejected at a level of significance of 0.10. b. the null hypothesis could be rejected at a level of significance of 0.02. c. the null hypothesis could be accepted at a level of significance of 0.01. d. the null hypothesis could not be rejected at a level of significance of 0.06. e. None of the suggested answers are correct
- 2/12 The confidence interval has a lower pound of_and an upper bound of_. Use ascending order. Round to two decimal places as needed.1. Does the data provide convincing evidence that the true mean body temperature in all healthy 18-40 year-olds is not 98.6 F? 2. A 95% confidence interval for the population mean is 98.123 F to 98.377 F. Explain how the confidence interval is consistent with, but gives more information than, the significance test in the previous question.1.a .Find the lower limit of a confidence interval if the mean is twenty-one percent, and the margin-of-error is 0.036.(Express answer as decimal number to 3 places.) lower limit = b.A random sample of 334 college students showed that 160 were employed at least part-time. Find a point estimate for the proportion of students employed at least part-time. (Use 3 decimal places.)
- An avid birdwatcher wants to know if the number of goslings per goose in his lake differs from the regional average of 2.58. He takes a random sample of geese, conducts a hypothesis test of H0: μ = 2.58 vs.Ha: μ ≠ 2.58, and obtains a p-value of 0.013. (a) What should you expect of a 95% confidence interval constructed from his data? ---- The interval should contain 2.58 The interval should not contain 2.58 The interval should contain 0 The interval should not contain 0 We cannot say anything about the interval because ---- the p-value is not less than the corresponding alpha. the p-value is less than the corresponding alpha. we cannot make a conclusion about a confidence interval just from a hypothesis test. . (b) Given his sample size what 74, what critical value would the birdwatcher use to make the 95% confidence interval? (3 decimal places)(c) The birdwatcher's friend says his geese have an average of 3.88 goslings, and the birdwatcher wants to know if that would be a reasonable…From a large number of actuarial exam scores, a random sample of 275 scores is selected, and it is found that 206 of these 275 are passing scores. Based on this sample, find a 90% confidence interval for the proportion of all scores that are passing. Then complete the table below. Carry the intermediate computations to at least three decimal places. Round the answers to two decimal places. (a) What is the lower limit of the 90% confidence interval? (b) What is the upper limit of the 90% confidence interval?A metallurgist makes several measurements of the melting temperature of a certain alloy and computes a 95% confidence interval to be 2038±2°C. Assume the measuring process for temperature is unbiased. True or false: a) There is 95% probability that the true melting temperature is in the interval 2038 ± 2°C. b) If the experiment were repeated, the probability is 95% that the mean measurement from that experiment would be in the interval 2038 ± 2°C. c) If the experiment were repeated, and a 95% confidence interval computed, there is 95% probability that the confidence interval would cover the true melting point. d) If one more measurement were made, the probability is 95% that it would be in the interval 2038 ± 2°C.
- Suppose a 95% confidence interval for the proportion of Americans who exercise regularly is 0.29 to 0.37. Which one of the following statements is FALSE? Select one: a. It is reasonable to say that fewer than 40% of Americans exercise regularly. b. The hypothesis that 33% of Americans exercise regularly cannot be rejected. c. It is reasonable to say that more than 25% of Americans exercise regularly. d. It is reasonable to say that more than 40% of Americans exercise regularly.3. If the 95% confidence interval for a parameter μ is (3.1,5.1) and the 99% confidence interval for μ is(2.8,5.4). One wants to test the hypotheses H0: μ = 3 v.s. Ha: μ 6= 3.(a) Will H0: μ = 3 be rejected at significance level α = 0.05? Why or why not?(b) Will H0: μ = 3 be rejected at significance level α = 0.01? Why or why not?A researcher is interested in estimating the proportion of voters who favor a tax on e-commerce. ) ___________. Based on a sample of 250 people, she obtains the following 99% confidence interval for the population proportion, p: 0.113 < p < 0.171. Which of the statements below is a valid interpretation of this confidence interval? There is a 99% chance that the true value of implies between 0.113 and 0.171. If 100 different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, exactly 99 of these confidence intervals would contain the true value of p. If many different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, in the long run 99% of the confidence intervals would contain the true value of p. If many different samples of size 250 were selected and, based on each sample, a confidence intervaL were constructed, 99% of the time the true value of p would lie…