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In Problems 9–14, the null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested?
12.
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Chapter 10 Solutions
Fundamentals of Statistics Plus MyLab Statistics with Pearson eText - Title-Specific Access Card Package (5th Edition)
- The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn column of Parade magazine. Source: Parade magazine. You discover two booths at a carnival. Each is tended by an honest man with a pair of covered coin shakers. In each shaker is a single coin, and you are allowed to bet upon the chance that both coins in that booths shakers are heads after the man in the booth shakes them, does an inspection, and can tell you that at least one of the shakers contains a head. The difference is that the man in the first booth always looks inside both of his shakers, whereas the man in the second booth looks inside only one of the shakers. Where will you stand the best chance?arrow_forwardQ3. If the null hypothesis is not rejected when the null hypothesis is in error, what type of error, if any, has been made?arrow_forward2. Suppose a 95% CI for the proportion of adults that regularly attend a tae kwon do class at least once a week was found to be (0.2534, 0.3894). decision a. For the null and alternative hypothesis: Ho: p = 0.40 versus Ha: p # 0.40, what is for this test of hypothesis? your b. Based on the CI, which of the following statements gives the best conclusion about the true value of the proportion of adults that regularly attend a tae kwon do class at least once a week? i. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is greater than 40%. ii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is different than 40% iii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is less than 40% iv. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week equals…arrow_forward
- Question 5 (10 marks) a. Write the null and alternative hypothesis for the following and determine if it is a two-tailed, a left-tailed or a right-tailed test. i. A researcher is studying the effects of radical exercise program on knee surgery patients. There is a good chance the therapy will improve recovery time, but there's also the possibility it will make it worse. Average recovery times for knee surgery patients is 8.2 weeks. ii. Alumni group of a private institution wants to test if the college student, on the average, take less than 4 years to graduate.arrow_forwardEx 9. Suppose that a national survey finds that 73 percent of restaurant employees say that work stress has a negative impact on their personal lives. A random sample of 200 employees of a large restaurant chain finds that 141 employees say that work stress has a negative impact on their personal lives. a. Formulate the null and alternative hypotheses needed to attempt to provide evidence that the percentage of work-stressed employees for the restaurant chain differs from the national percentage. b. Use critical values to perform the hypothesis test by setting α equal to .10, .05, .01, and .001arrow_forwardoscar wants to estimate the proportion of bilingual children in spain. It has been claimed that the proportion is 0.08 but oscar wants to conduct a hypothesis test to show that the ratio is higher than that. She picks 200 children at the from 6 to 10 at random from the regid stry and investigates whether they are age bilingual or not. Out of these 200 children, 23 were in fact bilingual. What is the test statistic that oscar uses in her hypothesis test? 1. 0.91 2. 1.55 3. 1.82 4. 5.99 5. R-command:arrow_forward
- . A survey carried out by John claims that the average cost of living for households inCity 1 is more than that in City 2: City 1 City 2?̅̅1̅ = 164 ?̅̅2̅ = 159 ?1 = 12.50 ?2 = 9.25?1 = 35 ?2 = 30(a) Specify the competing hypotheses to test John's claimarrow_forward21a. Step 1: Which of the following is the correct set of hypotheses?A. H0: Cravings and relapse are not independent; and H1: Cravings and relapse are independent B. H0: Cravings and relapse are independent; and H1: Cravings and relapse are not independent C. H0: u1 = u2 = u3 = u4; and H1: At least one of the categories will be different than the others. 21b. Expected frequencies for: (round answers to 2 decimal places) Cravings-Yes/Relapse-Yes fe = _______ Cravings-Yes/Relapse-No fe = ________ 21c. Expected frequencies for: (round answers to 2 decimal place) Cravings-No/Relapse-Yes fe = _________ Cravings-No/Relapse-No fe = __________arrow_forwardA decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 71%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: 0 H: 0 Oarrow_forward20. Suppose a 95% CI for the proportion of adults that regularly attend a tae kwon do class at least once a week was found to be (0.2534, 0.3894). a. For the null and alternative hypothesis: Ho: p = 0.40 versus Ha: p # 0.40, what is your decision for this test of hypothesis? b. Based on the CI, which of the following statements gives the best conclusion about the true value of the proportion of adults that regularly attend a tae kwon do class at least once a week? i. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is greater than 40%. ii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is different than 40% iii. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week is less than 40% iv. I am 95% confident that the proportion of adults that regularly attend a tae kwon do class at least once a week equals…arrow_forwardFor the situation described below, state the null hypothesis, Ho, and the alternative hypothesis, H, to be tested. (Enter != for # as needed.) A statistical test is designed to show that the proportionp of defectives has decreased below 0.6%. Ho: 0.6 H: 0.6arrow_forwardWhich of the two hypotheses is the researcher always testing to reject or not?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
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