A labor researcher claims that 6% of U.S. employees say it is likely they will be laid off in the next year. In a random sample of 547 U.S. employees, 44 said it is likely they will be laid off in the next year. At α=0.05, is there enough evidence to reject the researcher’s claim?

A labor researcher claims that 6% of U.S. employees say it is likely they will be laid off in the next year. In a random sample of 547 U.S. employees, 44 said it is likely they will be laid off in the next year. At α=0.05, is there enough evidence to reject the researcher’s claim?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

1
2. A group of doctors at a specific hospital believes that the normal survival rate for patients with extensive burns will significantly increase with the use of new fluid plasma compresses. Before the new treatment, the survival rate for extensive burn patients at the hospital was about 40%. Using the new compresses, the hospital found that 48 out of 90 patients with extensive burns survived. Does this provide sufficient evidence for the hospital to try to market the new fluid plasma compresses to other hospitals? Answer this question using a = 0.05.
In a certain manufacturing company, a safety engineer has conducted an observation for a period of one month. The results presented show that only 10% of the machinists wear clear goggles and 90% wear cotton gloves when grinding a piece of metal during a regular day. Assuming that this claim is right and that the workers still do not know that they are being observed, what is the chance that no more than 3 out of 7 workers will be wearing their clear goggles while grinding during a random check? 0.997 0.957 0.571
A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. A recent sample of 1,000 adults showed 410 indicating that their financial security was more than fair. Suppose that just a year before, a sample of 700 adults showed 245 indicating that their financial security was more than fair. (a) State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. (Let p1 = population proportion most recently saying financial security more than fair and p2 = population proportion from the year before saying financial security more than fair. Enter != for ≠ as needed.) H0: Ha: (b) Conduct the hypothesis test and compute the p-value. At a 0.05 level of significance, what is your conclusion? Find the value of the test statistic. (Use p1 − p2. Round your answer to two decimal places.) Find the p-value. (Round your answer to…
A paper describes a study of the use of MRI (Magnetic Resonance Imaging) exams in the diagnosis of breast cancer. The purpose of the study was to determine if MRI exams do a better job than mammograms of determining if women who have recently been diagnosed with cancer in one breast have cancer in the other breast. The study participants were 950 women who had been diagnosed with cancer in one breast and for whom a mammogram did not detect cancer in the other breast. These women had an MRI exam of the other breast, and 101 of those exams indicated possible cancer. After undergoing biopsies, it was determined that 30 of the 101 did in fact have cancer in the other breast, whereas 71 did not. The women were all followed for one year, and four of the women for whom the MRI exam did not indicate cancer in the other breast were subsequently diagnosed with cancer that the MRI did not detect. The accompanying table summarizes this information. Cancer Cancer Not Present Present Total MRI…
In an early home game, an NBA team made 66 of their 100 free throw attempts. In one of theirlast home games, the team made 68 of 90 attempts. At α = .10, did the team significantlyimprove its free throw percentage (left-tailed test)?
carefully watched over a number of feedings. If it used its right paw more than half the time to activate the tube, it was defined to be “right-pawed." Observations of this sort showed that 67% of mice belonging to strain A/J are right-pawed. A similar protocol was followed on a sam- ple of thirty-five mice belonging to strain A/HeJ. Of those thirty-five, a total of eighteen were eventually classified as right-pawed. Test whether the proportion of right-pawed mice found in the A/HeJ sample was significantly differ- ent from what was known about the A/J strain. Use a two- sided alternative and let 0.05 be the probability associated with the critical region.
An accounting firm annually monitors a certain mailing service's performance. One parameter of interest is the percentage of mail delivered on time. In a sample of 346,000 items mailed between Dec. 10 and Mar. 3—the most difficult delivery season due to bad weather and holidays—the accounting firm determined that 241,300 items were delivered on time. Use this information to make a statement about the likelihood of an item being delivered on time by that mailing service. Assuming a confidence level of 95%, the likelihood of an item being delivered on time (when it was mailed between Dec. 10 and Mar. 3) is in the interval (enter your response here,enter your response here). (Round to four decimal places as needed.)
A study of fox rabies in a country gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region I gave the following information about the number of cases of fox rabies near that location. x1: Region I Data 1 9 9 9 7 8 8 1 3 3 3 2 5 1 4 6 A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location. x2: Region II Data 1 1 5 1 6 8 5 4 4 4 2 2 5 6 9 What is the value of the sample test statistic? (Test the difference μ1 − μ2. Do not use rounded values. Round your final answer to three decimal places.)
Refer to Exercise 8.S.1. Compare the before and after populations using a t test at α = 0.05. Use a nondirectional alternative.
It is known that roughly 2/3 of all human beings have a dominant right foot or eye. Is there also right-sided dominance in kissing behavior? An article reported that in a random sample of 112 kissing couples, both people in 69 of the couples tended to lean more to the right than to the left. (Use α = 0.05.) USE SALT (a) If 2/3 of all kissing couples exhibit this right-leaning behavior, what is the probability that the number in a sample of 112 who do so differs from the expected value by at least as much as what was actually observed? (Round your answer to four decimal places.) (b) Does the result of the experiment suggest that the 2/3 figure is implausible for kissing behavior? State the appropriate null and alternative hypotheses. Ho: P = 2/3 H₂: P ≤ 2/3 Ho: P = 2/3 H₂: P > 2/3 O Ho: P = 2/3 H₂: P < 2/3 ⒸH₁: P = 2/3 H₂:P # 2/3 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value =
A researcher claims that 89% of people sleep with a pillow. In a random sample of 1000 people, 825 say that they sleep with a pillow. At α = 0.10, is there enough evidence to reject the researcher’s claim?