A CEO claims that men and women working for his company have equal opportunities to earn bonuses. A lawyerworking on a lawsuit filed by a female employee claims that men have greater bonus opportunities than womenworking at the company. Test this claim at the a = 0.10 level of significance. Let PM represent the proportionof men working for the company that have received a bonus in the past year and pw represent the proportion ofwomen working for the company that have received a bonus in the past year.Which would be correct hypotheses for this test?Ho: PM pw, H₁: PM > PWO Ho: PM= Pw, H₁: PM > PWHo: PMPw, H₁: PM PwHo: PM Pw, H₁: PM < PwIn a random sample of 274 men, 249 had received a bonus in the past year. In a random sample of 172 women,130 had received a bonus in the past year.Find the test statistic (2 decimal places):Give the P-value (4 decimal places - if less than 0.001 answer 0):

Given Xm=249,nm=274Xw=130 nw=172α=0.10 To construct a hypothesis, find test statistics and p-value.…

Answered: A CEO claims that men and women working…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 23%? (Round your answer to four decimal places.)
If you reject H_0: p ≥ 0.9 in a one-tailed test at the 0.05 level then you would definitely Select one: a. None of other answers is necessary true. b. reject H_0: p ≤ 0.9 in a one-tailed test at the 0.05 level. c. reject H_0: p ≥ 0.9 in a two-tailed test at the 0.01 level. d. reject H_0: p = 0.9 in a two-tailed test at the 0.01 level. e. reject H_0: p ≤ 0.9 in a one-tailed test at the 0.01 level
A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 91% of patients taking the drug are healed within 8 weeks. In clinical trials, 212 of 229 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the a= 0.05 level of significance. Because npo (1-Po) = 0.2 > 10, the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) ch help Clear all Check answer
Find the P-value with z-score (1) if doing a right-tail hypothesis test
Do credit cards with no annual fee charge higher interest rates than cards that have annualfees? Among 29 cards surveyed, 17 had no annual fees while 12 charged an annual fee. Amongthe cards with no annual fee, the average interest rate was 19% (SD=8%). Among cards with anannual fee, the average interest rate was 17% (SD=3%). Are interest rates significantly higherfor cards with no annual fees? Conduct a hypothesis test at the 10% significance level. show all steps
Several students were tested for reaction times (in thousandths of a second) using their right and left hands. (each value is the elapsed time between the release of a strip of paper and the instant that it is caught by the subject.) REsults from five of the students are includedin the graph. Use a significance level to test the claim that there is no difference between the reaction times on the right and left hands.What are the hypothesis for this test?What is the test satistic? Identify the Critical Value(s)What is the Conclusion?
Based on Information from a previous study, r, = 39 people out of a random sample of n, 98 adult Americans who did not attend college belleve in extraterrestrials. However, out of a random sample of n, = 98 adult Americans who did attend college, r, = 46 clatm that they believe in extraterrestrials. Does this Indicate that the proportion of people who attended college and who beleve in extraterrestrials is higher than the proportion who did not attend college? Use a = 0.01. (a) what is the level of ugnificance? state the null and alternate hypotheses. O H, P, = Pzi H P, P2 (b) what sampling distribution will you use? what assumptions are you making? O The standard normal. The number of trials is sufficiently large. O The Student's t. We assume the population distributions are approximately normal. O The Student's t. The number of trials is sufficiently large. O The standard normal. We assume the population distributions are approxlmately normal. What is the value of the sample test…
A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 264 had BMIS of less than 25, 158 had BMIS that were at least 25 but less than 30, and 122 had BMIS exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? In USE SALT (a) State the appropriate hypotheses with a significance level of 0.05. Ho: p = 0.20 Ha: p 0.20 H2: p = 0.20 Ho: p = 0.20 Ha: p + 0.20 О Но: р 3D 0.20 H: p > 0.20 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.) z = P-value = What can you conclude? O Reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. O Do not reject the null hypothesis. There is…
Are couples that live together before they get married less likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 212 of the 696 couples from the study who lived together before they got married were divorced within five years of marriage. 167 of the 447 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the = 0.05 level of significance? The test statistic z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 265 had BMIS of less than 25, 159 had BMIS that were at least 25 but less than 30, and 121 had BMIS exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (a) State the appropriate hypothe Open SALT in a new tab e level of 0.05. Ho: P = 0.20 H₂: P 0.20 Ho: p > 0.20 Ha: P = 0.20 Ho: P = 0.20 H₂: P = 0.20 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.) Z = P-value = What can you conclude? Do not reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. O Do not reject the null hypothesis. There is sufficient evidence that…
A pharmaceutical company claims a drug which it manufacturers relieves cold symptomsfor a period of 10 hours in 90% of those who take it. In a random sample of 400 people with colds who take the drug, 350 find relief for 10 hours. At a 0.05 level of significance, is the manufacturer’s claim correct?
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 17 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period. (a) Develop the null and alternative hypotheses most appropriate for this situation. H0: ? < 17 Ha: ? ≥ 17 H0: ? = 17 Ha: ? ≠ 17 H0: ? > 17 Ha: ? ≤ 17 H0: ? ≤ 17 Ha: ? > 17 H0: ? ≥ 17 Ha: ? < 17 (b) Comment on the conclusion when H0 cannot be rejected. We can conclude that there is statistical evidence that the new bonus plan increases the mean monthly sales volume.We can conclude that there is not statistical evidence that the new bonus plan increases the mean monthly sales volume. (c) Comment on the conclusion when H0 can be rejected. We can conclude…

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