In a MNC, an employee has to clear theperformance evaluation test for three consecutivetime to consider him for executive role. The generalbelief is that 2.76 out of 1500 employee's getexecutive role in that MNC at that particular timewhen the test was conducted. The employees canundergo the performance test multiple times. Twosets of tests were done and the employee is referredto the executive role if he tested deserved in all twotests. However, there is 22% chance that the testresult is negative even though the employee is adeserved employee. And there is 16% chance thatthe test results positive for an undeserved employee.Determine the probability of testing theperformance evaluation test positive if the employeeis deserved for an executive role. Also draw theprobability tree whenever necessary.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The principal of Paul Revere High School bragged that his 2016 graduating class of 1500 students achieved impressive scores on their ACT exams. He announced that an “astounding” 36% of the class got a score of 29 or higher, 54% got a score of 21 to 28, and only 10% less than 21. You want to test whether these ACT results are really that astounding. You visit the ACT website to see that the national results are 34% getting a score over 28, 58% getting 21 to 28, and 8% less than 21. Test whether or not the principal is correct to brag that his proportions were more impressive than the national performance. Use an alpha of 0.05. So I kinda understand the question. I am mostly confused about how to determine the degree of freedom to get the critical value. Like I know the formula is d-C, and C is the number of categories in the word problem, but is there 3? Or am I just totally wrong?
There are two main fishing spots in a certain video game, a river and a lake. In the river, out of the 57 fish that were caught, 31 of them were trout. In the lake, out of the 64 fish that were caught, 24 of them were trout. Use a significance level of a = 0.02 to test the claim that the proportion of trout in the river is greater than the proportion of trout in the lake. Let the river represent population 1, and the lake represent population 2. a.) State the null and alternative hypothesis using correct symbolic form. Ho: P1 P2 H1: P1 + P2 b.) What is the critical value? (round to two decimal places)
A reporter for a local television station visits the city's new upscale shopping mall the day before Christmas to interview shoppers. He questions the first 25 shoppers he meets outside one of department stores at the mall. He asks them whether their overall feelings about Christmas shopping are positive, neutral, or negative. Select the reason(s) why it may be risky to act as if the first 25 shoppers at this particular location are an SRS of all shoppers in the city. Surveying shoppers the day before Christmas is a convenience sample, so it is a simple random sample. Shoppers at the mall the day before Christmas does not guarantee every shopper in the population has an equal chance to be in the sample. Surveying shoppers at the mall the day after Christmas may not be a good represenation of all shoppers in the city. Having the reporter ask questions is not a double‑blind study.
A USA Today poll asked a random sample of 1012 U.S. adults what they do with the milk in the bowl after they have eaten the cereal. Suppose that 70% of U.S. adults actually drink the cereal milk. Remember to check conditions and interpret your results into a sentence.
Researchers have been studying the reliability of a new medical test. On their last study, they found that the test accurately identified those with the disease 92% of the time, and it accurately identified those without the disease only 74% of the time. There were 1,000 total people in this study, and 200 of them had the disease. Complete the table below using this information. Then, use your completed table to help you answer the questions. Disease Is Present Healthy (Disease Is Not Present) 184 Positive Test Result 16 Negative Test Result ९ Enter text [more.. 592 a) If an individual does not have the disease, what is the probability that the test suggests that the disease is present? Give your answer as a percent rounded to the nearest hundredth, if necessary. Be sure to include the % when inputting your answer. 0.26 X b) If the test result suggests that the disease is present, what is the probability that the patient does not have the disease? Give your answer as a percent rounded…
A report just came out that stated that 24.4% of all Americans say that vanilla is their favorite ice cream, 22.7% say that chocolate is their favorite, 8.4% favor butter pecan, 9.1% favor strawberry, and the rest have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America. The table below shows the results of 995 of her patrons' ice cream selections. What can be concluded at the αα = 0.05 significance level? Complete the table by filling in the expected frequencies. Round your answers to the nearest whole number. Outcome Frequency Expected Frequency Vanilla 248 Chocolate 230 Butter Pecan 79 Strawberry 101 Other 337 The degrees of freedom = _____ The test-statistic for this data = _____ (Please show your answer to three decimal places.) The p-value for this sample = _____(Please show your answer to four decimal places.)
In 1940, 2,000 women working in a factory were recruited into a study. Half of the women worked in manufacturing and half in administrative offices. The incidence of bone cancer through 1970 among the 1,000 women working in manufacturing was compared with that of 1,000 women working in administrative offices. Thirty of the women in manufacturing developed bone cancer as compared to 9 of the women in administrative offices. Identify what type of study this is.
A report just came out that stated that 21.3% of all Americans say that vanilla is their favorite ice cream, 23.1% say that chocolate is their favorite, 9.1% favor butter pecan, 10% favor strawberry, and the rest have other favorites. An ice cream shop owner thinks that her customers are not like the rest of America. The table below shows the results of 905 of her patrons' ice cream selections. What can be concluded at the a = 0.05 significance level? a. Complete the table by filling in the expected frequencies. Round your answers to the nearest whole number. Frequencies of Favorite Ice Cream Frequency Expected Frequency Outcome Vanilla 172 Chocolate 195 Butter Pecan 75 Strawberry 86 Other 377 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? Но: Favorite ice cream and where the ice cream is purchased are independent. Favorite ice cream and where the ice cream is purchased are dependent. The distribution of favorite ice…
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How much more likely are alcoholics to say sober for a year after counseling if their best friend is not an alcoholic vs. if their best friend is an alcoholic? A researcher tracked 747 alcoholics whose best friends were not alcoholics and 517 alcoholics whose best friends were alcoholics. A year later 570 of those whose best friends were not alcoholics stayed sober for the year and 207 of those whose best friends were alcoholics stayed sober for the year. 1. Come up with the 99% confidence interval for the difference. Round your answers to four decimal places and present your answers as proportions rather than percents. ( __________ , ____________ )
A researcher designs an intervention to combat anti-Arab oppression. She also designs a questionnaire to measure anti-Arab oppression so she can test the participants' level of anti-Arab oppression before and after the intervention. She tests one version of her questionnaire with 45 statements and a shorter version with 12 statements. In both questionnaires, the participants respond to each statement with a rating on a 5-point Likert scale with 0 equaling "strongly disagree" and 4 equaling "strongly agree." The overall score for each participant is the mean of his or her ratings for the different statements on the questionnaire. Look at the following graphs. Graph I graphs the results from the long version, and Graph II graphs the results from the short version. Graph I Graph II PARTICIPANTS PARTICIPANTS 8 8 7 7 6 6 4 4 3 3 2 1 1 1 2 3 4 2 4 LONG QUESTIONNAIRE SCORE SHORT QUESTIONNAIRE SCORE Complete the following sentences by trusting your eyes to see meaningful differences in the two…

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