g a 2-for-1 stock split. Before the transaction is finalized, at least two-thirds of the 1,200 company stockholders must approve the proposal. To evaluate the likelihood the proposal will be approved, the CFO selected a sample of 18 stockholders. He contacted each and found 15 approved of the proposed split. What is the likelihood that two-thirds of the shareholders will approve the proposal?

g a 2-for-1 stock split. Before the transaction is finalized, at least two-thirds of the 1,200 company stockholders must approve the proposal. To evaluate the likelihood the proposal will be approved, the CFO selected a sample of 18 stockholders. He contacted each and found 15 approved of the proposed split. What is the likelihood that two-thirds of the shareholders will approve the proposal?

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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In the year 2000, the state of Indiana began a $40-million renovation of its state fairgrounds, which included the building of a miniature golf course and a state- of-the-art livestock building. Now, Indiana officials are interested in learning what sorts of people are visiting the new attractions. In a survey done at this year's state fair, it was found that, among a random sample of 80 couples at the fair with their children, 54 had visited the new miniature golf course, and among an independently chosen, random sample of 65 couples at the fair on a date (without children), 31 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.05 level of significance, that the proportion p, of all couples attending the fair with their children who visited the miniature golf course is different from the proportion p, of all couples attending the fair on a date who visited the miniature golf course? Perform a two-tailed test. Then complete the parts below. Carry…
In the Star and Tribune newspaper, there is an article entitled “1 in 8 school buses fail tests." The article says that the overall statewide proportion of school buses that fail safety tests is 9%. However, one bus company has a higher rate of over 12%. Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection. We take a sample of 200 buses and find that 20 buses fail the safety inspection. If we construct a 95% confidence interval estimate for the true proportion of all Minnesota school buses that fail the safety tests, what is the upper limit of the interval? (Enter you answer including 3 decimal positions, e.g. .234)
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Among students at a nearby college, the proportion who say they’re interested in their congressional district’s election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they’re interested in their districts election results is now less than 70%. A pill is commissioned, and 154 out of random sample of 230 students at the college say they’re interested in their districts election results. Is there enough evidence to support the political scientist’s claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.
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For an acceptance sampling plan with n = 23 andc = 0, find the probability of accepting a lot that has a defect rate of 4%. (Round your answer to four decimal places.) What is the probability of accepting the lot if the defect rate is 8%? (Round your answer to four decimal places.)
Last year, 41% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 32% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 55 business owners. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the proportion of business owners providing holiday gifts had decreased from last year. State the hypotheses.