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A sample of 100 one-dollar bills from the Subway cash register revealed that 16 had something written on them besides the normal printing (e.g., “Bob ? Mary”). (a) At α = .05, is this sample evidence consistent with the hypothesis that 10 percent or fewer of all dollar bills have anything written on them besides the normal printing? Include a sketch of your decision rule and show all calculations. (b) Is your decision sensitive to the choice of α? (c) Find the p-value.
If 28% of the residents play poker and garden and 70% of the residents play both shuffleboard and poker, then find the probability that a resident plays poker, given that they garden.
Find a 90% confidence interval for the difference between the proportion of men and the proportion of women who approved of Reagan's performance. What assumption do you make to use this method?
The cell phone industry is growing at a rapid pace. Current estimates suggest that 60% of people have cell phones. Suppose 25 people were randomly and independently sampled.
Let X bar be the average of n such independent measurements. Use Chebychev's inequality to estimate how large n should be such that P(|X bar - M |
Suppose that 80% of all batteries have acceptable voltages, and let y denote the number of batteries that must be tested. What is p(2), that is, P(y=2).
When 338 college students are randomly selected and surveyed, it is found that 109 own a car. Find a 99% confidence for the true proportion of all college students who own a car.
Assuming for a moment that 35% of all Ralph's customers have a discount card, what is the probability of getting a sample proportion at least this big?
A researcher administers a treatment to a sample of participants selected from a population with µ = 80. If the researcher obtains a sample mean of M = 88, which combination of factors is most likely to result in rejecting the null hypothesis?
The value of "Z" chosen for constructing (calculating) the confidence interval estimate is determined by
Please use words to describe the solution, not just symbols. (basically, explain what is going on in addition to an answer) Use a math symbol editor where appropriate.
There are twelve months. Given the cohort of 100 which starts the program, about how many are left after twelve months?
Determine the 90% confidence interval for average days worked by employees in all payroll departments?
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