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Your director has banned the use of all artificial fingernails, claiming their use contributes to patient infections in the unit. After multiple discussions the director has allowed you to do a research study to determine if the use of artificial fingernails causes increases in infection rates. You would really like to prove that their use does not contribute to infection rates. Without worrying about the research design in this case, or even how you might research it, state
1. The null and alternate that you might use.
2. What alpha you might use and why
3. What rejecting the null would mean
4. What failing to reject the null would mean
5. What a type I error is in this case and the consequences of it?
6. What a type II error is in this case and the consequences
7. Which error is more important in this case.
How many cans of paint should the sample contain if the researcher wants to be 98% certain of being within one percentage point of the true proportion of this chemical?
Suppose you went to the Bureau of Labor Statistics web site and found several predictors of your salary. State three possible predictors and a simulated multilinear regression equation along with their p-values. What does your p-values tell you ab..
What is the relationship between confidence intervals and hypothesis testing? How are they the same? How are they different?
Public health statistics indicate that about 26.4% of Americans smoke. Suppose a random sample of 50 people is selected. Approximate the distribution of the same proportion with the normal model.
In a sample of 50 members of a local health club you find that 12 of these members meet weekly with a physical fitness trainer and that the average body mass index (BMI) of these 12 members is less than the average BMI of the other 38 club members..
Describe the standard normal distribution. Explain why it can be used to find probabilities for all normal distributions.
Calculate (a) MAD, (b) MSE, and (c) MAPE for the following forecast versus actual sales figures.
Under what conditions should you use the Chi-Square Test to determine whether there is a difference between proportions of two independent populations?
Find the point estimate p-hat and the margin of error for the confidence interval (0.444, 0.484)
Determine the setting for the mean so that no more than 1% of the cans of paint will be unacceptable.
The linear correlation coefficient, r, measures the strength of the linear relationship the variables in a set of ordered pairs (x,y). What is the maximum and minimum values for r?
Polls showed the two main candidates in 2004 presidential election were nearly tied on the day before the election. To predict the winner a newspaper would like to have a poll that has a margin of error of less than 1%.
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