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Question: A rare disease occurs in about 1 out of 1000 people who are similar to you. A test for the disease has sensitivity of 95% and specificity of 90%.
a. Create a hypothetical one hundred thousand table illustrating this situation, where the row categories are disease (yes, no) and the column categories are test results (positive, negative).
b. Draw a tree diagram for this situation.
c. Using the table from part (a) or the tree diagram from part (b), find the proportion of people who will test positive for the disease.
d. Find the probability that you actually have the disease given that your test results are positive.
Suppose that the null hypothesis is rejected and alternate hypothesis is accepted. Discuss the conclusion as a Type I error, a Type II error, or a correct decision, if in fact the defendant is innocent.
When do Americans decide what to make for dinner? An online survey (N. Hellmich, Americans Go for the Quick Fix for Dinner, USA Today, February 14, 2005, p. 1B)
Using the .05 level of significance, what should we conclude about the theory that 24 hours is the natural cycle? That is, does the average cycle length under these conditions differ significantly from 24 hours?
In many fast food restaurants, there is a strong correlation between a menu item's fat content (measured in grams) and its calorie content. We want to investigate this relationship.
What tensions emerged in the Southwest that threatened to lead the United States into a war with Mexico? On what grounds did President James K. Polk ask Congress to declare war on Mexico?
assume that a simple random sample has been selected from a normally distributed population and test the given claim.
Suppose five honest coins are flipped. Find the probability of getting at least two heads.
Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places.
A manufacturer of power meters, which are used to regulate energy thresholds of a data-communications system, claims that when its production process is operating correctly, only 10% of the power meters will be defective.
To continue problem, a second random sample of 12 adult crabs was collected, and it revealed that 4 individual crabs had been infected.
The populations must all be normally distributed, what is meant by normally distributed?
In this article on factors contributing to tourism trends, common symbols used in weather forecasts are used to illustrate and summarize how a variety of factors driving tourism in the UK are changing.
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