**Testing for a Disease Using Combined Samples**To increase efficiency in disease testing, samples can be combined. When samples from five people are grouped and yield a negative result, it confirms all five are negative. Conversely, a positive result in a mixed sample indicates at least one positive. For a single sample, assume a 0.1 probability of testing positive. Determine the probability of a positive result for five combined samples and assess if further individual testing is rarely needed.**Task:** Find the probability of a positive test result for five combined samples.**Question:** Is the probability low enough to avoid frequent further testing of individual samples?**Answer Choices:**- **A.** The probability is not low, so further testing is not necessary for any mixtures.- **B.** The probability is low, so further testing will be a rare necessity.- **C.** The probability is not low, so further testing will often be necessary.- **D.** The probability is low, so further testing is necessary for all mixtures. (*The question requires rounding to three decimal places.*)

Answered: ample will always test positive, no…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher belleves that 52% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher, this figure is actually 50%, which is the same as in the general population. To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as the only child. Let p be the proportion of people in the sample with an IQ score above 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 20.52), which is the probability that there will be 52% or more people with IQ Scores over 100 in the sample. Round your answer to four decimal places. 2022 acer
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A researcher conducts a hypothesis test using a sample from an unknown population. If the t statistic has df = 30, how many individuals were in the sample?
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A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305. a) What proportion of his trees are infected by the parasite? Your answer is 1 b) If a given tree is not infected, what is the probability that this tree was an apple tree? Your answer is
According to a report on consumer fraud and identity theft, 21% of all complaints for a year were for identity theft. In that year, Ohio had 273 complaints of identity theft out of 1405 consumer complaints. Does this data provide enough evidence to show that Ohio had a lower proportion of identity theft than 21%? Test at the 1% level. State the hypotheses. Ho: P = v or .21 Ha: p
What is the value of the sample test statistic? (Test the difference p₁ - P2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. 0-3 -2 -2 -1 -1 0 Read It 0 1 1 Watch it 2 2 3 0-3 ^ -1 0 1 -2 -2 -1 0 1 O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. 2 2 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. 3…

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