Currently it is estimated that 2 out of every 1000 Californians are infected withcoronavirus. The so-called rapid "antigen" test for coronavirus has a very low falsepositive rate of just 0.02, but has a high false negative rate of 0.27. The so-calledPCR test is more reliable: it has an even lower false positive rate than the antigentest, namely only 0.001, but even more importantly its false negative rate is muchlower at 0.01.What is the probability that you have a coronavirus infection conditional on yourPCR test has coming back positive?

Answered: Image /qna-images/answer/c41f1117-37e7-4f4d-8d4f-548c379eccda.jpg

Answered: Currently it is estimated that 2 out of…

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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When I examine the design of an experiment, I find that it fell victim to the Fundamental Threat to good research. What have I discovered? A confounding variable That more than one IV was used. That the investigator violated the ethical principle of beneficence. That the alpha level picked by the researcher was too small.
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Suppose the study described in the previous question was conducted by a colleague. He tells you that based on a chi-square distribution with 2 degrees of freedom, his p-value was 0.11, and he concludes that the proportions are not the same across health status categories. Do you agree with his conclusion? Yes, by rejecting the null hypothesis, it does appear that the proportions are not the same. Yes. He should have not rejected the null hypothesis and concluded that they do not appear to be related. Yes. a p-value > 0.05 always indicates that variables are related regardless of the test conducted
Historically it is known thatp = 36.3% of the population have a specified characteristic. A random sample of size n=500 is taken, and x=167 number of the population has the specified characteristic. Determine the value of the test statistic for the hypothesis test of one proportion with null hypothesis Ho: p = 36.3%. Enter your answer to two decimal places.
You have determined that in the past three years there 7 of the 14 were hand injuries. Previous projections had indicated that under normal conditions, only four hand injuries were expected and 12 other injuries were expected. The remaining injuries were due to other causes. Calculate the chi-square value and discuss whether there was a significant difference in observed data vs. the expected data. Also discuss how the process of hypothesis testing might prove helpful o = 7 hand injuries and 7 other injuriese = 4 expected hand injuries and 12 other injuries
You are more likely to make a type 1 error with a sample of n=4 than with a sample of n=100 if you use α= .05 for both tests. A. True B. False
On March 2005, a poll surveyed 535 adults aged 18 years old or older and asked “ Do you think there is life on other planets or not?. Of the 535, 326 responded yes. same question was asked on September3,2000, 385 of the 535 individuals surveyed said yes. Can you conclude that the proportion has decreased at alpha = 0.05 level of significance.
There is a marketing researcher who wants to test the effectiveness of a new commercial by giving participants a survey asking their likelihood of buying a certain cleaning product where 1= not at all likely and 5= extremely likely. The participants will be given the questionnaire before and after watching a show that advertised the cleaning product during commercial breaks. We must Test the hypothesis that the commercial produced an effect on these scores using alpha = .05. list conclusions using variable names and calculate Cohen’s d, if applicable. Step 1: Ho: H1: Step 2: Critical region: Step 3: tobt = Step 4: Which one: fail to reject H0/reject H0 Did the commercial have a statistically significant effect? YES/NO What is the research design used? What is the appropriate statistical analysis?
16% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those who live in the inner city have sleep apnea. Of the 398 people from the inner city surveyed, 52 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01? For this study, we should use Z TEST FOR A POPULATION PROPORTION The null and alternative hypotheses would be: Ho: P=0.15 (please enter a decimal) H1: P <0.1 3. The test statistic _z__ = _______ (please show your answer to 3 decimal places.) 4. The p-value = __0.0144__ (Please show your answer to 4 decimal places.) 5. The p-value is __<__α 6. Based on this, we should ___FAIL TO REJECT___ the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly smaller than 16% at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is…
We want to use a z-test to determine if the sample mean is greater than 20 at the alpha = 0.05. What is the critical value(s)?
Researchers analyze a new portable radiocarbon dating machine and determine that the machine will correctly predict the age of an archaeological object within established tolerances 70% of the time. The machine's inventor wants to test this claim, believing that her machine correctly predicts age at a greater rate. Let p represent the proportion of times that the new portable radiocarbon dating machine correctly determines the age of an archaeological object to within the established tolerances. The inventor's null and alternative hypotheses are as follows. Но : р 0.70 На : р> 0.70 The inventor takes a random sample of n = 100 archaeological objects for which the age is already known and uses her machine to determine the age of each object. The machine correctly determines the age of 78 of the objects in the sample. What is the value of the standardized test statistic? (Round to 2 decimal places)
Perform the hypothesis tests as required. Use the four-step method. 3. Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men in 2000. To look at changes in incidence over time, 5000 men in this age group were followed for 1 year starting in 2010. Fifteen new cases of MI were found. Using the p-value method with α = 0.05, test the hypothesis that incidence rates of MI changed from 2000 to 2010.

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