QUESTIONS 1-5. Data in the table below were collected on a new test for the diagnosis of COVID-19 ina sample of 100,000 adults from the United States. Answer questions 1-5 based on these data.StatusCOVID-19 PresentCOVID-19 AbsentPositive Test9,5004,500Negative Test50085,5005. What is the Negative Predictive Value (NPV)?0.800.990.850.95

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Answered: QUESTIONS 1-5. Data in the table below…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 29E

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Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?
Question 2 A researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. Condition Blood Type O A B AB Total Critical 64 44 20 8 136 Severe 175 129 50 15 369 Moderate 211 528 151 125 1015 Mild 200 400 140 140 880 Total 650 1101 361 288 240 a .State both the null and alternative hypotheses. b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic.d. What conclusion are you allowed to draw? e. Would your conclusion change at the 10% level of significance?
Question 1 a) Suppose a census was conducted to determine the impact of COVID-19 on the operations of local vendors and it found that the mean and variance of the daily income of all local vendors is $ 600 and $156250 ($ squared), respectively. Assume a sample of 100 local vendors is selected, what is the probability that their sample mean daily income is within $ 100 of the population mean daily income? b) Suppose that the population variance in (a) is underestimated, what effect will this have on the probability calculated in (a)?
QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis?
Question #4. US Universities found that 72% of people are concerned about the possibility that their personal records could be stolen over the Internet. If a random sample of 300 college students at a Midwestern university were taken and 228 of them were concerned about the possibility that their personal records could be stolen over the Internet, could you conclude at the 0.025 level of significance that a higher proportion of the university's college students are concerned about Internet theft than the public at large? Report the p-value for this test. Z0.025 = 1.96
Question 2 A researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. Condition Blood Type Blood Type Blood Type Blood Type Blood Type O A B AB Total Critical 64.00 44 20 8 136 Severe 175.00 129 50 15 369 Moderate 211.00 528 151 125 1015 Mild 200.00 400 140 140 880 Total 650.00 1101 361 288 2400 State both the null and alternative hypotheses. Provide the decision rule for making this decision. Use an alpha level of 5%.

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