Suppose a test for a disease has asensitivity of 75% and a specificity of80%. Further suppose that in a certaincountry with a population of1,000,000, 20% of the population hasthe disease.This produces the following table.HasDoes notTotalsdiseasehavediseaseTest150,000160,000310,000positiveTest50,000640,000690,000negativeTotals200,000 800,000 1,000,000What are the PPV and NPV of this testfor this country? (Round your answersto one decimal place.)PPV%NPV%

Answered: Image /qna-images/answer/e6660a21-0ff0-42c6-b43d-658ebcfd5a4f.jpg

Answered: Suppose a test for a disease has a…

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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1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?
A new vaccination is being used in a laboratory-experiment to investigate whether it is effective. There are 258 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 55 62 117 Not Vaccinated 70 71 141 Total 125 133 258 Copy Data Step 6 of 8: Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places.
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
what is 1. P value 2. Z value 3. Critical value 4. Reject or do not reject 5. State conclusion
A random sample of ny 16 communities in western Kansas gave the following information for people under 25 years of age. X: Rate of hay fever per 1000 population for people under 25 119 129 92 123 112 93 125 95 125 117 97 122 127 88 A random sample of n 14 regions in western Kansas gave the following information for people over 50 years old. x2: Rate of hay fever per 1000 population for people over 50 94 108 100 97 111 88 110 79 115 100 80 114 85 96 A USE SALT (1) Use a calculator to calculate x, 1, 2, and s2. (Rqund your answers to four decimal places.) () Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use a0.05. (a) what is the level of significance? State the null and altermate bypotheses. Ho: H P H P2
Which of the statements below is true:a. Larger sample sizes produce greater sampling errorb. Larger sample sizes produce greater margin of errorc. Greater sampling error produces greater margin of errord. Sampling error is not related to Margin of Error
You intend to conduct a test of homogeneity for a contingency table with 5 categories in the column variable and 4 categories in the row variable. You collect data from 553 subjects.What are the degrees of freedom for the χ2 distribution for this test? d.f. =
2a. (Data calories.txt) For this problem, focus on the random sample obtained using only treatment 1. What is the average number of calories consumed for children in this group? Use 2 decimals Hint: Don't forget to only use the subset of children that participated in meal prep aration. 2b. (Data calories.txt only using treatment 1 sample) Based on these data, obtain the standard error for the average of calories consumed by children participating in meal preparation. Enter the value using two decimals. Hint 2: The R command length() may be useful to find the appropriate sample size. 2c. (Data calories.txt only using treatment 1 sample) A researcher would like to show that children participating in meal preparation (treatment 1) consume more than 400 calories, on average. Use the results obtained in the previous two questions and obtained the test statistic. Enter it here using two decimals. 2d. (Data calories.txt only using treatment 1 sample) A researcher would like to show that…
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1. A dog groomer is often asked if small dogs bark more than larger dogs. To test this, he logs the number of separate barking episodes per day for three size dogs: small, medium, and large. In a separate file you will find the number of barking episodes for 12 dogs. On average, small dogs barked the most Mean: 7.25 On average, medium sized dogs barked the least Mean: 2.75 A. Do the different size dogs bark a significantly different number of times? Test with an α = 0.05. B. If appropriate, use Tukey’s HSD post hoc test and report where the differences are. If inappropriate, state why. C. Calculate and interpret the effect size.
Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining whether or not there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data (in miles per gallon) show the results of the test. Assume the population of differences is normally distributed. Driver Manufacturer A Manufacturer B 1 36 30 2 31 31 3 30 28 4 30 27 5 29 27 6 33 30 7 35 25 8 29 31 The test statistic is 2.316. At ? = 0.10, the null hypothesis should be revised .should not be tested. should be rejected. should not be rejected.

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