Confidence interval for the difference between population proportions.(Assume that the samples are randomly selected and independent.)Sample statistics: n₁ = 1000, x₁ = 250, and n₂ = 1200, X2=195;Construct a 98% confidence interval for the difference between populationproportions p₁ – P2(1.516, 3.021)(0.047, 0.128)(0.581, 1.819)(-0.621, 0.781)

We have,n1=1000n2=1200x1=250x2=195p̂1= x1/n1 =250/1000=0.250p̂2= x2/ n2 =195/1200=0.1625confidence…

Answered: Confidence interval for the difference…

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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Construct the confidence interval for the population mean μ. c=0.98, x=7.7, σ=0.3, and n= 47 A 98% confidence interval for μ is ?
A random survey of 200 pregnant women in New York City conducted by Epstein andRogers indicated that 150 of them preferred a female obstetrician to a male obstetrician.a. Find a point estimate for p, the proportion of all pregnant women in New York Citywho prefer a female obstetrician.__________ b. Find a 99% confidence interval for the proportion p of all pregnant women living inNew York City who prefer a female obstetrician.
Confidence Interval for One Population Mean In 1903, a paper published by Abigail Camp Dimon, discussed the effect of environment on the shape and form of two sea snail species. Nassa obsoleta and Nassa trivittata. One of the variables that Dimon considered was the length of the shell. A random sample of 256 N. trivittata specimens was selected. The average shell length for the sample was 12 mm., with a standard deviation of 4 mm. Find the 95% confidence interval for the average shell length of all N. trivittata sea snails. What is the margin of error used to calculate this interval? Do not round.
A 95% confidence interval for a proportion is (0.62, 0.88). From this we can infer: The population proportion is 0.75 The population proportion is equal to the sample proportion O The population proportion is between 0.62 and 0.88 O The population proportion is likely to be between 0.62 and 0.88
Suppose you take a random sample of n = 80 Douglas College students and ask each student their age. You find that the mean age of students in this sample is X = 22.0375 years and the sample standard deviation is s = 3.2014 years. Fill in the blanks (rounding to four decimal places): The 95% confidence interval for the mean age μ of all Douglas College students is from ______ years to ______ years.
you measure the weights of a random sample of twenty-five people. The sample mean is 60 kg. Suppose that the mean weights of people follow a normal distribution with an unknown mean and standard deviation of 5 kg. You compute a 95% confidence interval for μ. The 95% confidence interval for μ is?
Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
Which of the following terms is added and subtracted to the sample mean in order to obtain a 90% confidence interval containing the population mean? 1.960 Vn 1.645o 1.645- 1.960o
If n = 580 and X = 464, construct a 90% confidence interval for the population proportion, p.Give your answers to three decimals______< p < ______
A professor was curious about her students' grade point averages. She took a random sample of 15 students and found a mean GPA of 3.01 with a standard deviation of 0.534. Which of the following formulas gives a 99% confidence interval for the mean GPA of the professor's students?
Q2. Use the sample data below to test the hypotheses H: P = P2 = P3 H: Not all population proportions are equal where pi is the population proportion of Yes responses for population i. Use a 0.1 level of significance to answer the following questions. Populations Response 1 2 Yes 150 140 100 No 100 140 100 (A). What is the test statistic value? (B). Observing the x table, what is the possible range of values of the p-value? [Multiple choice with single answer] (a) 0.01

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