The Gallup Poll asked a random sample of 1785 adults if they attended church during the past week. Let p be the proportion ofpeople in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week.Suppose this claim is true.Verify the sampling distribution of p is approximately Normal.Because np = 1785(0.40) = 714.0 ≥ 10 and n(1 − p) = 1785(0.60) = 1071 ≥ 10, the sampling distribution of p isapproximately Normal.Because 40> 30, the sampling distribution of ô is approximately Normal.Because 1785 > 30, the sampling distribution of p is approximately Normal.0.40, the distribution of p is skewed to the right.Because p =Because np = 1785(0.40) = 714.0 10 and n(1 − p) = 1785(0.60) = 1071 ≥ 10, the sampling distribution of p isnot approximately Normal.

given data n = 1785 p^ = proportion of people in the sample who attended church. p = 0.40 we have to…

Answered: The Gallup Poll asked a random sample…

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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Suppose that the distribution of income in a certain tax bracket is approximately normal with a mean of $59,194.86 and a standard deviation of $4,454.165. Approximately 22.1% of households had an income greater than what dollar amount? Question 5 options: 1) 55,770.4 2) 62,619.31 3) 15,312,273 4) We do not have enough information to calculate the value. 5) 15,193,883
A campus representative for a website wants to know what percentage of students at a large state campus currently wear contact lens. Suppose the true proportion is 31%. Complete parts a and b. a) We randomly picked 90 students. Let p represent the proportion of students in this sample who wear contacts. What's the appropriate model for the distribution of p? Specify the name of the distribution, the mean, and the standard deviation. Be sure to verify that the conditions are met. The distribution is a distribution. The mean is (Type an integer or a decimal. Do not round.) The standard deviation is (Round to three decimal places as needed.) What assumptions underlie your model? Are the conditions met? O A. The randomization condition, 10% condition, and success/failure condition are met or can be assumed to be correct. O B. The 10% and success/failure conditions are not met. The randomization condition is met or can be assumed to be correct. O C. The success/failure condition is not met.…
A recent Gallup Poll interviewed a random sample of 1523 adults. Of these, 868 bought a lottery tickets in the past year. Suppose that in fact (unknown to Gallup) exactly 60% of all adults bought a lottery ticket in the past year. If Gallup took many simple random samples of 1,523 people, the sample proportion who bought a ticket would vary from sample to sample. The sampling distribution would be close to normal with a mean of 0.6 and a standard deviation of___ A)0.4899 B)0.0251 C)0.00016 D)0.0126
11).
Most people think that the "normal" adult body temperature is 98.6°F. In a more recent study, researchers reported that a more accurate figure may be 98.1°F. Furthermore, the standard deviation appeared to be around 0.7°F. Assume that a Normal model is appropriate. b) What fraction of people would be expected to have body temperatures above 98.6°F?
Suppose a random sample of n measurements is selected with probability of success p = . 35. Given n = 200, describe the shape, and find the mean and the standard deviation of the sampling distribution of the sample proportion.
Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.
Given a Normal Distribution with a population mean test score of 500 and a population standard deviation of 100. A.)For a sample of 81 test takers, calculate the standard error of the mean to 2 decimals. B.)What is the probability a sample of 81 test takers will provide a sample mean test score within 20 points of the population mean?
4. You ask an SRS of 1500 college students whether they applied for admission to any other college. Suppose that in fact 35% of all college students applied to colleges besides the one they are attending. The sampling distribution of the proportion of B your sample who say "Yes" is approximately Normal with mean 0.35 and standard deviation 0.01. Sketch this Normal curve and use it to answer the following questions. (You can use the 68-95-99.7 rule for all these questions.) Round to nearest whole percent. (a) What percentage of many samples would have a larger than 0.37? 2.5 (b) What is the probability that your sample will have a less than 0.33?Å (c) what is the probability that your sample result will be either less than 0.33 or greater than 0.35?
6. For a population with a standard deviation of o = 20, how large a sample is necessary to have a standard error that is: a. less than or equal to 5 points? b. less than or equal to 2 points? c. less than or equal to i pint?
Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . What is the standard deviation using the conceptual definition? That is, what is the average distance from the data points to the mean? A. 5.34 B. 4.09 C. 2.58 D. 7.29
17)

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