At a local high school with over 2,000 students, 65% of the student body participates in a schoolsponsored extracurricular activity. Suppose that the school newspaper is doing an article on studentparticipation in extracurricular activities and surveys a random sample of 100 students about theirparticipation. Let p represent the proportion of students who participate in an extracurricular activityin a sample of size 100. Why is the sampling distribution of p approximately normal?(A) Because np and n(1 - p) are both sufficiently large.(B) Because the sample was randomly selected.(C) Because the sample size is less than 10% of the population size.(D) Because the sampling distribution of a sample proportion is always approximately normal.(E) The sampling distribution of p is not approximately normal because the survey question has onlytwo possible answers, and a binary variable cannot be approximately normally distributed.

The sampling distribution of a statistic is the distribution of that statistic, considered as a…

Answered: At a local high school with over 2,000…

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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In 2017, a website reported that only 10% of surplus food is being recovered in the food-service and restaurant sector, leaving approximately 1.5 billion meals per year uneaten. Assume this is the true population proportion and that you plan to take a sample survey of 545 companies in the food service and restaurant sector to further investigate their behavior. (a) Show the sampling distribution of p, the proportion of food recovered by your sample respondents. A bell-shaped curve is above a horizontal axis labeled p. The horizontal axis ranges from about -0.03 to about 0.05. The curve enters the viewing window near -0.03 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.01. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 0.05. A bell-shaped curve is above a horizontal axis labeled p. The horizontal axis ranges from about -2.9 to about 3.1. The curve enters the viewing…
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