Explanation Given: You want to know the percentage of high school students who are vegetarians. Five basic steps to perform any statistical study are: 1. Stating the goal of the study : Determining the population we want to study and understanding what exactly we want to learn about it. 2. Choosing a representative sample from the population. 3. Collecting data : Collecting a raw data from the sample and summarizing this data by finding sample statistics of interest. 4. Analyzing data : Using the sample statistics to infer the population parameters. 5. Conclusions : Determining what we learned and whether we achieved our goal. The steps apply as follows: Step 1 : The goal of the study is to estimate the percentage of high school students who are vegetarians in America. Step 2 : We choose a sample of 1000 students consisting of 100 randomly selected high school students from each of the 10 different high schools...

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

6th Edition

ISBN: 9780321914620

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

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Chapter 5.A, Problem 26E

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How you would apply the five basic steps of statistical study to the following issue:

You want to know the percentage of high school students who are vegetarians.

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Chapter 5.A, Problem 25E

Chapter 5.A, Problem 27E

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(b) An otherwise fair six-sided die has been tampered with in an attempt to cheat at a dice game. The effect is that the 1 and 6 faces have a different probability of occurring than the 2, 3, 4 and 5 faces. Let θ be the probability of obtaining a 1 on this biased die. Then the outcomes of rolling the biased die have the following probability mass function. Table 1 The p.m.f. of outcomes of rolls of a biased die Outcome 1 2 3 4 5 6 Probability θ 1 4 (1 − 2θ) 1 4 (1 − 2θ) 1 4 (1 − 2θ) 1 4 (1 − 2θ) θ (i) By consideration of the p.m.f. in Table 1, explain why it is necessary for θ to be such that 0 < θ < 1/2. [2] (ii) The value of θ is unknown. Data from which to estimate the value of θ were obtained by rolling the biased die 1000 times. The result of this experiment is shown in Table 2. Table 2 Outcomes of 1000 independent rolls of a biased die Outcome 1 2 3 4 5 6 Frequency 205 154 141 165 145 190 Show that the likelihood of θ based on these data is L(θ) = C θ395 (1 − 2θ) 605 ,…

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Chapter 5 Solutions

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

Ch. 5.A - You conduct a poll in which you randomly select...Ch. 5.A - Results of the poll described in question 1 would...Ch. 5.A - When we say that a sample is representative of the...Ch. 5.A - Consider an experiment designed to test whether...Ch. 5.A - The experiment described in question 4 is a....Ch. 5.A - The purpose of a placebo is a. to prevent...Ch. 5.A - Prob. 7QQ Ch. 5.A - An experiment is single-blind if a. it lacks a...Ch. 5.A - Poll X predicts that Powell will receive 49% of...Ch. 5.A - A survey reveals that 12% of Americans believe...

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How you would apply the five basic steps of statistical study to the following issue: You want to know the percentage of high school students who are vegetarians.

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Chapter 5 Solutions

To describe:

How you would apply the five basic steps of statistical study to the following issue:

You want to know the percentage of high school students who are vegetarians.