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Suppose the true population proportion is p = 0.5. The figure below shows the distribution of the sample proportion (p) values for 3 different sample sizes. Plot 1 1 2 3 0.2 Plot 2 0.2 0.2 Plot 3 0.4 0.1 0.05 0.025 0.4 0.4 ||| 0.6 25 100 ? 0.6 0.6 0.8 The table below contains standard deviations for each of the three plots. Plot Standard Deviation Sample Size 0.8 0.8 Q1: What do the dots (the observations) in each of the 3 plots represent? In other words, what are the values plotted in each dot plot? Q2: The sample size for Plot 3 is missing. Provide the missing sample size value (include supporting work). Q3: Describe what would happen to the distribution of the sample proportion values as the sample size becomes larger and larger. (Comment about the shape, center, and spread of the sampling distribution of the possible sample proportion values.)

Suppose the true population proportion is p = 0.5. The figure below shows the distribution of the sample proportion (p) values for 3 different sample sizes. Plot 1 1 2 3 0.2 Plot 2 0.2 0.2 Plot 3 0.4 0.1 0.05 0.025 0.4 0.4 ||| 0.6 25 100 ? 0.6 0.6 0.8 The table below contains standard deviations for each of the three plots. Plot Standard Deviation Sample Size 0.8 0.8 Q1: What do the dots (the observations) in each of the 3 plots represent? In other words, what are the values plotted in each dot plot? Q2: The sample size for Plot 3 is missing. Provide the missing sample size value (include supporting work). Q3: Describe what would happen to the distribution of the sample proportion values as the sample size becomes larger and larger. (Comment about the shape, center, and spread of the sampling distribution of the possible sample proportion values.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Suppose the true population proportion is p = 0.5. The figure below shows the distribution of the sample proportion (p) values for 3 different sample sizes. Plot 1 1 2 3 + 0.2 Plot 2 0.2 0.2 Plot 3 0.4 0.1 0.05 0.025 0.4 0.4 COODOODONTO 25 100 ? 0.6 0.6 0.6 0.8 The table below contains standard deviations for each of the three plots. Plot Standard Deviation Sample Size 0.8 0.8 Q1: What do the dots (the observations) in each of the 3 plots represent? In other words, what are the values plotted in each dot plot? Q2: The sample size for Plot 3 is missing. Provide the missing sample size value (include supporting work). Q3: Describe what would happen to the distribution of the sample proportion values as the sample size becomes larger and larger. (Comment about the shape, center, and spread of the sampling distribution of the possible sample proportion values.)
Transcribed Image Text:Suppose the true population proportion is p = 0.5. The figure below shows the distribution of the sample proportion (p) values for 3 different sample sizes. Plot 1 1 2 3 + 0.2 Plot 2 0.2 0.2 Plot 3 0.4 0.1 0.05 0.025 0.4 0.4 COODOODONTO 25 100 ? 0.6 0.6 0.6 0.8 The table below contains standard deviations for each of the three plots. Plot Standard Deviation Sample Size 0.8 0.8 Q1: What do the dots (the observations) in each of the 3 plots represent? In other words, what are the values plotted in each dot plot? Q2: The sample size for Plot 3 is missing. Provide the missing sample size value (include supporting work). Q3: Describe what would happen to the distribution of the sample proportion values as the sample size becomes larger and larger. (Comment about the shape, center, and spread of the sampling distribution of the possible sample proportion values.)
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