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A sampling distribution is shown for the proportion of US citizens over 15 years old who have never been married, using the data from the 2010 US Census and random samples of size n = 500. 0.26 0.28 (1) What does one dot in the dotplot represent? 0.30 0.32 0.34 0.36 p=0.30 p=0.20 (2) Use the sampling distribution to estimate the proportion of all US citizens over 15 years old who have never been married. Give correct notation for your answer. 0.38 (3) If we take a random sample of 500 US citizens over 15 years old and compute the proportion of the sample who have never been married, indicate how likely it is that we will see that result for each sample proportion below. p=0.37 p=0.74

A sampling distribution is shown for the proportion of US citizens over 15 years old who have never been married, using the data from the 2010 US Census and random samples of size n = 500. 0.26 0.28 (1) What does one dot in the dotplot represent? 0.30 0.32 0.34 0.36 p=0.30 p=0.20 (2) Use the sampling distribution to estimate the proportion of all US citizens over 15 years old who have never been married. Give correct notation for your answer. 0.38 (3) If we take a random sample of 500 US citizens over 15 years old and compute the proportion of the sample who have never been married, indicate how likely it is that we will see that result for each sample proportion below. p=0.37 p=0.74

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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A sampling distribution is shown for the proportion of US citizens over 15 years old who have never been married, using the data from the 2010 US Census and random samples of size n = 500. 0.26 0.28 0.30 0.32 (1) What does one dot in the dotplot represent? 0.34 0.36 (2) Use the sampling distribution to estimate the proportion of all US citizens over 15 years old who have never been married. Give correct notation for your answer. (3) If we take a random sample of 500 US citizens over 15 years old and compute the proportion of the sample who have never been married, indicate how likely it is that we will see that result for each sample proportion below. p= 0.30 p=0.20 p=0.37 (4) Estimate the standard error of the sampling distribution. 0.38 p = 0.74 (b) Would the standard error be larger or smaller? 3 (5) If we took samples of size 1000 instead of 500, and used the sample proportions to estimate the population proportion: (a) Would the estimates be more accurate or less accurate?
Transcribed Image Text:A sampling distribution is shown for the proportion of US citizens over 15 years old who have never been married, using the data from the 2010 US Census and random samples of size n = 500. 0.26 0.28 0.30 0.32 (1) What does one dot in the dotplot represent? 0.34 0.36 (2) Use the sampling distribution to estimate the proportion of all US citizens over 15 years old who have never been married. Give correct notation for your answer. (3) If we take a random sample of 500 US citizens over 15 years old and compute the proportion of the sample who have never been married, indicate how likely it is that we will see that result for each sample proportion below. p= 0.30 p=0.20 p=0.37 (4) Estimate the standard error of the sampling distribution. 0.38 p = 0.74 (b) Would the standard error be larger or smaller? 3 (5) If we took samples of size 1000 instead of 500, and used the sample proportions to estimate the population proportion: (a) Would the estimates be more accurate or less accurate?
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of US Citizens 15 years old who have never been married based a sample size of 500. a. What does one dot in the sampling Represents the sample proportion b. What does the 0.32 in the middle of the distribution represent? The estimated proportion who have been married is of all us Citizens over 1: 0.32 which is the midd the distribution. It's the population proportion de by P. c. If we took samples of size 1000 instead of 500, and used the sample proportions to estimate the population proportion: Would the estimates be more accurate or less accurate? Would the sampling distribution be wider or narrower? Would the standard error be larger or smaller?
Transcribed Image Text:of US Citizens 15 years old who have never been married based a sample size of 500. a. What does one dot in the sampling Represents the sample proportion b. What does the 0.32 in the middle of the distribution represent? The estimated proportion who have been married is of all us Citizens over 1: 0.32 which is the midd the distribution. It's the population proportion de by P. c. If we took samples of size 1000 instead of 500, and used the sample proportions to estimate the population proportion: Would the estimates be more accurate or less accurate? Would the sampling distribution be wider or narrower? Would the standard error be larger or smaller?
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