(c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) and OA. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between OB. We are 95% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 499 and 531

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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A random sample of 1008 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1008 adults surveyed, 519 indicated
that televisions are a luxury they could do without. Complete parts (a) through (e) below.
Click here to view the standard normal distribution table (page 1)
Click here to view the standard normal distribution table (page 2).
(a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without.
= 515
p=
(Round to three decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about p are satisfied
The sample
is stated to be a simple random sample, the value of np (1-p) is 251.773, which is greater than or equal to 10, and the
can be assumed to be less than or equal to 5% of the population size
(Round to three decimal places as needed.)
sample size
(c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below
and fill in any answer boxes within your choice.
(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)
OA. There is a
% probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between
B. We are 95% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 499 and 531
and
Transcribed Image Text:A random sample of 1008 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1008 adults surveyed, 519 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2). (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. = 515 p= (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied The sample is stated to be a simple random sample, the value of np (1-p) is 251.773, which is greater than or equal to 10, and the can be assumed to be less than or equal to 5% of the population size (Round to three decimal places as needed.) sample size (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) OA. There is a % probability the proportion of adults in the country who believe that televisions are a luxury they could do without is between B. We are 95% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is between 499 and 531 and
Standard Normal Distribution Table (page 1)
Area
-34
-3.3
-3.2
-2.1
-1.9
-1.8
0,00
0.0003
0.0005
0.0007
0.0010
0.0013
0.0019
0.0026
0.0035
0.0047
0.0062
0.0082
0.0107
0.0139
0.0179
0.0228
0.0287
0.0359
0.01
0.0003
0.0005
0.0007
0.0009
0.0013
0.0018
0.0025
0.0034
0.0045
0.0060
0.0080
0.0104
0.0136
0.0174
0.0222
0.0281
0.0351
0.02
0.0003
0.0005
0.0006
0.0009
0.0013
0.0018
0.0024
0.0033
0.0044
0.0059
0.0078
0.0102
0.0132
0.0170
0.0217
0.0274
0.0344
Standard Normal Distribution
0.03
0.04
0.05
0.0003
0.0004
0.0006
0.0000
0.0012
0.0017
0.0023
0.0032
0.0043
0.0057
0.0075
0.0099
0.0129
0.0166
0.0212
0.0268
0.0336
0.0003
0.0004
0.0006
0.0008
0.0012
0.0016
0.0023
0.0031
0.0041
0.0055
0.0073
0.0096
0.0125
0.0162
0.0207
0.0262
0.0329
0.0003
0.0004
0.0006
0.0008
0.0011
0.0040
0.0054
0.0071
0.0094
0.0122
0.0158
0.0202
0.06
0.0016
0.0015
0.0022 0.0021
0.0030
0.0029
0.0039
0.0052
0.0256
0.0322
0.0003
0.0004
0.0006
0.0008
0.0011
0.0069
0.0091
0.01 19
0.0154
0.0197
0.0250
0.0314
0.07
0.0003
0.0004
0.0005
0.0008
0.0011
0.0015
0.0021
0.0028
0.0038
0.0051
0.0068
0.0089
0.0116
0.0150
0.0192
0.0244
0.0307
0.08
0.0003
0.0004
0.0005
0.0007
0.0010
0.0014
0.0020
0.0027
0.0037
0.0049
0.0066
0.0087
0.0113
0.0146
0.0188
0.0239
0.0301
0.09
0.0002
0.0003
0.0005
0.0007
0.0010
0.0014
0.0019
0.0026
0.0036
0.0048
0.0064
0.0084
0.0110
0.0143
0.0183
0.0233
0.0294
n
I
Transcribed Image Text:Standard Normal Distribution Table (page 1) Area -34 -3.3 -3.2 -2.1 -1.9 -1.8 0,00 0.0003 0.0005 0.0007 0.0010 0.0013 0.0019 0.0026 0.0035 0.0047 0.0062 0.0082 0.0107 0.0139 0.0179 0.0228 0.0287 0.0359 0.01 0.0003 0.0005 0.0007 0.0009 0.0013 0.0018 0.0025 0.0034 0.0045 0.0060 0.0080 0.0104 0.0136 0.0174 0.0222 0.0281 0.0351 0.02 0.0003 0.0005 0.0006 0.0009 0.0013 0.0018 0.0024 0.0033 0.0044 0.0059 0.0078 0.0102 0.0132 0.0170 0.0217 0.0274 0.0344 Standard Normal Distribution 0.03 0.04 0.05 0.0003 0.0004 0.0006 0.0000 0.0012 0.0017 0.0023 0.0032 0.0043 0.0057 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 0.0003 0.0004 0.0006 0.0008 0.0012 0.0016 0.0023 0.0031 0.0041 0.0055 0.0073 0.0096 0.0125 0.0162 0.0207 0.0262 0.0329 0.0003 0.0004 0.0006 0.0008 0.0011 0.0040 0.0054 0.0071 0.0094 0.0122 0.0158 0.0202 0.06 0.0016 0.0015 0.0022 0.0021 0.0030 0.0029 0.0039 0.0052 0.0256 0.0322 0.0003 0.0004 0.0006 0.0008 0.0011 0.0069 0.0091 0.01 19 0.0154 0.0197 0.0250 0.0314 0.07 0.0003 0.0004 0.0005 0.0008 0.0011 0.0015 0.0021 0.0028 0.0038 0.0051 0.0068 0.0089 0.0116 0.0150 0.0192 0.0244 0.0307 0.08 0.0003 0.0004 0.0005 0.0007 0.0010 0.0014 0.0020 0.0027 0.0037 0.0049 0.0066 0.0087 0.0113 0.0146 0.0188 0.0239 0.0301 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294 n I
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