Construct a 95% confidence interval of the population proportion using the given information. x=80, n=200 Click here to view the table of critical values. The lower bound is. The upper bound is (Round to three decimal places as needed.) Table of critical values Level of Confidence, (1a) 100% 90% 99% Area in Each Tail, Print 0.05 0.025 0.005 Done (...) Critical Value, 1.645 1.96 2.575 X
Construct a 95% confidence interval of the population proportion using the given information. x=80, n=200 Click here to view the table of critical values. The lower bound is. The upper bound is (Round to three decimal places as needed.) Table of critical values Level of Confidence, (1a) 100% 90% 99% Area in Each Tail, Print 0.05 0.025 0.005 Done (...) Critical Value, 1.645 1.96 2.575 X
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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Question
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Transcribed Image Text:Construct a 95% confidence interval of the population proportion using the given information.
x = 80, n = 200
Click here to view the table of critical values.
The lower bound is
The upper bound is
(Round to three decimal places as needed.)
Table of critical values
Level of Confidence,
(1 - a). 100%
90%
95%
99%
Print
Area in Each Tail,
0.05
0.025
0.005
Done
C
Critical Value, z
1.645
1.96
2.575
X

Transcribed Image Text:A survey of 2316 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 408 have donated blood in the past two years. Complete parts (a) through (c) 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 aged 18 and older who have donated blood in the past two years.
p= 0.176
(Round to three decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about p are satisfied.
The sample
▼a simple random sample, the value of
(Round to three decimal places as needed.)
▼is, which is
Area
Standard Normal Distribution Table (page 1)
z
-3.4
-33
-3.2
-31
-3.0
-2.9
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-2.1
-2.0
-1.9
-1.8
-1.7
-1.6
-1.5
-1.4
-1.3
-1.2
-1.1
-1.0
-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.2
-0.1
-0.0
z
0.00
0.01
0.0003 0.0003 0.0003
0.0005 0.0005 0.0005
0.0007 0.0007 0.0006
0.0010 0.0009 0.0009
0.0013
0.0013 0.0013
0.0019 0.0018 0.0018 0.0017
0.0026 0.0025 0.0024
0.0035 0.0034
0.0023
0.0032
0.0033
0.0047
0.0062
0.0082
0.0107
0.0139 0.0136
0.0179
0.0228
0.0287
0.0359
0.0446
0.0548
0.0668
0.0045
0.0060
0.0080
0.0104
0.3446
0.3821
0.4207
0.4602
0.5000
0.00
0.0537
0.0655
0.0793
0.0968 0.0951
0.1131
0.0808
0.1151
0.1357
0.1335
0.1587 0.1562
0.1841 0.1814
0.2119 0,2090
0.2420 0.2389
0.2743 0.2709
0.3050
0.3409
0.3085
0.0281
0.0351
0.0436
▼10, and the
0.02
0.0174 0.0170
0.0222 0.0217
0.4562
0.4960
0.01
0.0044
0.0059
G
0.0078
0.0102
0.0132
0.3372
0.3783 0.3745
0.4168 0.4129
Standard Normal Distribution
0.03
0.04
0.05
0.06
0.0003
0.0003
0.0003 0.0003 0.0003
0.0004 0.0004 0.0004 0.0004 0.0004
0.0006 0.0006 0.0006 0.0006 0.0005
0.0009 0.0008 0.0008 0.0008 0.0008
0.0012 0.0012 0.0011 0.0011 0.0011
0.0016
0.0016
0.0015 0.0015
0.0023 0.0022
0.0021
0.0021
0.0031
0.0030
0.0029
0.0028
0.0039
0.0038
0.0052
0.0051
0.4522
0.4920
0.02
0.0043
0.0057
0.0274
0.0344
0.0427
0.0526 0.0516
0.0643
0.0630
0.0075
0.0099
0.0129
0.0166
0.0212
0.0268
0.0336
0.0418
0.0778 0.0764
0.0934
0.1112
0.1314
0.1539
0.1788 0.1762
0.2061 0.2033
0.2358 0.2327
0.2676
0.3015
0.1292
0.1515
0.0749
0.0918 0.0901
0.1075
0.1271
0.1093
0.1492
0.0041
0.0055
0.3336
0.3707
0.4090
0.4483
0.4880
0.03
0.0162
0.0207
0.0073
0.0071
0.0069
0.0096 0.0094 0.0091
0.0125 0.0122 0.0119 0.0116
0.0158 0.0154 0.0150
0.0202 0.0197 0.0192
0.0262
0.0329
0.0409
0.0505
0.0618
0.2296
0.2643 0.2611
0.2946
0.2981
0.0040
0.0054
0.3300
0.3669
0.4052
0.4443
0.4840
0.04
0.0256
0.0322
0.0401
0.0495
0.0606
0.0735
0.0721
0.0708
0.0869
0.0853
0.0885
0.1056
0.1020
0.1423
0.1038
0.1251 0.1230 0.1210
0.1469
0.1446
0.1711 0.1685
0.2005 0.1977 0.1949
0.2266
0.2578
0.2912
0.1736
0.2206
0.2236
0.2546 0.2514
0.2877 0.2843
0.3264
0.3632
0.4013
0.07
0.4404
0.4801
0.05
0.3228
0.3594
0.3974
0.4364
0.4761
0.06
0.1660
0.1922
0.3192
0.3557
0.3936
0.08
0.0068
0.0066
0.0089 0.0087
0.0113
0.4325
0.4721
0.0003
0.0004
0.0250
0.0314
0.0244 0.0239
0.0307 0.0301
0.0392 0.0384 0.0375
0.0475
0.0485
0.0594
0.0582
0.07
0.0005
0.0007
0.0010
0.0014
0.0020
0.0027
0.0037
0.0049
0.0146
0.0188
0.0465
0.0571
0.0694
0.0838
0.1003
0.1190
0.1401
0.1635
0.1894
0.2177
0.2483
0.2810
0.3156
0.3520
0.3897
0.4286
0.4681
0.08
less than or equal to 5% of the
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
0.0367
0.0455
0.0559
0.0681
0.0823
0.0985
0.1170
0.1379
0.1611
0.1867
0.2148
0.2451
0.2776
0.3121
0.3483
0.3859
0.4247
0.4641
0.09
Q
X
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