According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.78. Suppose that a random sample of 100 people is obtained. 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) Suppose the random sample of 100 people is asked, "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain OA. The response is qualitative because the number of people satisfied can be counted. OB. The response is quantitative because the number of people satisfied can be counted OC. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not OD. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. (b) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life Be sure to verify the model requirements with H Since the sample size is than 5% of the population size and np(1-p) = 210, the distribution of p is (Round to three decimal places as needed) (c) In the sample obtained in part (a), what is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.80? The probability that proportion who are satisfied with the way things are going in their life exceeds 0.80 is (Round to four decimal places as needed.) A and d p

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solve A) to C)

Standard Normal Distribution Table (page 1)
Area
N
72278 99933 77277 93937
0.00
0.0003
0.0005
10007
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
0.0446
0.0548
0.0668
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
0.0436
0.0537
0.0655
00703
0.02
0.0005
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
0.0427
0.0526
0.0643
Standard Normal Distribution
0.03
0.04
0.05
0.0003
0.0004
0.0006
0.0009
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
0.0418
0.0516
0.06.30
00764
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
0.03.29
0.0409
0.0505
0.0618
00740
0.0003
0.0004
0.0006
0.0008
0.0011
0.0016
0.0022
0.0030
0.0040
0.0054
0.0071
0.0094
0.0122
0.0158
0.0202
0.0256
0.0322
0.0401
0.0495
0.0606
00735
0.06
0.0003
0.0004
0.0006
0.0008
0.0011
0.0015
0.0021
0.0029
0.0039
0.0052
0.0069
0.0001
0.0119
0.0154
0.0197
0.0250
0.0314
0.0392
0.0485
0.0594
00721
1
0.07
0.0003
0.0004
0.0005
0.0008
0.0011
0.0015
0.0021
0.0028
0.0038
0.0051
0.0150
0.0192
0.08
0.0244
0.0307
0.0384
0.0475
0.0582
0.0003
0.0004
0.0005
0.0007
0.0010
0.0014
0.0020
0.0027
0.0068 0.0066
0.0089
0.0087
0.0116
0.0113
0.0037
0.0049
0.0146
0.0188
0.0239
0.0301
0.0375
0.0465
0.0571
0 0603
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
0.0004
0.0367
0.0455
0.0550
Þ
Transcribed Image Text:Standard Normal Distribution Table (page 1) Area N 72278 99933 77277 93937 0.00 0.0003 0.0005 10007 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 0.0446 0.0548 0.0668 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 0.0436 0.0537 0.0655 00703 0.02 0.0005 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 0.0427 0.0526 0.0643 Standard Normal Distribution 0.03 0.04 0.05 0.0003 0.0004 0.0006 0.0009 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 0.0418 0.0516 0.06.30 00764 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 0.03.29 0.0409 0.0505 0.0618 00740 0.0003 0.0004 0.0006 0.0008 0.0011 0.0016 0.0022 0.0030 0.0040 0.0054 0.0071 0.0094 0.0122 0.0158 0.0202 0.0256 0.0322 0.0401 0.0495 0.0606 00735 0.06 0.0003 0.0004 0.0006 0.0008 0.0011 0.0015 0.0021 0.0029 0.0039 0.0052 0.0069 0.0001 0.0119 0.0154 0.0197 0.0250 0.0314 0.0392 0.0485 0.0594 00721 1 0.07 0.0003 0.0004 0.0005 0.0008 0.0011 0.0015 0.0021 0.0028 0.0038 0.0051 0.0150 0.0192 0.08 0.0244 0.0307 0.0384 0.0475 0.0582 0.0003 0.0004 0.0005 0.0007 0.0010 0.0014 0.0020 0.0027 0.0068 0.0066 0.0089 0.0087 0.0116 0.0113 0.0037 0.0049 0.0146 0.0188 0.0239 0.0301 0.0375 0.0465 0.0571 0 0603 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 0.0004 0.0367 0.0455 0.0550 Þ
According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.78. Suppose that a random sample of 100 people is obtained. 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).
B
(a) Suppose the random sample of 100 people is asked, "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain.
O A. The response is qualitative because the number of people satisfied can be counted.
OB. The response is quantitative because the number of people satisfied can be counted
OC. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not.
OD. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not
(b) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements.
Since the sample size is
with μA
than 5% of the population size and np(1 - p) = 210, the distribution of pis
(Round to three decimal places as needed.)
(c) In the sample obtained in part (a), what is the probability that the proportion who are satisfied with the wa
The probability that proportion who are satisfied with the way things are going in their life exceeds 0.80 is
(Round to four decimal places as needed.)
=
and G
things are going in their life exceeds 0.80?
Р
=
Transcribed Image Text:According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.78. Suppose that a random sample of 100 people is obtained. 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). B (a) Suppose the random sample of 100 people is asked, "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain. O A. The response is qualitative because the number of people satisfied can be counted. OB. The response is quantitative because the number of people satisfied can be counted OC. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. OD. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not (b) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements. Since the sample size is with μA than 5% of the population size and np(1 - p) = 210, the distribution of pis (Round to three decimal places as needed.) (c) In the sample obtained in part (a), what is the probability that the proportion who are satisfied with the wa The probability that proportion who are satisfied with the way things are going in their life exceeds 0.80 is (Round to four decimal places as needed.) = and G things are going in their life exceeds 0.80? Р =
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