A market research firm conducts telephone surveys with a 40% historical response rate. What is the probability that in a new sample of 400 telephone numbers, at least 150 individuals will cooperate a respond to the questions? In other words, what is the probability that the sample proportion will be at least 150/400 = .375 (to 4 decimals)? Use z-table.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Problem 1P
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100%
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.5080
.5319
.5359
5753
.0
5000
.5040
.5120
.5160
.5199
.5239
.5279
5398
5793
.1
.5438
.5478
.5517
5557
.5596
5636
.5675
5714
.2
.5832
.5871
5910
5948
5987
.6026
.6064
.6103
.6141
.3
6179
.6217
.6255
.6368
.6736
.6517
.6293
.6664
.6331
.6700
.6406
.6443
6480
.4
.6554
.6591
.6628
.6772
.6808
.6844
.6879
.5
6915
.6950
6985
.7019
.7054
.7088
.7123
.7157
.7190
.7224
.7257
7291
.7357
.7389
.7704
.7995
.7324
.7422
.7454
.7486
.7517
.7549
.7
7580
.7611
.7764
.8051
.7642
.7673
.7734
.7852
.7794
.8078
.7823
.8
.7881
.8106
.7910
.8186
.7939
.7967
.8023
.8133
.9
.8159
.8212
.8238
.8264
.8289
8315
.8340
.8365
.8389
.8531
.8749
1.0
.8413
.8438
.8461
.8485
.8508
.8554
.8577
.8599
.8810
.8621
1.1
.8643
.8665
.8686
.8708
.8729
8770
.8790
.8830
8888
.8907
.9015
.9177
.8925
.8944
.9115
1.2
.8849
.8869
.8962
.8980
.8997
1.3
.9032
9049
.9066
.9082
.9099
.9131
.9147
.9162
1.4
.9192
9207
9222
9236
.9251
.9265
.9279
.9292
.9306
9319
.9382
9332
9452
1.5
9345
.9357
.9370
.9394
.9406
.9418
9429
.9441
1.6
.9463
.9474
.9484
.9495
9505
9515
.9525
.9535
9545
9591
9554
.9641
1.7
.9564
.9573
.9582
.9599
.9608
.9616
9625
.9633
1.8
.9649
.9656
.9664
.9671
9678
.9686
9693
.9699
.9706
1.9
.9713
.9719
.9726
9732
9738
9744
9750
9756
9761
.9767
2.0
.9772
9778
9783
.9788
.9793
.9798
.9803
.9808
.9817
9857
.9812
9826
.9864
2.1
.9821
9830
9834
.9838
.9842
9846
.9850
9854
2.2
9868
.9871
.9875
9861
.9893
.9878
.9881
9909
.9884
9887
.9890
2.3
9896
.9898
.9901
.9904
.9906
.9911
9913
.9916
2.4
.9918
9920
.9922
.9925
.9927
.9929
.9931
9932
9934
9936
2.5
.9938
.9940
.9941
.9943
.9945
.9946
9948
9949
9951
9952
2.6
.9953
.9965
.9955
.9956
.9957
.9959
9960
.9961
9962
9963
9964
2.7
.9966
9967
.9968
.9969
.9970
9971
9972
9973
.9974
2.8
.9974
.9975
9976
9977
9977
9978
.9979
9979
9980
.9981
2.9
9981
.9982
9982
.9983
.9984
9984
9985
9985
9986
9986
3.0
9987
9987
.9987
.9988
9988
.9989
9989
9989
9990
.9990
Transcribed Image Text:.00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .5080 .5319 .5359 5753 .0 5000 .5040 .5120 .5160 .5199 .5239 .5279 5398 5793 .1 .5438 .5478 .5517 5557 .5596 5636 .5675 5714 .2 .5832 .5871 5910 5948 5987 .6026 .6064 .6103 .6141 .3 6179 .6217 .6255 .6368 .6736 .6517 .6293 .6664 .6331 .6700 .6406 .6443 6480 .4 .6554 .6591 .6628 .6772 .6808 .6844 .6879 .5 6915 .6950 6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 .7257 7291 .7357 .7389 .7704 .7995 .7324 .7422 .7454 .7486 .7517 .7549 .7 7580 .7611 .7764 .8051 .7642 .7673 .7734 .7852 .7794 .8078 .7823 .8 .7881 .8106 .7910 .8186 .7939 .7967 .8023 .8133 .9 .8159 .8212 .8238 .8264 .8289 8315 .8340 .8365 .8389 .8531 .8749 1.0 .8413 .8438 .8461 .8485 .8508 .8554 .8577 .8599 .8810 .8621 1.1 .8643 .8665 .8686 .8708 .8729 8770 .8790 .8830 8888 .8907 .9015 .9177 .8925 .8944 .9115 1.2 .8849 .8869 .8962 .8980 .8997 1.3 .9032 9049 .9066 .9082 .9099 .9131 .9147 .9162 1.4 .9192 9207 9222 9236 .9251 .9265 .9279 .9292 .9306 9319 .9382 9332 9452 1.5 9345 .9357 .9370 .9394 .9406 .9418 9429 .9441 1.6 .9463 .9474 .9484 .9495 9505 9515 .9525 .9535 9545 9591 9554 .9641 1.7 .9564 .9573 .9582 .9599 .9608 .9616 9625 .9633 1.8 .9649 .9656 .9664 .9671 9678 .9686 9693 .9699 .9706 1.9 .9713 .9719 .9726 9732 9738 9744 9750 9756 9761 .9767 2.0 .9772 9778 9783 .9788 .9793 .9798 .9803 .9808 .9817 9857 .9812 9826 .9864 2.1 .9821 9830 9834 .9838 .9842 9846 .9850 9854 2.2 9868 .9871 .9875 9861 .9893 .9878 .9881 9909 .9884 9887 .9890 2.3 9896 .9898 .9901 .9904 .9906 .9911 9913 .9916 2.4 .9918 9920 .9922 .9925 .9927 .9929 .9931 9932 9934 9936 2.5 .9938 .9940 .9941 .9943 .9945 .9946 9948 9949 9951 9952 2.6 .9953 .9965 .9955 .9956 .9957 .9959 9960 .9961 9962 9963 9964 2.7 .9966 9967 .9968 .9969 .9970 9971 9972 9973 .9974 2.8 .9974 .9975 9976 9977 9977 9978 .9979 9979 9980 .9981 2.9 9981 .9982 9982 .9983 .9984 9984 9985 9985 9986 9986 3.0 9987 9987 .9987 .9988 9988 .9989 9989 9989 9990 .9990
A market research firm conducts telephone surveys with a 40% historical response rate. What is the probability that in a new sample of 400 telephone numbers, at least 150 individuals will cooperate and
respond to the questions? In other words, what is the probability that the sample proportion will be at least 150/400 = .375 (to 4 decimals)? Use z-table.
Transcribed Image Text:A market research firm conducts telephone surveys with a 40% historical response rate. What is the probability that in a new sample of 400 telephone numbers, at least 150 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 150/400 = .375 (to 4 decimals)? Use z-table.
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