selected. If the number of college graduates in the sample is anywhere from 3 to 7, we The proportion of adults living in a small town who are college graduates is estimated to be p= 0.5. To test this hypothesis, a random sample of 10 adults shall not reject the null hypothesis that p = 0.5; otherwise, we shall conclude that p#0.5. Complete parts (a) through (c) below. Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. Click here to view page 3 of the table of binomial probability sums. (a) Evaluate a assuming that p= 0.5. Use the binomial distribution.
selected. If the number of college graduates in the sample is anywhere from 3 to 7, we The proportion of adults living in a small town who are college graduates is estimated to be p= 0.5. To test this hypothesis, a random sample of 10 adults shall not reject the null hypothesis that p = 0.5; otherwise, we shall conclude that p#0.5. Complete parts (a) through (c) below. Click here to view page 1 of the table of binomial probability sums. Click here to view page 2 of the table of binomial probability sums. Click here to view page 3 of the table of binomial probability sums. (a) Evaluate a assuming that p= 0.5. Use the binomial distribution.
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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Transcribed Image Text:The proportion of adults living in a small town who are college graduates is estimated to be p = 0.5. To test this hypothesis, a random sample of 10 adults is selected. If the number of college graduates in the sample is anywhere from 3 to 7, we
shall not reject the null hypothesis that p = 0.5; otherwise, we shall conclude that p + 0.5. Complete parts (a) through (c) below.
Click here to view page 1 of the table of binomial probability sums.
Click here to view page 2 of the table of binomial probability sums.
Click here to view page 3 of the table of binomial probability sums.
(a) Evaluate a assuming that p = 0.5. Use the binomial distribution.
(Round to four decimal places as needed.)
Transcribed Image Text:Binomial Probability Sums b(1; n, p)
2-0
n r
0.10
0.20
0.25
0.30
0.40
0.50
0.60
0.70
0.80
0.90
0.4305
0.8131
8.
0.1678
0.5033
0.1001
0.0576
0.0168
0.0039
0.0007
0.0001
0.0000
1
0.3671
0.2553
0.1064
0.0352
0.0085
0.0013
0.0001
0.9619
0.7969
0.9437
0.6785
0.5518
0.3154
0.1445
0.0498
0.0113
0.0012
0.0000
0.9950
0.8862
0.9727
0.8059
0.5941
0.3633
0.1737
0.0580
0.0104
0.0004
0.9996
0.9896
0.9420
0.6367
0.4059
0.8263
0.9502
0.1941
0.0563
0.2031
0.4967
4.
0.0050
1.0000
0,9988
0,9958
0,9887
0.8555
0.6846
0.4482
0.0381
0.9999
1.0000
0.8936
0.7447
0.9424
6
0.9996
0.9987
0.9999
1.0000
0.9915
0.9993
1.0000
0.9648
0.9961
0.1869
0.5695
1.0000
1.0000
0.8322
1.0000
7
0.9832
1.0000
1.0000
1.0000
0.0404
0.1960
0.0020
0.0195
0.1342
0.0000
0.0004
0.3874
0.0751
0.3003
0.0101
0.0705
0.0003
0.7748
0.4362
0.0038
0.0000
0.0043
0.0253
0.0988
0.2703
0.7382
0.4628 0.2318 0.0898
0.7297
0.9470
0.6007
0.0250
0.0003
0.0000
3
0.9917
0.9144
0.8343
0.4826
0.2539
0.0994
0.2666
0.5174
0.0031
0.0001
0.9991
0.9999
4.
0.9804
0.9511
0.9012
0.7334
0.5000
0.0196
0.0009
0.9969
0.9900
0.9747
0.9006
0.7461
0.0856
0.0083
1.0000
0.9102
0.9997
1.0000
0.9987
0.9957
0.9750
0.7682
0.5372
0.2618
0.0530
0,9805
0.9980
7
0,9999
0.9996
0.9962
0.9295
0.8040
0.5638
0.2252
1.0000
1.0000
0.9997
0.9899
0.9596
0.8658
0.6126
1.0000
1.0000
1.0000
1.0000
1.0000
1.0000
10
0.3487
0.1074
0.0563
0.0282
0.0060
0.0010
0.0001
0.0000
0.0000
0.0001
0.7361
0.3758
0.2440
0.1493 0.0464
0.3828 0.1673 0.0547
0.3823
0.6331
1
0.0107
0.0017
0.0001
0.9298
0.9872
0.9984
0.6778 0.5256
0.7759
0.8791
0.9672
0.0123
0.0016
3
0.6496
0.1719
0.0548
0.0106
0.0009
0.0000
0.9219
0.8497
0.3770
0.1662
0.0473
0.0064
0.0001
0.9999
0.9936
0.9803
0.9527
0.8338
0.6230
0.3669
0.1503
0.0328
0.0016
6
1.0000
0.9452
0.8281
0.9991
0.9999
0.9965
0.9996
0.9894
0.9984
0.6177
0.8327
0.3504
0.1209
0.0128
7
0.9877
0.9453
0.6172
0.3222
0.0702
0.9983
O 0000
0.9893
0 0000
8
1.0000
1.0000
0.9999
0.9536
0 0010
0.8507
0 0718
0.6242
0.2639
O G512
1.0000
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