According to Benford's Law, also known as the first-digit law, many sets of data contain numbers that have a distribution of leading digits as outlined in the table. The test proportions represent the hypothesized distribution of the leading digits according to Benford's Law. The table displays a summary of observed counts of leading digits for a simple random sample of volumes of shares for 2085 stocks sold on April 28, 2017. Perform a chi-square goodness-of-fit test using this data. Leading digit Observed count Test proportion Expected count Contribution to chi-square 1 656 0.301 627.585 1.287 378 0.176 366.960 0.332 237 0.125 260.625 2.142 4. 203 0.097 202.245 0.003 159 0.079 164.715 0.198 164 0.067 139.695 4.229 110 0.058 120.930 0.988 8. 83 0.051 106.335 5.121 9. 95 0.046 95.910 0.009 Chi-square statistic: 14.307 Select the correct null hypothesis, Ho, and alternative hypothesis, H, for this chi-square test. H. The dato come from a nenulation that hac caualpronetionsofooch leaindii 10:42 AM SW 2019 4/16/2020 9ndwan H1: The sample data do not follow Benford's Law. Ho: The data come from a population that follows Benford's Law. H1: The data come from a population that does not follow Benford's Law. Determine the degrees of freedom, df, for this ch-square test. df = %3D Compute the P-value of the chi-square statistic, , using software. You may find software manuals helpful. Give your answer in decimal form with precision to four decimal places. P-value = Select the appropriate statement regarding the hypothesis test decision. Use a significance level of a = 0.05. O Fail to reject the null hypothesis because the P-value is greater than 0.025. O Fail to reject the null hypothesis because the P-value is greater than 0.05. O Reject the null hypothesis because the P-value is greater than 0.05. O Fail to reject the null hypothesis because the P-value is less than 0.05. Reiect the null hvpothesis because the P-value is less than 0.05.
According to Benford's Law, also known as the first-digit law, many sets of data contain numbers that have a distribution of leading digits as outlined in the table. The test proportions represent the hypothesized distribution of the leading digits according to Benford's Law. The table displays a summary of observed counts of leading digits for a simple random sample of volumes of shares for 2085 stocks sold on April 28, 2017. Perform a chi-square goodness-of-fit test using this data. Leading digit Observed count Test proportion Expected count Contribution to chi-square 1 656 0.301 627.585 1.287 378 0.176 366.960 0.332 237 0.125 260.625 2.142 4. 203 0.097 202.245 0.003 159 0.079 164.715 0.198 164 0.067 139.695 4.229 110 0.058 120.930 0.988 8. 83 0.051 106.335 5.121 9. 95 0.046 95.910 0.009 Chi-square statistic: 14.307 Select the correct null hypothesis, Ho, and alternative hypothesis, H, for this chi-square test. H. The dato come from a nenulation that hac caualpronetionsofooch leaindii 10:42 AM SW 2019 4/16/2020 9ndwan H1: The sample data do not follow Benford's Law. Ho: The data come from a population that follows Benford's Law. H1: The data come from a population that does not follow Benford's Law. Determine the degrees of freedom, df, for this ch-square test. df = %3D Compute the P-value of the chi-square statistic, , using software. You may find software manuals helpful. Give your answer in decimal form with precision to four decimal places. P-value = Select the appropriate statement regarding the hypothesis test decision. Use a significance level of a = 0.05. O Fail to reject the null hypothesis because the P-value is greater than 0.025. O Fail to reject the null hypothesis because the P-value is greater than 0.05. O Reject the null hypothesis because the P-value is greater than 0.05. O Fail to reject the null hypothesis because the P-value is less than 0.05. Reiect the null hvpothesis because the P-value is less than 0.05.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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Transcribed Image Text:According to Benford's Law, also known as the first-digit law, many sets of data contain numbers that have a distribution of
leading digits as outlined in the table. The test proportions represent the hypothesized distribution of the leading digits
according to Benford's Law.
The table displays a summary of observed counts of leading digits for a simple random sample of volumes of shares for
2085 stocks sold on April 28, 2017. Perform a chi-square goodness-of-fit test using this data.
Leading digit Observed count
Test proportion
Expected count
Contribution to chi-square
1
656
0.301
627.585
1.287
378
0.176
366.960
0.332
237
0.125
260.625
2.142
4.
203
0.097
202.245
0.003
159
0.079
164.715
0.198
164
0.067
139.695
4.229
110
0.058
120.930
0.988
8.
83
0.051
106.335
5.121
9.
95
0.046
95.910
0.009
Chi-square statistic: 14.307
Select the correct null hypothesis, Ho, and alternative hypothesis, H, for this chi-square test.
H. The dato come from a nenulation that hac caualpronetionsofooch leaindii
10:42 AM
SW
2019
4/16/2020
Transcribed Image Text:9ndwan
H1: The sample data do not follow Benford's Law.
Ho: The data come from a population that follows Benford's Law.
H1: The data come from a population that does not follow Benford's Law.
Determine the degrees of freedom, df, for this ch-square test.
df =
%3D
Compute the P-value of the chi-square statistic, , using software. You may find software manuals helpful. Give your
answer in decimal form with precision to four decimal places.
P-value =
Select the appropriate statement regarding the hypothesis test decision. Use a significance level of a = 0.05.
O Fail to reject the null hypothesis because the P-value is greater than 0.025.
O Fail to reject the null hypothesis because the P-value is greater than 0.05.
O Reject the null hypothesis because the P-value is greater than 0.05.
O Fail to reject the null hypothesis because the P-value is less than 0.05.
Reiect the null hvpothesis because the P-value is less than 0.05.
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