Compute the ?-value of the chi-square statistic, ?2, using software. Give your answer in decimal form with precision to four decimal places. According to Benford's Law, also known as the first-digit law, many sets of data contain numbers that have a distributionof leading digits as outlined in the table. The test proportions represent the hypothesized distribution of the leading digitsaccording to Benford's Law.The table displays a summary of observed counts of leading digits for a simple random sample of 2011 diabetesincidences for 300 U.S. counties. Perform a chi-square goodness-of-fit test using this data.Leading digit Observed count Test proportion Expected count Contribution to chi-square1940.30190.30.1522560.17652.80.1943310.12537.51.1274270.09729.10.1525270.07923.70.459220.06720.10.187180.05817.40.0218120.05115.30.7129130.04613.80.046Chi-square statistic: 3.042

Given data, Digit Observed Test proportion 1 94 0.301 2 56 0.176 3 31…

Answered: Compute the ?-value of the chi-square…

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Compute the ?-value of the chi-square statistic, ?2, using software. Give your answer in decimal form with precision to four decimal places.

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 2011 diabetes
incidences for 300 U.S. counties. Perform a chi-square goodness-of-fit test using this data.
Leading digit Observed count Test proportion Expected count Contribution to chi-square
1
94
0.301
90.3
0.152
2
56
0.176
52.8
0.194
3
31
0.125
37.5
1.127
4
27
0.097
29.1
0.152
5
27
0.079
23.7
0.459
22
0.067
20.1
0.18
7
18
0.058
17.4
0.021
8
12
0.051
15.3
0.712
9
13
0.046
13.8
0.046
Chi-square statistic: 3.042

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Compute the ?-value of the chi-square statistic, ?^2. Give your answer in decimal form with precision to four decimal places.

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Compute the P- value of the chi-square statistic, X^2, using software. You may find software manuals helpful. Give your answer in decimal form with precision to four decimal places.

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