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week 4 e text - 7.47 110 30.250 79.750 210.250 21.74 35...

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Week 4 E-Text Assignment 1. A poll conducted last May people were asked whether the country is going in the wrong direction, 60% said yes, 25% said no, and 10% said neither or do not know and 5% did not respond. A poll conducted within the last month for a sample of 400 people produced the results in the table below. Test at 5% significance level the current percentage of people in the four categories is the same as May. Must show your work. Category Wrong Direction Not in the Wrong Direction Do not know Did not respond Number of People 230 110 35 25 H0: the current percentage of people in the four categories is the same as May. H1: The percentage of people in the four categories is different than May. a) Find the critical value b) Find the chi-square c) Do you accept or reject H0 and why Goodness of Fit Test observed expected O - E (O - E)² / E % of chisq 230 132.250 97.750 72.250
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Unformatted text preview: 7.47 110 30.250 79.750 210.250 21.74 35 3.063 31.938 333.063 34.44 25 1.563 23.438 351.563 36.35 400 167.125 232.875 967.125 100.00 Warning: sums should be equal. 967.13 chi-square 3 df 2.44E-209 p-value Chi-square Contingency Table Test for Independence Col 1 Col 2 Total Row 1 Observed 230 132 362 Expected 255.50 106.75 362.25 O - E -25.50 25.50 0.00 (O - E)² / E 2.54 6.09 8.64 Row 2 Observed 110 30 140 Expected 98.92 41.33 140.25 O - E 11.08 -11.08 0.00 (O - E)² / E 1.24 2.97 4.21 Row 3 Observed 35 3 38 Expected 26.85 11.22 38.06 O - E 8.15 -8.15 0.00 (O - E)² / E 2.48 5.93 8.40 Row 4 Observed 25 2 27 Expected 18.73 7.83 26.56 O - E 6.27 -6.27 0.00 (O - E)² / E 2.10 5.01 7.11 Total Observed 400 167 567 Expected 400.00 167.13 567.13 O - E 0.00 0.00 0.00 (O - E)² / E 8.36 20.00 28.36 28.36 chi-square 3 df 3.05E-06 p-value...
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