The data in the following table are data from the U. S. Census Bureau. These are the number of establishments divided into two groups - those which have 99 or fewer employees or those who have more than 99 employees. The establishments are also group by type of industry - manufacturing, trade, and service. Manufacturing Trade Services 0 to 99 Employees 907 2056 2273 100 or more Employees 44 34 42 a) The following is output from a chi-squared test of the hypothesis that the proportion of businesses with fewer than 100 employees is the same for all three industries. What conclusion can be made from this output? Chi-Square Test: Manufacturing, Trade, Services Expected counts are printed below observed counts Chi-Square contributions are printed below expected counts Manufacturing Trade Services Total 1 907 2056 2273 5236 929.69 2043.17 2263.13 0.554 0.081 0.043 2 44 34 42 120 21.31 46.83 51.87 24.169 3.513 1.877 Total 951 2090 2315 5356 Chi-Sq = 30.237 DF = 2 P-Value = 0.000 Choose the best answer from the following:

11 The data in the following table are data from the U. 5. Census Bureau. These are the number of establishments divided into two groups those which have 99 or fewer employees or those who have more than 99 employees. The establishments are also group by type of industry manufacturing, trade, and service. Manufacturing Trade Services 0 to 99 Employees 90? 2056 22?3 100 or more 44 34 42 Employees a] The following is output from a chisquared test of the hypothesis that the proportion of businesses with fewer than 100 employees is the same for all three industries. What conclusion can be made from this output? Chi-Square Test: Manufacturing, Trade, Services Expected counts are printed below observed counts ChiSquare contributions are printed below expected counts Manufacturing Trade Services Total 1 90? 2056 22?3 5236 929.69 2043.1? 2263.13 0.554 0.081 0.043 2 44 34 42 120 21.31 46.83 51.8? 24.169 3.513 1.8??? Total 951 2090 2315 5356 ChiSq = 30.23? DF = 2 PValue = 0.000 Choose the best answer from the following: O i] The hypothesis that the proportion of the rms with 0 to 99 employees in each of the three types of rm is the same is rejected since the p-value = 0.000 s .05. This means that the proportion with 0 to 99 employees is not the same in the three groups. 0 ii) The hypothesis that the proportion of the rms with 0 to 99 employees in each of the three types of rm is the same is rejected since the p-value = 0.000 s .05. This means that the proportion with 0 to 99 employees is larger in theTrade and Service groups than in the Manufacturing group. O iii] The hypothesis that the proportion of the rms with 0 to 99 employees in each of the three types of rm is the same is rejected since the p-value = 0.000 s .05. This means that the proportion with 0 to 99 employees is smaller in the Manufacturing and Trade groups than it is in the Services group. 0 iv] The hypothesis that the proportion of the rms with 0 to 99 employees in each of the three types of rm is the same is rejected since the p-value = 0.000 s .05. This means that the proportion with 0 to 99 employees is the same in all three groups