3. Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped the air from the room over a Petri dish at the mic of one cubic foot per minute for eight carpeted rooms and eight uncarpeted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. The readis are presented in the isble below. The data seem in be normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooma at the 0.05 level of significance ? Carpeted Rooms Uncarpeted Rooms (bacteria per cubic foot (bacteria per cubic foot] 118 10.B 12.1 170 8.2 10.1 8.3 11 1 7.1 14.6 10 1 130 14.0 7.2 13.7HYPOTHESIS TESTING TESTING TEMPLATE NAME Problem # 3 TYPE OF TEST : MEAN PROPORTION NUMBER OF POPULATIONS : ONE TWO SAMPLE SIZE : LARGE SMALL A, NULL HYPOTHESIS D. ALTERNATIVE HYPOTHESES HI : G. LEVEL OF SIGNIFICANCE : Alpha = IIf the Null Hypothesis is rejected, there is a chance that a wrong decision is being made. However, the chance of that error would be no more than D. TEST STATISTIC AND FORMULA : E. GRAPH OF THE DISTRIBUTION ( UNDER HA] WITH CRITICAL VALUE INDICATED AND REJECTION REGION SKETCHED : F. COMPUTATIONS : (Show in detail] G. COMPARISON OF COMPUTED VALLE OF TEST STATISTIC WITH CRITICAL VALUE : H : CONCLUSION : (A full sentence that you would tell somebody in layman's terms)