Since the calculated P-value of 0.033908 (rows) and 0.038462 (columns) are less compared to the critical value of 0.05, and therefore the null hypothesis has to be accepted by rejecting the alternate hypothesis. That’s why, we conclude to say that the null hypothesis is not significant and the alternate hypothesis is considered as being statically significant because the mean for the amount of dirt removed by the two brand of laundry detergent and the water temperature at three different conditions (cold, warm & hot) are not equal, they ranges from 22-36 and 11, 21 & 26 respectively, which are all different. On the other hand, for the F-value, both calculated F-value of 28 (rows) and 25 (columns) is greater than the f-critical value of 18.512821 and 19 respectively. Therefore, we say that the alternate hypothesis will be accepted and the null hypothesis will be rejected.
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Since the P-values for both the rows and the columns (0.033908 and 0.038462, respectively) are lower than the critical value of 0.05, we can conclude that the null hypothesis should be accepted, and the alternative hypothesis should be rejected. Therefore, the null hypothesis is not significant, and the alternative hypothesis is considered to be statistically significant, as the mean values for the amount of dirt removed by the two brands of laundry detergent and the water temperature at three different conditions (cold, warm, and hot) are not equal. These mean values range from 22-36 for the amount of dirt removed and 11, 21, and 26 for the different water temperatures, which are all different. Additionally, both the calculated F-values (28 for rows and 25 for columns) are greater than the critical F-value of 18.512821 and 19, respectively. Therefore, we can conclude that the alternate hypothesis will be accepted, and the null hypothesis will be rejected.
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