You may need to use the appropriate technology to answer this question. A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times (in hours) required for each of 18 evaluators to conduct a program evaluation follow. Method 1 Method 2 Method 3 68 64 58 71 73 65 69 79 66 77 68 55 75 74 56 74 70 64 Use a = 0.05 and test to see whether there is a significant difference in the time required by the three methods. State the null and alternative hypotheses. O Ho: Not all populations of times are identical. H: All populations of times are identical. Ho: All populations of times are identical. H: Not all populations of times are identical. O Ho: Median = Median = Median3 H: Median > Median 2 > Median 3 = Ho: Median, Median₂ = Median 3 Median2 # Median 3 H: Median, O Ho: Median, Median, + Median3 U. Madian Type here to search Madina -Madin L zoom 72°F (4) 3:37 PM 5/9/2024 10 8 there is a significant difference in the time required by the three methods. State the null and alternative hypotheses. O Ho: Not all populations of times are identical. H: All populations of times are identical. Ho : All populations of times are identical. H₂: : Not all populations of times are identical. O Ho: Median₁ = Median2 = Median3 H: Median > Median2 > Median3 O Ho: Median₁ = Median2 = Median 3 H: Median, Median2 # Median 3 O Ho: Median, Median2 # Median 3 Ha Median₁ = Median2 = Median3 Find the value of the test statistic. (Round your answer to two decimal places.) 11.82 Find the p-value. (Round your answer to three decimal places.) p-value State your conclusion. D Reject Ho. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. ◇ Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. ◇ Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. Type here to search L W NEW 72°F