You may need to use the appropriate technology to answer this question. A sample of 15 consumers provided the following product ratings for three different products. Five consumers were randomly assigned to test and rate each product. Product A B 52 82 62 64 97 47 77 96 32 46 88 56 67 92 58 Use the Kruskal-Wallis test and a = 0.05 to determine whether there is a significant difference among the ratings for the products. State the null and alternative hypotheses. O H: Median, + Median, + Median. H: Median, = Median, = Median. O H: Not all populations of product ratings are identical. All populations of product ratings are identical. O Ho: All populations of product ratings are identical. H.: Not all populations of product ratings are identical. O Ho: Median, = Mediang = Median.

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A sample of 15 consumers provided the following product ratings for three different products. Five consumers were randomly assigned to test and rate each product.
Product
A
B
52
82
62
64
97
47
77
96
32
46
88
56
67
92
58
Use the Kruskal-Wallis test and a = 0.05 to determine whether there is a significant difference among the ratings for the products.
State the null and alternative hypotheses.
O H,: Median, * Median, + Median,
H: Median, = Median, = Median,
O H: Not all populations of product ratings are identical.
H: All populations of product ratings are identical.
O Ho: All populations of product ratings are identical.
H: Not all populations of product ratings are identical.
O Ho: Median, = Mediang = Medianc
H: Median, + Median, + Medianc
O Hg: Median, - Mediang = Medianc
H: Mediana < Mediang > Median,
Find the value of the test statistic.
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
O Reject H.. There is not sufficient evidence to conclude that there is a significant difference among the ratings for the products.
O Reject H,. There is sufficient evidence to conclude that there is a significant difference among the ratings for the products.
O Do not reject Hn. There is sufficient evidence to conclude that there is a significant difference among the ratings for the products.
O Do not reject H.. There is not sufficient evidence to conclude that there is a significant difference among the ratings for the products.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. A sample of 15 consumers provided the following product ratings for three different products. Five consumers were randomly assigned to test and rate each product. Product A B 52 82 62 64 97 47 77 96 32 46 88 56 67 92 58 Use the Kruskal-Wallis test and a = 0.05 to determine whether there is a significant difference among the ratings for the products. State the null and alternative hypotheses. O H,: Median, * Median, + Median, H: Median, = Median, = Median, O H: Not all populations of product ratings are identical. H: All populations of product ratings are identical. O Ho: All populations of product ratings are identical. H: Not all populations of product ratings are identical. O Ho: Median, = Mediang = Medianc H: Median, + Median, + Medianc O Hg: Median, - Mediang = Medianc H: Mediana < Mediang > Median, Find the value of the test statistic. Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject H.. There is not sufficient evidence to conclude that there is a significant difference among the ratings for the products. O Reject H,. There is sufficient evidence to conclude that there is a significant difference among the ratings for the products. O Do not reject Hn. There is sufficient evidence to conclude that there is a significant difference among the ratings for the products. O Do not reject H.. There is not sufficient evidence to conclude that there is a significant difference among the ratings for the products.
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