In a Shapiro-Wilk Test for Normality associated with a t-test performed, the p-value for group A is 0.054, while the p-value for group B is 0.15. Which of the following is true?Group of answer choicesThe normality assumption is met.The normality assumption is not met.Not enough information to conclude about normalityNo answer text provided.
Question
In a Shapiro-Wilk Test for Normality associated with a t-test performed, the p-value for group A is 0.054, while the p-value for group B is 0.15. Which of the following is true?Group of answer choicesThe normality assumption is met.The normality assumption is not met.Not enough information to conclude about normalityNo answer text provided.
Solution
The Shapiro-Wilk Test is used to check the normality of a dataset. The null hypothesis of this test is that the data is normally distributed. If the p-value is less than the chosen alpha level (typically 0.05), then the null hypothesis is rejected and there is evidence that the data tested are not normally distributed.
In this case, the p-value for group A is 0.054 and for group B is 0.15.
For group A, the p-value is slightly above 0.05, which means we would not reject the null hypothesis, and we would assume the data is normally distributed.
For group B, the p-value is significantly above 0.05, which means we would not reject the null hypothesis, and we would assume the data is normally distributed.
Therefore, the normality assumption is met for both groups.
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