Imagine you are an economist examining social class in the United States. Previous studies suggest that 0.20 Americans identify as "Lower Class," 0.60 identify as "Middle Class," and 0.20 identify as "Upper Class." You conduct a one-way chi-square goodness-of-fit test. What do you conclude based on the output below?

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Group of answer choices

Fail to reject the null that the distribution is 0.20, 0.60, and 0.20, respectively

Fail to reject the null that social class is independent

Reject the null that the distribution is 0.20, 0.60, and 0.20, respectively

Reject the null that social class is independent

Chi-squared test for given probabilities data: X X-squared = 3. 4074, df = 2, p-value = 0. 182 156 471 183 (162 .00) (486.00) (162.00) [0 . 22] [0 . 46] [2.72] key : observed (expected) [contribution to X-squared]