Carrying Out a Chi-Square Test for Goodness of Fit

AP Statistics· difficulty 2/5

A chi-square goodness-of-fit test yields chi-square = 5.6 with df = 4 and p-value = 0.231 at alpha = 0.05.

What is the correct conclusion?

A
$Fail to reject H0; insufficient evidence to conclude observed counts differ from claimed distribution$
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B
$Reject H0; the distribution matches$
C
$Reject H0; the distribution differs$
D
$Accept the alternative$

Explanation

Since p-value (0.231) > alpha (0.05), fail to reject H0. There is not enough evidence to conclude the observed counts differ from the hypothesized distribution.

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