Mathematics, 03.06.2021 02:50 itsyagirl11076

Ava's favorite candy is available with or without peanuts. She wonders if the color distribution is the same for both varieties, so she buys some bags of each variety (she's willing to treat these as separate random samples). Here is a summary of the candies in each sample and the results from a chi-squared test: Chi-square test: Color vs. variety
Peanuts No peanuts
Red 39 33
Expected 1771 34.91
Yellow 137 140
Expected 29.07 37.33
Green 126 23
Expected 25.24 13.76
X2 = 0.619, DF = 2. P-value = 0.734.

Assume that all conditions for inference were met.

At the alpha = 0.05 significance level, what is the most appropriate conclusion to draw from this test?

a. This is convincing evidence of an association between color and variety for these candles.
b. This is convincing evidence that the distribution of color differs between these varieties.
c. This isn’t enough evidence to say that the distribution of color differs between these varieties.
d. This isn’t enough evidence to say there is an association between color and variety for these candies.

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Ava's favorite candy is available with or without peanuts. She wonders if the color distribution is...

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