Suppose Nathan, an avid baseball card collector, is interested in studying the p

Question

Suppose Nathan, an avid baseball card collector, is interested in studying the proportions of common, uncommon, and rare baseball cards found in newly purchased card packs. Each card pack contains exactly 10 baseball cards. The fine print on each pack of cards says that, on average, 70% of the cards in each pack are common, 20% are uncommon, and 10% are rare. Nathan wishes to test the validity of this claimed distribution, so he randomly selects 20 packs of baseball cards and looks at the rarity of each of the 200 total cards. To determine if the distribution of rarity levels in his sample is significantly different than the distribution claimed on the card packs, Nathan decides to perform a chi-square test for goodness-of-fit. His results are shown in the table. What is the p-value for Nathans chi-square test for goodness-of-fit?

Explanation / Answer

for above test stat 1.4143 and 2 degree of freedom with the help of chi square table ; p value =0.493

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