Acme Toy Company prints baseball cards. The company claims that 30% of the cards are rookies, 60% are veterans, and 10% are All-Stars. Suppose a random sample has the following cards. Test Acme's claim that the distribution is a good fit with the prints of baseball cards at an a = 0.05 level of significance. Observed Expected Frequency Category Frequency

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please answer a, b, c, and d

Acme Toy Company prints baseball cards. The company claims that 30% of the cards are rookies, 60% are
veterans, and 10% are All-Stars. Suppose a random sample has the following cards. Test Acme's claim that
the distribution is a good fit with the prints of baseball cards at an a = 0.05 level of significance.
Observed
Expected
Frequency
Category
Frequency
Rookies
35
Veterans
105
All-Stars
10
a. Complete the table by calculating the expected frequencies.
b. What is the chi-square test statistic? Round to three decimal places.
x² =
c. What are the degrees of freedom?
degrees of freedom =
d. What is the p-value for this sample? Round to four decimal places.
p-value =
e. Is the p-value less than a? ?
f. Make a decision.
O Reject the null.
O Fail to reject the null.
g. Make a conclusion.
O There is not sufficient evidence to support the claim that Acme's distribution of baseball cards
is a good fit.
O There is sufficient evidence to support the claim that Acme's distribution of baseball cards is a
good fit.
Transcribed Image Text:Acme Toy Company prints baseball cards. The company claims that 30% of the cards are rookies, 60% are veterans, and 10% are All-Stars. Suppose a random sample has the following cards. Test Acme's claim that the distribution is a good fit with the prints of baseball cards at an a = 0.05 level of significance. Observed Expected Frequency Category Frequency Rookies 35 Veterans 105 All-Stars 10 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. x² = c. What are the degrees of freedom? degrees of freedom = d. What is the p-value for this sample? Round to four decimal places. p-value = e. Is the p-value less than a? ? f. Make a decision. O Reject the null. O Fail to reject the null. g. Make a conclusion. O There is not sufficient evidence to support the claim that Acme's distribution of baseball cards is a good fit. O There is sufficient evidence to support the claim that Acme's distribution of baseball cards is a good fit.
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