Acme Toy Companyprints 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=0.05level of significance.

Category ObservedFrequency ExpectedFrequency

Rookies 35

Veterans 100

All-Stars 15

Complete the table by calculating the expected frequencies.

1. What is the chi-square test statistic?Round to three decimal places.

2=

2.What are the degrees of freedom?

degrees of freedom =

3.What is thep-value for this sample?Round to four decimal places.

p-value =

4.Is thep-value less than?

Yes

No

5.Make a decision.

• Reject the null.
• Fail to reject the null.

3. Make a conclusion.

• There is not sufficient evidence to support the claim that Acme's distribution of baseball cards is a good fit.
• There is sufficient evidence to support the claim that Acme's distribution of baseball cards is a good fit.