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 α=0.05 level of significance. Category Observed Frequency Expected Frequency Rookies 35   Veterans 100   All-Stars 15   Complete the table by calculating the expected frequencies.  What is the chi-square test statistic? Round to three decimal places. χ2=  What are the degrees of freedom? degrees of freedom =

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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 α=0.05 level of significance.

Category Observed
Frequency
Expected
Frequency

Rookies

35  
Veterans 100  
All-Stars 15  
  1. Complete the table by calculating the expected frequencies. 

  2. What is the chi-square test statistic? Round to three decimal places.
    χ2= 

  3. What are the degrees of freedom?
    degrees of freedom = 

  4. What is the pp-value for this sample? Round to four decimal places.
    p-value = 

  5. Is the pp-value less than αα?    

  6. Make a decision.
    • Reject the null.
    • Fail to reject the null.


  7. 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.
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