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 30 Veterans 105 All-Stars 15 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. 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. OThere is not sufficient evidence to support the claim that Acme's distribution of baseball cards is a good fit. OThere is sufficient evidence to support the claim that Acme's distribution of baseball cards is a good fit.
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 30 Veterans 105 All-Stars 15 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. 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. OThere is not sufficient evidence to support the claim that Acme's distribution of baseball cards is a good fit. OThere is sufficient evidence to support the claim that Acme's distribution of baseball cards is a good fit.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 Frequency
Category
Rookies
30
Veterans
105
All-Stars
15
a. Complete the table by calculating the expected frequencies.
b. What is the chi-square test statistic? Round to three decimal places.
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.
OThere is sufficient evidence to support the claim that Acme's distribution of baseball cards is a
good fit.
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