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The table to the right shows the medal count for three countries following an international athletic Medal event. Country Gold Silver Bronze Complete parts a.

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The table to the right shows the medal count for three countries following an international athletic Medal event. Country Gold Silver Bronze Complete parts a. through c. below. A 8 14 13 9 14 8 14 5 a. Using a = 0.05, perform a chi-square test to determine if the type of medal and the country that earned it are independent of one another. Identify the null and alternative hypotheses for a chi-square test of independence based on the information in the table. Choose the correct answer below. O A. Ho: Type of medal and country that earned it are independent of one another. H1 : The type of medal affects the country that earned it. O B. Ho: Type of medal and country that earned it are independent of one another. H1: Type of medal and country that earned it are not independent of one another. O C. Ho: Type of medal and country that earned it are not independent of one another. H1: Type of medal and country that earned it are independent of one another. O D. Ho: Type of medal and country that earned it are independent of one another. H1: The country that earns the medal affects the type of medal. Find the chi-square test statistic. x2 = (Round to two decimal places as needed.) Using a = 0.05, find the chi-square critical value, Xa xa =(Round to two decimal places as needed.) Determine the result of the test. Choose the correct answer below. A. Reject Ho. The test statistic falls into the rejection region. O B. Reject Ho. The test statistic does not fall into the rejection region. O C. Fail to reject Ho. The test statistic does not fall into the rejection region. O D. Fail to reject Ho. The test statistic falls into the rejection region. b. What conclusions can be made based on these results? There is evidence to indicate that c. Determine the p-value using technology and interpret its meaning. p-value = (Round to three decimal places as needed.)

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