Question

1/30/2019 18. A certain type of candy is reported to be distributed with the color percentages shown in the table below. The number of each color in a random bag of candy is also shown below. Use the chi-square goodness-of-fit test to decide whether the color distribution differs from the reported distribution. Use a = 0.05. Red Brown Blue 12 14 Color Percentage Frequency Green 17 Orange Yellow 1915 238 23 30 156 22 Determine the null and alternative hypotheses. Choose the correct answer below. O O A. Ho: The frequency is different for each color. H: The frequency is the same for each color. B. Ho: The color distribution is the same as that reported He: The color distribution is different from that reported O c. Ho: The frequency is the same for each color. Ha: The frequency is different for each color. D. Ho: The color distribution is different from that reported. Ha: The color distribution is the same as that reported. O Compute the value of the test statistic, x?. x2 = (Round to three decimal places as needed.) Identify the critical value. The critical value is (Round to three decimal places as needed.) Do the data provide sufficient evidence to conclude that the color distribution differs from the reported distributic O A. Yes, because there is sufficient evidence to reject the null hypothesis. OB. No, because there is sufficient evidence to reject the null hypothesis. OC. Yes, because there is not sufficient evidence to reject the null hypothesis. OD. No, because there is not sufficient evidence to reject the null hypothesis.

Answer 1

Thank you.

Solution; → from the given nformation. • The Statistic software output for this problem is; >chi squane goodness -o6-fit resulES; Obsenved :0 Expected : E P-value chi-square Df 0.0694 10.212715 104 expected Observed 22 17.68 19.76 23 15.6 8. 23.92 30 15 14.56 12.48 6. > option B → Test statistics is Ž 10.213 -> 2. Critical Value =11.070 Option 'D'.