A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored...


A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16%<br>green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the<br>table. Test whether the bag of colored candies follows the distribution stated above at a = 0.05 level of significance. Using the level of significance<br>a = 0.05, test whether the color distribution is the same.<br>Click here to view the table. Click here to view the table of critical values of the chi-square distribution.<br>Determine the null and alternative hypotheses. Choose the correct answer below.<br>O A. Ho: The distribution of colors is the same as stated by the manufacturer.<br>H,: The distribution of colors is not the same as stated by the manufacturer.<br>B. Ho: The distribution of colors is at most as uniform as stated by the manufacturer.<br>H,: The distribution of colors is more uniform than stated by the manufacturer.<br>O C. Ho: The distribution of colors is at least as uniform as stated by the manufacturer.<br>H,: The distribution of colors is less uniform than stated by the manufacturer.<br>O D. Ho: The distribution of colors is not the same as stated by the manufacturer.<br>H,: The distribution of colors is the same as stated by the manufacturer.<br>Compute the expected counts for each color.<br>Color<br>Frequency<br>Expected Count<br>Brown<br>61<br>Yellow<br>63<br>Red<br>54<br>Blue<br>61<br>Orange<br>85<br>Green<br>64<br>(Round to two decimal places as needed.)<br>What is the test statistic?<br>(Round to three decimal places as needed.)<br>What is the range of P-values of the test?<br>The range of P-values of the test is<br>Based on the results, do the colors follow the same distribution as stated in the problem?<br>

Extracted text: A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of colored candies. He counted the number of candies of each color and obtained the results shown in the table. Test whether the bag of colored candies follows the distribution stated above at a = 0.05 level of significance. Using the level of significance a = 0.05, test whether the color distribution is the same. Click here to view the table. Click here to view the table of critical values of the chi-square distribution. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The distribution of colors is the same as stated by the manufacturer. H,: The distribution of colors is not the same as stated by the manufacturer. B. Ho: The distribution of colors is at most as uniform as stated by the manufacturer. H,: The distribution of colors is more uniform than stated by the manufacturer. O C. Ho: The distribution of colors is at least as uniform as stated by the manufacturer. H,: The distribution of colors is less uniform than stated by the manufacturer. O D. Ho: The distribution of colors is not the same as stated by the manufacturer. H,: The distribution of colors is the same as stated by the manufacturer. Compute the expected counts for each color. Color Frequency Expected Count Brown 61 Yellow 63 Red 54 Blue 61 Orange 85 Green 64 (Round to two decimal places as needed.) What is the test statistic? (Round to three decimal places as needed.) What is the range of P-values of the test? The range of P-values of the test is Based on the results, do the colors follow the same distribution as stated in the problem?
Jun 10, 2022
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