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X Observed Distribution of Colors Colored Candies in a bag Color Brown Yellow Red Blue Orange Green Frequency 59 66 56 60 83 66 Claimed Proportion 0.13 0.14 0.13 0.24 0.20 0.16 Print DoneA 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. Astudent 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 signicance. Using the level of significance 0! = 0.05, test whether the color distribution is the same. HHHMMIEEIHB Click here to view the table of critical values of the chi-square distribution. E} Determine the null and alternative hypotheses. Choose the correct answer below. H0: The distribution of colors is at least as uniform as stated by the manufacturer. H1: The distribution of colors is less uniform than stated by the manufacturer. H0: The distribution of colors is not the same as stated by the manufacturer. H1: The distribution of colors is the same as stated by the manufacturer. V H0: The distribution of colors is the same as stated by the manufacturer. H1: The distribution of colors is not the same as stated by the manufacturer. H0: The distribution of colors is at most as uniform as stated by the manufacturer. H1: The distribution of colors is more uniform than stated by the manufacturer. Compute the expected counts for each color. (Round to two decimal places as needed.) Does the location of your seat in a classroom play a role in attendance or grade? 400 students in a physics course were randomly assigned to one of four groups. The 100 students in group 1 sat 0 to 4 meters from the front of the class, the 100 students in group 2 sat 4 to 6.5 meters from the front, the 100 students in group 3 sat 6.5 to 9 meters from the front, and the 100 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). @ Click the icon to view the chi-square table of critical values. E} (a) For the rst half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each group attended, on average? Is there a signicant difference among the groups in attendance patterns? M 0-84 The number of students who attended in the rst group was 84 . The number of students who attended in the second group was 84 . The number of students who attended in the third group was 84 . The number of students who attended in the fourth group was 80 . What are the hypotheses? H0: The average attendance in each group is the same as the average attendance for the class. H1 : The average attendance in each group is different from the average attendance for the class. What is the test statistic? XE = D (Round to three decimal places as needed.)