Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

6. A manufacturer of colored candies states that 13% of the candies in a bag should be brown, 14% yellow, 13% red, 24% blue, 20%

image text in transcribed

image text in transcribed
6. 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. 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 whe Print 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. A. 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. O 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. C. 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. O D. 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. Compute the expected counts for each color. Color Frequency Expected Count Brown 61 Yellow 67 Red 56 Blue 60 Orange 94 Green 65 (Round to two decimal places as needed.) What is the test statistic? XO = 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 (1) Based on the results, do the colors follow the same distribution as stated in the problem? O A. Do not reject Ho. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. O B. Reject Ho. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. O C. Reject Ho. There is sufficient evidence that the distribution of colors is not the same as stated by the manufacturer O D. Do not reject Ho. There is not sufficient evidence that the distribution of colors is not the same as stated by the manufacturer. 2: Observed Distribution of Colors Colored Candies in a bag Color Brown Yellow Red Blue Orange| Green Frequency 61 67 56 60 94 65 Claimed Proportion 0.13 0.14 0.13 0.24 0.20 0.16 3: Chi-Square Distribution Critical Values Table Chi-Square (x ) Distribution Area to the Right of Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 0.001 0.004 0.016 2.706 3.841 5.024 6.63 1879 0.010 0.020 0.061 0.103 0.211 4.605 5991 7.378 9.210 10.597 0.072 0115 0.216 0.352 0.584 6.251 7815 9.348 11.345 12.838 0.207 D 29 0.484 0.711 1.064 7.779 9488 11.143 13.277 14.860 0.412 0554 0.831 1.145 1.610 9.236 11.070 12.833 15.086 16.750 0.676 0.872 1.237 1.635 2.204 10.645 12592 14.449 16.812 18.54 0.989 1.239 1.690 2.167 2.833 2.017 14.067 16.013 18.475 20278 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17535 20.090 21.955 1.73 2.08 2.700 3.325 4 168 14.68 6.919 19.023 21.66 23.589 2156 2.568 3.247 3 940 4 865 15.987 18.307 20.483 23 209 25.188 2603 3.063 3.816 1 575 5.578 17275 19.675 21.920 24.725 26.75 3074 3.571 4.404 5 226 6.304 18.549 21.026 23.337 26 217 28.300 3565 4.107 5.009 5 892 7042 19.812 22.362 24.736 27688 29.819 4075 4.660 5.629 6.571 7.790 21.064 23.68 26.119 29141 31.319 4 601 5.229 6.262 8.547 22.307 24.996 27.488 30578 32.801 $14 5.812 5.908 1962 9.312 23.542 26.296 18.845 32000 34.267 5.69 6.408 7564 8.612 10.085 24.769 27587 30.191 33.409 35.71 6.26 2015 8.231 9.390 10.865 25.989 28.869 31.526 34.805 37156 6.844 7633 8.907 10.117 11.65 27204 30.14 2.852 36.19 38.581 7434 8.260 9.591 10.851 12.443 28.412 31.410 34.170 37566 39.997 8.034 8.897 10.283 11.591 13.240 29.615 32.671 35.479 38.932 41.40 3.64 9.542 10.982 12.338 14.041 30.813 33.924 36.781 40.289 42.796 9.260 10.196 11.689 13.09 14.848 32.00' 35.172 38.076 41638 44.181 9.88 10 856 12.401 13.848 15.659 33.196 36.415 39.364 42.980 45.559 10.520 11.524 13.120 14.611 16.473 34.382 37652 40.646 44.314 46.928 11.160 12198 13.844 15.379 17292 35.563 38 885 41.923 45.642 48.290 11808 12879 14.573 16.15 18.114 36.741 40.113 43.195 16.963 49 045 12461 13.56 15.308 16.928 18.939 37.916 41.337 44.461 48.278 50993 13.12 14.256 16.047 17.708 19.768 39.08 42.557 45.722 49.588 52.336 13.787 14.953 16.791 18.493 20.599 40.256 43.77 46.979 50.892 53.672 20.707 22.164 24.433 26.50 29.051 1.805 55.758 $9.342 63 69 66.766 27991 29.707 32.357 34.764 37689 63.167 67505 71.420 76.154 79 490 35 53 37485 40.482 43.188 46.45 4.397 79.082 83.298 88379 91.952 43275 45.442 48.758 51.7.39 55.329 85.527 90.53 95.023 100.425 104 215 $1.172 53.540 57153 60.391 64.278 96.578 101.879 106.629 112.329 116.321 59196 61.754 65.647 69.126 73.29 107.565 113.145 118.136 124.116 128.299 67328 70.065 74.222 77929 82.358 118.498 124.342 129.561 135 807 140.169 Left tail Right tail Area = 1-a Two tails - The area to the xi- - The area to the The area to the right right of this right of this of this value is a value is a. value is 1-a The area to the right of this value is 1 - (1) O between 0.05 and 0. 10. O less than 0.01

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Algebra And Number Theory An Integrated Approach

Authors: Martyn R Dixon, Leonid A Kurdachenko, Igor Ya Subbotin

1st Edition

0470640537, 9780470640531

More Books

Students also viewed these Mathematics questions