1 Red 2 Purple 3 Green 4 Green 5 Orange 6 Purple 7 Green 8 Yellow 9 Red 10 Purple 11 Green 12 Green 13 Green 14 Green 15 Red 16 Green 17 Purple 18 Orange 19 Yellow 20 Purple 21 Red 22 Yellow 23 Green 24 Orange 25 Orange 26 Yellow 27 Red 28 Green 29 Purple 30 Yellow 31 Yellow 32 Green 33 Red 34 Orange 35 Green 36 Green 37 Yellow 38 Red 39 Orange 40 Green 41 Green 42 Purple 43 Purple 44 Orange 45 Yellow 46 Yellow 47 Purple 48 Green 49 Yellow 50 Purple 51 Green 52 Red 53 Green 54 Red 55 Yellow 56 Yellow 57 Red 58 Yellow 59 Purple 60 Red 61 Green 62 Purple 63 Purple 64 Green 65 Green 66 Orange 67 Green 68 Red 69 Yellow 70 Green 71 Orange 72 Purple 73 Yellow 74 Green 75 Green 76 Purple 77 Green 78 Red 79 Purple 80 Orange 81 Orange 82 Purple 83 Red 84 Green 85 Green 86 Purple 87 Red 88 Green 89 Purple 90 Green 91 Orange 92 Purple 93 Green 94 Red 95 Green 96 Orange 97 Red 98 Green 99 Purple 100 Yellow 101 Purple 102 Orange 103 Red 104 Red 105 Yellow 106 Purple 107 Orange 108 Purple 109 Yellow 110 Purple 111 Yellow 112 Red 113 Orange 114 Yellow 115 Yellow 116 Red 117 Purple 118 Red 119 Purple 120 Purple 121 Purple 122 Yellow 123 Red 124 Red 125 Yellow 126 Green 127 Orange 128 Green 129 Purple 130 Red 131 Green 132 Orange 133 Orange 134 Green 135 Orange 136 Red 137 Purple 138 Green 139 Orange 140 Red 141 Purple 142 Green 143 Orange 144 Orange 145 Purple 146 Purple 147 Orange 148 Green 149 Orange 150 Purple 151 Green 152 Yellow 153 Green 154 Yellow 155 Orange 156 Yellow 157 Red 158 Orange 159 Red 160 Yellow 161 Green 162 Red 163 Green 164 Red 165 Orange 166 Red 167 Red 168 Green 169 Purple 170 Orange 171 Purple 172 Purple 173 Green 174 Red 175 Orange 176 Orange 177 Purple 178 Purple 179 Green 180 Purple 181 Green 182 Green 183 Purple 184 Red 185 Green 186 Green 187 Green 188 Red 189 Orange 190 Yellow 191 Green 192 Green 193 Red 194 Orange 195 Purple 196 Orange 197 Green 198 Yellow 199 Red 200 Orange 201 Purple 202 Red 203 Purple 204 Purple 205 Yellow 206 Orange 207 Yellow 208 Yellow 209 Red 210 Purple 211 Yellow 212 Purple 213 Yellow 214 Red 215 Green 216 Orange 217 Green 218 Green 219 Green 220 Green 221 Yellow 222 Green 223 Purple 224 Red 225 Green 226 Green 227 Red 228 Purple 229 Yellow 230 Orange 231 Red 232 Green 233 Green 234 Purple 235 Orange 236 Green 237 Green 238 Green 239 Yellow 240 Red 241 Yellow 242 Green 243 Purple 244 Red 245 Green 246 Orange 247 Green 248 Red 249 Red 250 Yellow 251 Purple 252 Yellow 253 Purple 254 Orange 255 Red 256 Green 257 Purple 258 Purple 259 Red 260 Purple 261 Orange 262 Green 263 Purple 264 Orange

(1 point) The makers of Skittles candy states that there is an even distribution of colours in a bag of its candy. That is, 20% for all skittles are of each colour: green, orange, purple, red, and yellow. Four randomly chosen bags of Skittles candies were opened, and the number of each flavoured candy was counted. The data can be found in the Download .csv file From this data, test the hypothesis that there are an equal number of different coloured skittles in a bag of skittles. (a) Formulate the appropriate statistical hypotheses. A. Ho: PGreen= POrange = PRed = PPurple = PYellow HA : PGreen #POrange + PRed PPurple PYellow B. Ho: PGreen = POrange = P Red =P Purple = PYellow = 0.20 C. Ho: PGreen POrange = P Red =P Purple = PYellow = 0.20 D. Ho: PGreen = POrange = PRed = PPurple = PYellow = 0.20 E. Ho: PGreen = POrange = PRed PPurple = PYellow = 0.20 (b) Find the number of skittles of each color you observed. Observed Number of Green= 73.0 Observed Number of Orange= 43.0 Observed Number of Purple = 58.0 Observed Number of Red = 50.0 Observed Number of Yellow = 40.0 Expected Number = Test Statistic = 54.00 P-value = H : At least one colour occurs disproportionately HA : PGreen #POrange #PRed PPurple #PYellow H: At least one colour occurs disproportionately HA : PGreen #Porange #PRed PPurple PYellow (use one decimal) (c) If the null hypothesis is true, how many times would you expect each of these colours to occur? Use two-decimals in your answer. (use one decimal) (use one decimal) (use one decimal) (d) Compute the value of the test statistic, use three decimals in your answer. (use one decimal) (e) Find the P-value of your result. Use four-decimals in your answer. (f) Using an a of 5%, this data indicates that the number of each colour in a bag of skittles occurs in unequal numbers.