I need help with this stats question:
" " "Skittles Colour" "1" , "Red" "2" , "Orange" ", "Green" "4" , "Purple" "5 " , "Green" "6" , "Yellow" "7" , "Orange" "8" , "Green" "9" , "Green" "10 " , "Purple" "11 " , "Purple" "12" , "Purple" "13" , "Purple" "14" , "Green" "15" , "Purple" "16" , "Green" "17" , "Purple" "18", "Orange" "19", "Yellow" "20" , "Yellow" "21", "Yellow" "22", "Yellow" "23", "Red" "24" , "Red" "25", "Yellow" "26" , "Purple" "27 " , "Green" "28" , "Green" "29" , "Yellow" "30" , "Purple" "31" , "Red" "32" , "Green" "33" , "Purple" "34" , "Yellow" "35" , "Red" "36" , "Yellow" "37", "Orange" "38", "Green" "39" , "Green" "40" , "Red" "41", "Orange" "42" , "Green" "43" , "Purple" "44" , "Purple" " 45" , "Purple" "46" , "Purple" "47 " , "Green" " 48" , "Green" "49" , "Green" "50" , "Yellow""51","Red" "52","Orange" "53","Red" "54","Yellow" "55","0range" "56","Green" "57","Yellow" "58","Yellow" "59","Green" "60","Green" "61","Yellow" "62","0range" "63","Purple" "64","0range" "65","0range" "66","0range" "67","Yellow" "68","Yellow" "69","Purple" "70","Purple" "71" , "Red" "72" , "Yellow" "73","Red" "74","0range" "75","Yellow" "76","Green" " 7'? " , "Green" "78","Yellow" "79","Green" "80","Yellow" "81","Green" "82","Green" "83\"100" , "Orange" "101" , "Green" "102" , "Purple" "103" , "Orange" "104" , "Purple" "105" , "Yellow" "106" , "Green" "107" , "Yellow" "108", "Orange" "109" , "Red" "110" , "Red" "111" , "Purple" "112", "Red" "113" , "Red" "114" , "Purple" "115" , "Purple" "116" , "Purple" "117", "Purple" "118" , "Red" "119" , "Orange" "120", "Yellow" "121", "Red" "122" , "Purple" "123" , "Orange" "124" , "Orange" "125" , "Yellow" "126" , "Yellow" "127" , "Green" "128", "Orange" "129" , "Purple" "130" , "Purple" "131" , "Green" "132" , "Green" "133" , "Yellow" "134" , "Purple" "135", "Orange" "136" , "Green" "137", "Orange" "138", "Orange" "139" , "Green" "140", "Orange" "141" , "Red" "142" , "Green" "143" , "Red" "144" , "Orange" "145" , "Purple" "146" , "Yellow" "147" , "Purple" "148" , "Red" "149" , "Orange" "150" , "Red""151","Purple" "152","0range" "153","Purple" "154","Yellow" "155","Purple" "156","Purple" "157","Red" "158","Green" "159","0range" "160","0range" "161","Purple" "162","Green" "163","0range" "164","Purple" "165","0range" "166","0range" "167","Red" "168","0range" "169","Red" "170","Yellow" "171","Yellow" "172","Purple" "173","Yellow" "174","Purple" "175","0range" "176","Purple" "17?","Purple" "178","0range" "179","Red" "180","Yellow" "181","Green" "182","Red" "183","Yellow" "184","Purple" "185","Red" "186","Red" "187","Yellow" "188","Yellow" "189","0range" "190","Yellow" "191","Purple" "192","Yellow" "193","Purple" "194","0range" "195","Red" "196","Purple" "19?","Green" "198","Purple" "199","Red" "200","Red" "201","Red" "202","Red" "203","Green" "204","Red" "205","Purple" "206","Purple" "20?","Yellow" "208","0range" "209","Purple" "210","Red" "211","Yellow" "212","Red" "213","Yellow" "214","0range" "215","Green" "216","0range" "21?","Green" "218","0range" "219","Purple" "220","0range" "221","0range" "222","0range" "223","0range" "224","Yellow" "225","Yellow" "226","Red" "22?","Green" "228","Yellow" "229","Green" "230","Green" "231","Green" "232","Red" "233","0range" "234","Yellow" "235","Green" "236","Green" "237","Green" "238","Purple" "239","Green" "240","0range" "241","Red" "242","Purple" "243","Purple" "244","Purple" "245","Purple" "246","Red" "24?","Yellow" "248","Red" "249","Green" "250","Green" "251","Green" "252","Red" "253","0range" "254 " , "Purple" "255","0range" "256","Green" "25?","0range" "258","Yellow" "259","Green" "260","Red" "261" , "Red" "262 " , "Yellow" "263","Yellow" "264","0range" "265","0range" Homework4: Problem 4 (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 = 0.20 HA : At least one colour occurs disproportionately B. Ho : PGreen = POrange = PRed = PPurple = PYellow = 0.20 HA : At least one colour occurs disproportionately C. Ho : PGreen = POrange = PRed = PPurple = PYellow = 0.20 HA : PGreen # POrange # PRed # PPurple # PYellow D. HO : PGreen = POrange = PRed = PPurple = PYellow HA : PGreen # POrange # PRed # PPurple # PYellow E. Ho : PGreen = POrange = PRed = PPurple = PYellow = 0.20 HA : PGreen # POrange + PRed # PPurple # PYellow (b) Find the number of skittles of each color you observed. Observed Number of Green = (use one decimal) Observed Number of Orange = (use one decimal) Observed Number of Purple = (use one decimal) Observed Number of Red = (use one decimal) Observed Number of Yellow = (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. Expected Number = I II! (CD Compute the value of the test statistic, use three decimals in your answer. Test Statistic = I ll! (e) Find the P-value of your result. Use four-decimals in your answer. P-value = (f) Using an a of 5%, this data indicates that the number of each colour in a bag of skittles occur-numbers. I ll
