A third statistics student also takes a random sample of 180 candies to run a chi-quare goodness-of-fit test. The flavors of the candies are supposed to be distributed 50% cherry, 30% lemon, and 20% orange. A table of expected and observed counts and tool output are provided. Cherry Lemon Orange Total Expected counts 90 54 36 180 Observed counts 74 71 35 180 A null distribution of 1000 repetitions with a theory-based null distribution overlaid. The x-axis is the chi-square statistic and the y-axis is the number of repetitions. The distribution ranges from 0 to about 20. A dashed line shows the observed chi-square statistic. Very little area under the curve is beyond this statistic.Theory-based resultsProbability model: Chi-square distribution (degrees of freedom = 2) Mean: 2 SD: 2 p-value: 0.001The validity conditions for a theoretical chi-square goodness-of-fit test because Pick Pick met,The chi-square statistic is 8.224. From the tool output, The p-value indicatesevidencethe null hypothesis thatthe candies are distributed as expected