Consider a standard package of milk chocolate M&Ms. There are six different colours: red, orange, yellow, green, blue, a

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Consider A Standard Package Of Milk Chocolate M Ms There Are Six Different Colours Red Orange Yellow Green Blue A 1 (45.21 KiB) Viewed 11 times

Consider a standard package of milk chocolate M&Ms. There are six different colours: red, orange, yellow, green, blue, and brown. Suppose a customer is curious about the distribution of these colours and asks, do all six colours occur in equal proportion? Suppose that the customer took a simple random sample of 600 M&M candies with the following distribution: • 212 candies are blue • 42 candies are brown • 50 candies are red • 147 candies are orange • 103 candies are green • 46 candies are yellow Test at a 2.5% level of significance whether the current distribution of the M&M candies is the same for all six colours. (a) State the null and alternative hypotheses. (b) Select the distribution to use. (c) Determine the rejection and non-rejection regions. (d) Calculate the value of the test statistic. (e) Make a decision. You can use the following equations to answer the above questions: x² = (0-6)² , and E= np, where O is the observed frequency, E is the expected frequency.