ccording to the manufacturer of M&Ms, 12% of peanut M&Ms in a bag should be brown, 15% yellow, 12% red, 23% blue, 23% orange, and 15% green.  A student randomly selects a bag of peanut M&Ms. For the 400 M&Ms in the bag, the the number of M&Ms that were of each color is in the table below.  At the ? = 0.05 level, does the data support the manufacturer's claim for the distribution of colors of peanut M&Ms? (Note: We did not give the Expected Counts, you will need to compute them yourself.) Color Frequency Brown 53 Yellow 66 Red 38 Blue 96 Orange 88 Green 59 Complete the hypothesis test: a)  State the null and alternative hypotheses: H0 and H1 b) Compute the ?2 statistic c) Give the critical ?2 value (from Table VIII). d) State the conclusi

Please answer all sub-parts

According to the manufacturer of M&Ms, 12% of peanut M&Ms in a bag should be brown, 15% yellow, 12% red, 23% blue, 23% orange, and 15% green.  A student randomly selects a bag of peanut M&Ms. For the 400 M&Ms in the bag, the the number of M&Ms that were of each color is in the table below.  At the ? = 0.05 level, does the data support the manufacturer's claim for the distribution of colors of peanut M&Ms? (Note: We did not give the Expected Counts, you will need to compute them yourself.)

Complete the hypothesis test:

a)  State the null and alternative hypotheses:

H₀ and H₁

b) Compute the ?2 statistic

c) Give the critical ?2 value (from Table VIII).

d) State the conclusion