1. Suppose that M&M claims that their Plain M&Ms have an equal proportion of red and...

1. Suppose that M&M claims that their Plain M&Ms have an equal proportion of red and brown.
a. Test the claim that the proportion of red M&Ms is greater than the proportion of brown
M&Ms.
b. Discuss your choice of ?.
i. Why did you choose the ? you did?
ii. If you had chosen a different ?, would it have affected your conclusion?

Solutions

Expert Solution

a. Test the claim that the proportion of red M&Ms is greater than the proportion of brown
M&Ms.

The hypothesis being tested is:

H0: p1 = p2

Ha: p1 > p2

p1	p2	pc
0.0942	0.0818	0.088	p (as decimal)
76/807	66/807	142/1614	p (as fraction)
76.	66.	142.	X
807	807	1614	n

	0.0124	difference
	0.	hypothesized difference
	0.0141	std. error
	0.88	z
	.1898	p-value (one-tailed, upper)

The p-value is 0.1898.

Since the p-value (0.1898) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that the proportion of red M&Ms is greater than the proportion of brown
M&Ms.

b. Discuss your choice of ?.

0.05
i. Why did you choose the ? you did?

This is the most common significance level for studies.
ii. If you had chosen a different ?, would it have affected your conclusion?

orchestra answered 1 year ago

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