A student counted the colors of 293 plain M&M's and310 peanut M&M's. The results are recorded in the table below. Use a 0.05 significance level to test the claim that the population of plain M&Ms and the population of peanut M&M's have the same proportions of the different colors. Brown Yellow Red Orange Green Blue Plain 50 55 42 58 48 40 Peanut 70 40 50 48 57 45a. StateUpper H 0. A.The two populations are the same B.Plain M&M's and Peanut M&M's are independent C.The two populations have the same proportions of the different colors D.The colors are independent b. Calculate the P-value. Which of these options is closest to the P-value? A.0.1542 B.0.1721 C.0.1575 D.0.1599 c. State the technical conclusion. A.Do not reject Upper H 0 B.Reject Upper H 0 d. State the final conclusion. A.There is not sufficient sample evidence to support the claim. B.There is not sufficient evidence to warrant rejection of the claim. C.The sample data support the claim. D.There is sufficient evidence to warrant rejection of the claim. e. Does it appear that peanut M&M's have a higher proportion of brown candies? Y or N

Name: A student counted the colors of 293 plain M&M's and310 peanut M&M's.
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Description: A student counted the colors of 293 plain M&M's and310 peanut M&M's. The results are recorded in the table below. Use a 0.05 significance level to test the claim that the population of plain M&Ms and the population of peanut M&M's have the same p

Step 1: Here we have to test whether 2 populations have same proportion. The test here used is,test…

Answered: A student counted the colors of 293…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.5: Interpreting Data

Problem 1C

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A student counted the colors of 293 plain M&M's and

310

peanut M&M's. The results are recorded in the table below. Use a 0.05 significance level to test the claim that the population of plain M&Ms and the population of peanut M&M's have the same proportions of the different colors.

Brown Yellow Red Orange Green Blue

Plain 50 55 42 58 48 40

Peanut

40 50 48 57 45

a. State

Upper H 0

The two populations are the same

Plain M&M's and Peanut M&M's are independent

The two populations have the same proportions of the different colors

The colors are independent

b. Calculate the P-value. Which of these options is closest to the P-value?

0.1542

0.1721

0.1575

0.1599

c. State the technical conclusion.

Do not reject Upper H 0

Reject Upper H 0

d. State the final conclusion.

There is not sufficient sample evidence to support the claim.

There is not sufficient evidence to warrant rejection of the claim.

The sample data support the claim.

There is sufficient evidence to warrant rejection of the claim.

e. Does it appear that peanut M&M's have a higher proportion of brown candies?

Y or N

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