Question

**Hypothesis test for M&Ms:**

This section will work through constructing and interpreting a hypothesis test for

proportions. You can find the information for constructing a hypothesis test in

section 10.2. We will be using the p-value approach with a 5% significance level.

**1.** Treat your bag of M&M’s as a simple
random sample. Choose your favorite

color of M&M’s you will be working with for this project. State the color

and give the counts below.

Color of choice: Green

The proportion of M&M's in your color: I had 12 green M&Ms in bag and total of M&Ms = 100... so 12/100?

The hypothesized proportion of M&M’s in your color:?

**2**. State the null and alternate hypothesis in
both symbolic and sentence

form.

**3**. Use technology to find and state the
p-value.

Answer #1

Milk Chocolate M&M’s come in 6 colors; blue, orange,
green, yellow, red, and brown.
The color is red and the number of candies is 25/200 total
M&Ms
1. Choose your favorite color of M&M’s you will be working
with for this project. State the color and give the counts
below.
Color of choice:
Number of M&M's in your color:
Total number of M&M's:
Proportion of M&M's in your color:
2. Construct a 95% confidence interval for the proportion of
M&M’s...

Milk Chocolate M&M’s come in 6 colors; blue, orange, green,
yellow, red, and brown.
Choose the color of M&M’s you will be working with for this
project
Color:
GREEN
Using the collected data below from a single fun-sized bag,
provide the frequency and proportion of M&M’s in your color of
choice.
Red
Orange
Yellow
Green
Blue
Brown
2
1
2
3
5
1
Number of M&M's in your
color:
Total number of
M&M's:
Proportion of M&M's in
your color:
Construct...

Grab your bag of M
& Ms and sort them out by color. Record the number of each
color in row A of the table below. Also record the total number of
M&Ms in your bag, n.
Calculate the expected
value of each color in a bag of size n. Record your results in Row
B.
Calculate the standard
deviation for each color in a bag of size n. Record your results in
Row C.
Using the
Range-Rule-Of-Thumb, calculate the...

Mars Inc. claims that they produce M&Ms with the following
distributions:
Brown
30%
Red
20%
Yellow
20%
Orange
10%
Green
10%
Blue
10%
A bag of M&Ms was randomly selected from the grocery store
shelf, and the color counts were:
Brown
25
Red
23
Yellow
21
Orange
13
Green
15
Blue
14
Using the χ2 goodness of fit test (α = 0.10) to
determine if the proportion of M&Ms is what is claimed. Select
the [p-value, Decision to Reject (RH0)...

Mars Inc. claims that they produce M&Ms with the following
distributions:
Brown
30%
Red
20%
Yellow
20%
Orange
10%
Green
10%
Blue
10%
A bag of M&Ms was randomly selected from the grocery store
shelf, and the color counts were:
Brown
23
Red
23
Yellow
20
Orange
15
Green
17
Blue
15
Using the χ2 goodness of fit test to determine if the
proportion of M&Ms is what is claimed, what is the test
statistic?
a) χ2 = 10.409
b)...

Conduct the hypothesis test and provide the test statistic,
critical value and P-value, and state the conclusion.
A package of 100 candies are distributed with the following
color percentages: 15% red, 20% orange,16% yellow, 10% brown,
25% blue, and 14% green.
Use the given sample data to test the claim that the color
distribution is as claimed. Use a 0.025 significance level.
Candy counts:
Color
Number in Package
Red
15
Orange
23
Yellow
6
Brown
9
Blue
27
Green
20...

M&M's Color Distribution: Suppose the
makers of M&M candies give the following average percentages
for the mix of colors in their bags of plain chocolate
M&M's.
Stated Distribution of Colors
Brown
Yellow
Red
Orange
Green
Blue
Percent
30%
20%
20%
10%
10%
10%
Now, you randomly select 200 M&M's and get the counts given
in the table below. You expected about 20 blues but only got 9. You
suspect that the maker's claim is not true.
Observed Counts by Color...

M&M's Color Distribution: Suppose the
makers of M&M candies give the following average percentages
for the mix of colors in their bags of plain chocolate
M&M's.
Stated Distribution of Colors
Brown
Yellow
Red
Orange
Green
Blue
Percent
30%
20%
20%
10%
10%
10%
Now, you randomly select 200 M&M's and get the counts given
in the table below. You expected about 20 blues but only got 9. You
suspect that the maker's claim is not true.
Observed Counts by Color...

M&M's Color Distribution: Suppose the
makers of M&M candies give the following average percentages
for the mix of colors in their bags of plain chocolate
M&M's.
Stated Distribution of Colors
Brown
Yellow
Red
Orange
Green
Blue
Percent
30%
20%
20%
10%
10%
10%
Now, you randomly select 200 M&M's and get the counts given
in the table below. You expected about 20 blues but only got 10.
You suspect that the maker's claim is not true.
Observed...

M&M's Color Distribution: Suppose the
makers of M&M candies give the following average percentages
for the mix of colors in their bags of plain chocolate
M&M's.
Stated Distribution of Colors
Brown
Yellow
Red
Orange
Green
Blue
Percent
30%
20%
20%
10%
10%
10%
Now, you randomly select 200 M&M's and get the counts given
in the table below. You expected about 20 blues but only got 9. You
suspect that the maker's claim is not true.
Observed Counts by Color...

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