Question

A restaurant manager is interested in investigating whether the main course ordered and the dessert ordered are related. The table below shows the results of a survey.

Fish | Meat | Vegetarian | |
---|---|---|---|

Cake | 91 | 99 | 48 |

Ice Cream | 108 | 101 | 48 |

Pie | 117 | 110 | 41 |

What can be concluded at the αα = 0.10 significance level?

- What is the correct statistical test to use?
- Goodness-of-Fit
- Independence
- Homogeneity
- Paired t-test

- What are the null and alternative hypotheses?

H0:H0:- Main course and dessert are dependent.
- Main course and dessert are independent.
- The distribution of dessert orders is not the same for each main course that is ordered.
- The distribution of dessert orders is the same for each main course that is ordered.

H1:H1:- Main course and dessert are independent.
- Main course and dessert are dependent.
- The distribution of dessert orders is not the same for each main course that is ordered.
- The distribution of dessert orders is the same for each main course that is ordered.

- The test-statistic for this data = (Please show your
answer to three decimal places.)
- The p-value for this sample = (Please show your answer to four
decimal places.)
- The p-value is Select an answer less than (or equal to) greater
than αα
- Based on this, we should
- accept the null
- reject the null
- fail to reject the null

- Thus, the final conclusion is...
- There is sufficient evidence to conclude that the distribution of dessert orders is the same for each main course that is ordered.
- There is sufficient evidence to conclude that the main course that is ordered and the dessert that is ordered are dependent.
- There is sufficient evidence to conclude that the main course that is ordered and the dessert that is ordered are independent.
- There is insufficient evidence to conclude that the distribution of dessert orders is the same for each main course that is ordered.
- There is insufficient evidence to conclude that the main course that is ordered and the dessert that is ordered are dependent.

Answer #1

The statistical software output for this problem is :

Independence

Main course and dessert are independent.

Main course and dessert are dependent.

The test-statistic for this data = 2.884

The p-value for this sample = 0.5774

The p-value is greater than α

fail to reject the null

There is insufficient evidence to conclude that the distribution of dessert orders is the same for each main course that is ordered.

A researcher is interested in investigating whether religious
affiliation and the brand of sneakers that people wear are
associated. The table below shows the results of a survey.
Frequencies of Religions and Sneakers
NikeAdidasOther
Protestant7395106
Catholic696583
Jewish171840
Other907476
What can be concluded at the αα = 0.05 significance level?
What is the correct statistical test to use?
Paired t-test
Independence
Homogeneity
Goodness-of-Fit
What are the null and alternative hypotheses?
H0:H0:
Sneaker brand and religious affiliation are dependent.
Sneaker brand and...

You are interested in investigating whether the type of computer
a person primarily uses and the type of car they drive are
dependent. The table below shows the results of a survey.
Frequencies of Computer and Car
Types
Sedan
SUV
Truck
Tablet
72
98
50
Notebook
87
96
30
Desktop
106
103
22
What can be concluded at the αα = 0.10 significance level?
What is the correct statistical test to use?
Paired t-test
Homogeneity
Goodness-of-Fit
Independence
What are the...

Are phone calls equally likely to occur any day of the week? The
day of the week for each of 392 randomly selected phone calls was
observed. The results are displayed in the table below. Use an αα =
0.10 significance level.
Complete the rest of the table by filling in the expected
frequencies:
Frequencies of Phone Calls for Each Day of the Week
OutcomeFrequencyExpected Frequency
Sunday38
Monday57
Tuesday65
Wednesday45
Thursday75
Friday63
Saturday49
What is the correct statistical test to...

You want to see if it makes a difference which lane to be in
when there is traffic. You randomly observe 332 cars as they pass
by on the four lane freeway. The results are displayed in the table
below. Use a level of significance of αα = 0.01.
Complete the rest of the table by filling in the expected
frequencies:
Frequency of Cars in Each Lane
Outcome
Frequency
Expected Frequency
Lane 1
66
Lane 2
109
Lane 3
84...

Is the average time to complete an obstacle course shorter when
a patch is placed over the right eye than when a patch is placed
over the left eye? Thirteen randomly selected volunteers first
completed an obstacle course with a patch over one eye and then
completed an equally difficult obstacle course with a patch over
the other eye. The completion times are shown below. "Left" means
the patch was placed over the left eye and "Right" means the patch...

Is the average time to complete an obstacle course longer when a
patch is placed over the right eye than when a patch is placed over
the left eye? Thirteen randomly selected volunteers first completed
an obstacle course with a patch over one eye and then completed an
equally difficult obstacle course with a patch over the other eye.
The completion times are shown below. "Left" means the patch was
placed over the left eye and "Right" means the patch...

Consider the following set of ordered pairs.
x 6 1 4 3 4 0
y 5 2 5 3 4 5
Assuming that the regression equation is y=3.375 + 0.208x and
that the SSE=6.9583, test to determine if the slope is not equal
to zero using α=0.10.
State the hypotheses. Choose the correct answer below.
A. H0: β ≠0 H1: β=0
B. H0: β=0 H1: β>0
C. H0: β=0 H1: β≠0
D. H0: β=0 H1: β<0
Calculate the test statistic....

Is a person's favorite pizza topping dependent on their gender?
A random sample of pizzas ordered and the gender of the person who
ordered were recorded and the results are found in the table below.
Use this data to test whether or not pizza topping preference is
independent of gender at the α=0.01α=0.01 level of
significance.
Which would be correct hypotheses for this test?
H0:H0:Pizza topping preference and gender are independent;
H1:H1:There is some relationship between a person's gender and...

Is a person's favorite pizza topping dependent on their gender?
A random sample of pizzas ordered and the gender of the person who
ordered were recorded and the results are found in the table below.
Use this data to test whether or not pizza topping preference is
independent of gender at the α=0.10α=0.10 level of
significance.
Which would be correct hypotheses for this test?
H0:H0:Pizza topping preference and gender are
independent; H1:H1:There is some relationship between a
person's gender and their pizza...

Consider the following data for a dependent variable y
and two independent variables, x1and
x2.
x1
x2
y
30
12
96
47
10
108
25
17
112
51
16
178
40
5
94
51
19
175
74
7
170
36
12
117
59
13
142
76
16
211
The estimated regression equation for these data is ŷ =
−17.33 + 2.00x1 +
4.73x2.
Here, SST = 15,002.1, SSR = 13,887.5,
sb1 =
0.2454,and
sb2 =
0.9417.
(a)Test for a significant...

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