Question

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 Lane 4 73 - What are the null and alternative hypotheses?

H0:H0: Select an answer The traffic and lanes are dependent. The distribution of traffic is uniform. The distribution of traffic is not uniform. The traffic and lanes are independent.

Ha:Ha:- The distribution of traffic is uniform.
- The traffic and lanes are independent.
- The distribution of traffic is not uniform.
- The traffic and lanes are dependent.

- The degrees of freedom =
- The test-statistic for this data = (Please show your
answer to two decimal places.)

- 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 traffic is not uniform.
- There is sufficient evidence to conclude that traffic and lanes are dependent.
- There is insufficient evidence to conclude that the distribution of traffic is not uniform.
- There is sufficient evidence to conclude that the distribution of traffic is uniform.
- There is insufficient evidence to conclude that traffic and lanes are dependent.

Answer #1

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...

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...

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.
Frequencies of Food Preference and Dessert
Types
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...

Is there a difference in the car brand's countries for
Midwesterners and people from the west coast? Of the 165 randomly
selected Midwesterners surveyed 60 had an American car, 85 had a
car from Asia, and 20 had a cars from another country. Of the 170
randomly selected people from the west coast who were surveyed, 47
had an American car, 83 had a car from Asia, and 40 had a car from
outside of the US and Asia. Conduct...

A gambler complained about the dice. They seemed to be loaded!
The dice were taken off the table and tested one at a time. One die
was rolled 300 times and the following frequencies were
recorded.
Outcome 1 2 3
4 5 6
Observed frequency O 60 44
59 34 46 57
Do these data indicate that the die is unbalanced? Use a 1% level
of significance. Hint: If the die is balanced, all outcomes should
have the same expected...

Mr. Acosta, a sociologist, is doing a study to see if there is a
relationship between the age of a young adult (18 to 35 years old)
and the type of movie preferred. A random sample of 93 adults
revealed the following data. Test whether age and type of movie
preferred are independent at the 0.05 level.
Person's
Age
Movie
18-23
yr
24-29
yr
30-35
yr
Row
Total
Drama
7
12
15
34
Science Fiction
14
9
7
30
Comedy...

Mr. Acosta, a sociologist, is doing a study to see if there is a
relationship between the age of a young adult (18 to 35 years old)
and the type of movie preferred. A random sample of 93 adults
revealed the following data. Test whether age and type of movie
preferred are independent at the 0.05 level.
Person's
Age
Movie
18-23
yr
24-29
yr
30-35
yr
Row
Total
Drama
9
12
13
34
Science Fiction
14
11
5
30
Comedy...

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...

The following table shows age distribution and location of a
random sample of 166 buffalo in a national park.
Age
Lamar
District
Nez Perce
District
Firehole
District
Row
Total
Calf
10
13
18
41
Yearling
10
14
9
33
Adult
38
29
25
92
Column Total
58
56
52
166
Use a chi-square test to determine if age distribution and
location are independent at the 0.05 level of significance.
(a) What is the level of significance?
State the null and...

The following table shows the Myers-Briggs personality
preferences for a random sample of 519 people in the listed
professions. T refers to thinking and F refers to feeling.
Personality Type
Occupation
T
F
Row
Total
Clergy (all denominations)
55
93
148
M.D.
79
80
159
Lawyer
120
92
212
Column Total
254
265
519
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.01 level of
significance.
(a) What is the level...

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