Question

Consider the observed frequency distribution for the accompanying set of random variables. Perform a chi-square test using α = 0.05 to determine if the observed frequencies follow the Poisson probability distribution when lambda λ=1.5.

Random Variable, x Frequency, fo

0 18

1 35

2 30

3 14

4 and more 3

Total 100

What is the null hypothesis, H0?

A. The random variable follows a normal distribution.

B. The random variable does not follow the Poisson distribution with lambda λ=1.5.

C. The random variable follows a uniform distribution.

D. The random variable follows the Poisson distribution with lambda λ=1.5.

What is the alternate hypothesis, H1?

A. The random variable follows a uniform distribution.

B. The random variable follows the Poisson distribution with lambda λ=1.5.

C. The random variable does not follow the Poisson distribution with lambda λ=1.5.

D. The random variable follows a normal distribution.

Calculate the test statistic.

χ2= (Round to two decimal places as needed.)

Determine the p-value.

p-value=(Round to three decimal places as needed.)

State the appropriate conclusion.

(Do not reject/Reject) the null hypothesis because the p-value is (greater than/less than) alpha α. There is (sufficient/insufficient) evidence to conclude that the observed frequency distribution does not follow Poisson probability distribution. Click to select your answer(s).

Answer #1

Consider the observed frequency distribution for a set of
grouped random variables available below. Perform a chi-square test
using a α=0.10 to determine if the observed frequencies follow the
normal probability distribution with μ=99 and σ=20.
Click the icon to view the observed frequency distribution.
Random Variable, x
Frequency, fo
Less than 79
10
79 to under 99
14
99 to under 119
18
119 and more
8
Total
50
State the appropriate null and alternative hypotheses. What is
the...

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age (years)
Percent of Canadian Population
Observed Number
in the Village
Under 5
7.2%
47
5 to 14
13.6%
68
15 to 64
67.1%
295
65 and older
12.1%
45
Use a 5% level of significance to test the claim that the age
distribution of the general Canadian population fits the age...

Suppose the age distribution of the Canadian population and the
age distribution of a random sample of 444 residents in the Indian
community of Red Lake are shown below.
Observed Number
Age (years)
Percent of Canadian Population
in Red Lake Village
Under 5
7.3%
42
5 to 14
12.5%
47
15 to 64
68.3%
314
65 and older
11.9%
41
Use to test the claim that the age distribution of
the general Canadian population fits the age distribution of the...

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below. Age (years) Percent of
Canadian Population Observed Number in the Village Under 5 7.2% 52
5 to 14 13.6% 70 15 to 64 67.1% 283 65 and older 12.1% 50 Use a 5%
level of significance to test the claim that the age distribution
of the general Canadian population fits the age...

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age
(years)
Percent of Canadian
Population
Observed Number
in the Village
Under 5
7.2%
50
5 to 14
13.6%
78
15 to 64
67.1%
286
65 and older
12.1%
41
Use a 5% level of significance to test the claim that the age
distribution of the general Canadian population fits the age...

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age
(years)
Percent of Canadian
Population
Observed Number
in the Village
Under 5
7.2%
52
5 to 14
13.6%
80
15 to 64
67.1%
278
65 and older
12.1%
45
Use a 5% level of significance to test the claim that the age
distribution of the general Canadian population fits the age...

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below. Age (years) Percent of
Canadian Population Observed Number in the Village Under 5 7.2% 50
5 to 14 13.6% 75 15 to 64 67.1% 280 65 and older 12.1% 50 Use a 5%
level of significance to test the claim that the age distribution
of the general Canadian population fits the age...

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age
(years)
Percent of
Canadian Population
Observed
Number
in the Village
Under 5
7.2%
47
5 to 14
13.6%
72
15 to 64
67.1%
290
65 and older
12.1%
46
Use a 5% level of significance to test the claim that the age
distribution of the general Canadian population fits the age...

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below. Age (years) Percent of
Canadian Population Observed Number in the Village Under 5 7.2% 48
5 to 14 13.6% 66 15 to 64 67.1% 299 65 and older 12.1% 42 Use a 5%
level of significance to test the claim that the age distribution
of the general Canadian population fits the age...

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age (years)
Percent of Canadian Population
Observed Number
in the Village
Under 5
7.2%
50
5 to 14
13.6%
71
15 to 64
67.1%
286
65 and older
12.1%
48
Use a 5% level of significance to test the claim that the age
distribution of the general Canadian population fits the age...

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