Fill in the missing values in the following table indicating the expected frequencies in each category for a sample size of 456, if the null hypothesis is true: Expected Frequencies Over 65 years 45-65 years Chi-Square Distribution Degrees of Freedom = 4 л The chi-square statistic has been calculated for you: x² = 12.40. The distribution of the chi-square statistic has Use the following Distributions tool to find the critical value. Age Group 25-44 years 15-24 years 137.80 Because the chi-square statistic X² is 0 total US population. 1 2 63.52 .5000 With the level of significance a = 0.05, the critical value is 3 3.36 5000 4 Under 15 years 97.63 T 5 T 6 7 T 8 9 10 11 12 13 14 2² the critical value, you the null hypothesis. Therefore, you conclude that the proportions of left-handed people in the five age categories differ from the corresponding proportions for the degrees of freedom.
Fill in the missing values in the following table indicating the expected frequencies in each category for a sample size of 456, if the null hypothesis is true: Expected Frequencies Over 65 years 45-65 years Chi-Square Distribution Degrees of Freedom = 4 л The chi-square statistic has been calculated for you: x² = 12.40. The distribution of the chi-square statistic has Use the following Distributions tool to find the critical value. Age Group 25-44 years 15-24 years 137.80 Because the chi-square statistic X² is 0 total US population. 1 2 63.52 .5000 With the level of significance a = 0.05, the critical value is 3 3.36 5000 4 Under 15 years 97.63 T 5 T 6 7 T 8 9 10 11 12 13 14 2² the critical value, you the null hypothesis. Therefore, you conclude that the proportions of left-handed people in the five age categories differ from the corresponding proportions for the degrees of freedom.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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![Suppose you are reading a study conducted in the year 2000 about left-handed people in the United States. The authors report the following
frequency data on the age of the 456 lefties in their random sample:
Over 65 years
36
Over 65 years
12.43%
45-65 years
89
Observed Frequencies
Age Group
25-44 years
155
45-65 years
22.01%
You wonder if the age distribution of left-handed people matches the age distribution of the US population. You obtain the following data from the
2000 census:
15-24 years
68
Percent Distribution of the US Population by Age Group
Age Group
25-44 years
30.22%
Under 15 years
108
15-24 years Under 15 years
21.41%
13.93%
[Source: Hobbs F., & Stoops, N. (2002). Census 2000 special reports: Demographic trends in the 20th century. US Census Bureau.]
You use a chi-square test for goodness of fit to see how well the sample of left-handed people fits the census data. What is the most appropriate
null hypothesis?
O The distribution of ages among left-handed people is equal across the five age categories.
O The distribution of ages among left-handed people is the same as that provided by the census data.
O The distribution of ages among left-handed people is different from that provided by the census data.
The distribution of ages among left-handed people is not equal across the five age categories.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbc54332-530e-4743-b4c0-a38477f6ae68%2Fd74ae14a-6e2e-4d32-8f4b-adcfc844f8c2%2Feyrlw4_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose you are reading a study conducted in the year 2000 about left-handed people in the United States. The authors report the following
frequency data on the age of the 456 lefties in their random sample:
Over 65 years
36
Over 65 years
12.43%
45-65 years
89
Observed Frequencies
Age Group
25-44 years
155
45-65 years
22.01%
You wonder if the age distribution of left-handed people matches the age distribution of the US population. You obtain the following data from the
2000 census:
15-24 years
68
Percent Distribution of the US Population by Age Group
Age Group
25-44 years
30.22%
Under 15 years
108
15-24 years Under 15 years
21.41%
13.93%
[Source: Hobbs F., & Stoops, N. (2002). Census 2000 special reports: Demographic trends in the 20th century. US Census Bureau.]
You use a chi-square test for goodness of fit to see how well the sample of left-handed people fits the census data. What is the most appropriate
null hypothesis?
O The distribution of ages among left-handed people is equal across the five age categories.
O The distribution of ages among left-handed people is the same as that provided by the census data.
O The distribution of ages among left-handed people is different from that provided by the census data.
The distribution of ages among left-handed people is not equal across the five age categories.

Transcribed Image Text:Fill in the missing values in the following table indicating the expected frequencies in each category for a sample size of 456, if the null hypothesis
is true:
Expected Frequencies
Over 65 years 45-65 years
Chi-Square Distribution
Degrees of Freedom = 4
Age Group
25-44 years
The chi-square statistic has been calculated for you: x² = 12.40. The distribution of the chi-square statistic has
Use the following Distributions tool to find the critical value.
137.80
Because the chi-square statistic X² is
0
total US population.
15-24 years
1
2
63.52
.5000
With the level of significance a = 0.05, the critical value is
3
3.36
.5000
4
Under 15 years
97.63
5
6
7
8
9
10 11
12
13 14
X²
the critical value, you
the null hypothesis. Therefore, you
conclude that the proportions of left-handed people in the five age categories differ from the corresponding proportions for the
degrees of freedom.
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