A city in a particular county has a population of 459,209; the population of the county is 9,519,338. Conduct a goodness of fit test at the 5% level to determine if the racial demographics of the city fit that of the county. Round expected frequency to two decimal places. Race Percent, county Expected #, city Actual #, city American Indian and Alaska Native 0.8 3673.67 3,913 Asian 11.9 55,521 Black or African American 9.8 68,585 Native Hawaiian and other Pacific Islander 0.3 5,691 White, including Hispanic/Latino 48.7 206,177 Other 23.5 5.0 95,013 24,309 Part (a) Two or more races State the null hypothesis. O The data do not fit the distribution of the population of each race in the county. The data fit the distribution of the population of each race in the county. Part (b) State the alternative hypothesis. O The data fit the distribution of the population of each race in the county. The data do not fit the distribution of the population of each race in the county. Part (c) What are the degrees of freedom? 6 Part (d) State the distribution to use for the test. ○ t6 ○ t7 Part (e) What is the test statistic? (Round your answer to the nearest whole number.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section11.1: Stem-and-leaf Plots And Histograms
Problem 13E
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A city in a particular county has a population of 459,209; the population of the county is 9,519,338. Conduct a goodness of fit test at the 5% level to determine if the racial demographics of the city fit that of the county. Round
expected frequency to two decimal places.
Race
Percent, county
Expected #, city
Actual #, city
American Indian and Alaska Native
0.8
3673.67
3,913
Asian
11.9
55,521
Black or African American
9.8
68,585
Native Hawaiian and other Pacific Islander
0.3
5,691
White, including Hispanic/Latino
48.7
206,177
Other
23.5
5.0
95,013
24,309
Part (a)
Two or more races
State the null hypothesis.
O The data do not fit the distribution of the population of each race in the county.
The data fit the distribution of the population of each race in the county.
Part (b)
State the alternative hypothesis.
O The data fit the distribution of the population of each race in the county.
The data do not fit the distribution of the population of each race in the county.
Part (c)
What are the degrees of freedom?
6
Part (d)
State the distribution to use for the test.
○ t6
○ t7
Part (e)
What is the test statistic? (Round your answer to the nearest whole number.)
Transcribed Image Text:A city in a particular county has a population of 459,209; the population of the county is 9,519,338. Conduct a goodness of fit test at the 5% level to determine if the racial demographics of the city fit that of the county. Round expected frequency to two decimal places. Race Percent, county Expected #, city Actual #, city American Indian and Alaska Native 0.8 3673.67 3,913 Asian 11.9 55,521 Black or African American 9.8 68,585 Native Hawaiian and other Pacific Islander 0.3 5,691 White, including Hispanic/Latino 48.7 206,177 Other 23.5 5.0 95,013 24,309 Part (a) Two or more races State the null hypothesis. O The data do not fit the distribution of the population of each race in the county. The data fit the distribution of the population of each race in the county. Part (b) State the alternative hypothesis. O The data fit the distribution of the population of each race in the county. The data do not fit the distribution of the population of each race in the county. Part (c) What are the degrees of freedom? 6 Part (d) State the distribution to use for the test. ○ t6 ○ t7 Part (e) What is the test statistic? (Round your answer to the nearest whole number.)
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