Generations and climate change - A recent article by the Pew Research Center called "On the Cusp of Adulthood and Facing an Uncertain Future: What We Know About Gen Z So Far", outined the results of a large survey of teens and adults living in the US. Survey respondents were asked about their opinon on climate change. Responses were grouped as follows: • The earth is getting warmer due to human activity • The earth is getting warmer due to natural patterns • There is no evidence the earth is getting warmer • Not sure Students in an introductory statistics class are doing a group project using this data. They want to conduct a test to determine if there is a relationship between the generation a person belongs to and their opinion on climate change. They decide to compare the responses of people from Generation X (born between 1965 and 1980) and the Silent Generation (born between 1928 and 1945), as shown in the table below. The values in the table are consistent with the data reported by the Pew Research Center. Generation Human activity Natural patterns No evidence Not sure Total Generation X 373 163 85 155 776 Silent Generation 98 73 41 44 256 Total 471 236 126 199 1032 Round all calculated answers to 4 decimal places where appropriate. The students want to conduct a x-test of independence. K. What conditions must be met for the hypothesis test to be valid? A. There must be at least 10 'success' and 10 tailure observations. B. There must be an expected count of at least 5 for each cell in the table. C. There must be at least 3 levels of the categorical variable. D. Each observation must be independent of all other observations. E. Population data must be nearly nomal or tho sample size must be at least 30. 2. Choose trom the dropdowns to form the comect null and alternative hypotheses for this test. Họ: The variables Generation and Opinion on climate change are ? H, The variables Genoration and Opinion on cimate change are ? 3. What is the degrees of freedom for this test? df = 4. Under the null hypothesis model, what is the expected count for people who are Silent Generation and responded with Due to natural patterns? expected count

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Generations and climate change - A recent article by the Pew Research Center called "On the Cusp of Adulthood and Facing an Uncertain Future:
What We Know About Gen Z So Far", outined the results of a large survey of teens and adults living in the US.
Survey respondents were asked about their opinon on climate change. Responses were grouped as follows:
• The earth is getting warmer due to human activity
• The earth is getting warmer due to natural patterns
• There is no evidence the earth is getting warmer
• Not sure
Students in an introductory statistics class are doing a group project using this data. They want to conduct a test to determine if there is a relationship
between the generation a person belongs to and their opinion on climate change. They decide to compare the responses of people from Generation X
(born between 1965 and 1980) and the Silent Generation (born between 1928 and 1945), as shown in the table below.
The values in the table are consistent with the data reported by the Pew Research Center.
Generation
Human activity Natural patterns No evidence Not sure Total
Generation X
373
163
85
155
776
Silent Generation
98
73
41
44
256
Total
471
236
126
199
1032
Round all calculated answers to 4 decimal places where appropriate.
The students want to conduct a x-test of independence.
K. What conditions must be met for the hypothesis test to be valid?
A. There must be at least 10 'success' and 10 tailure observations.
B. There must be an expected count of at least 5 for each cell in the table.
C. There must be at least 3 levels of the categorical variable.
D. Each observation must be independent of all other observations.
E. Population data must be nearly nomal or tho sample size must be at least 30.
2. Choose trom the dropdowns to form the comect null and alternative hypotheses for this test.
Họ: The variables Generation and Opinion on climate change are ?
H, The variables Genoration and Opinion on cimate change are ?
3. What is the degrees of freedom for this test?
df =
4. Under the null hypothesis model, what is the expected count for people who are Silent Generation and responded with Due to natural patterns?
expected count
5. Calculate the contribution to the test statistic for people who are Silent Generation and responded with Due to natural patterns.
contribution =
6. Calculate the test statistic for this hypothesis test.
Transcribed Image Text:Generations and climate change - A recent article by the Pew Research Center called "On the Cusp of Adulthood and Facing an Uncertain Future: What We Know About Gen Z So Far", outined the results of a large survey of teens and adults living in the US. Survey respondents were asked about their opinon on climate change. Responses were grouped as follows: • The earth is getting warmer due to human activity • The earth is getting warmer due to natural patterns • There is no evidence the earth is getting warmer • Not sure Students in an introductory statistics class are doing a group project using this data. They want to conduct a test to determine if there is a relationship between the generation a person belongs to and their opinion on climate change. They decide to compare the responses of people from Generation X (born between 1965 and 1980) and the Silent Generation (born between 1928 and 1945), as shown in the table below. The values in the table are consistent with the data reported by the Pew Research Center. Generation Human activity Natural patterns No evidence Not sure Total Generation X 373 163 85 155 776 Silent Generation 98 73 41 44 256 Total 471 236 126 199 1032 Round all calculated answers to 4 decimal places where appropriate. The students want to conduct a x-test of independence. K. What conditions must be met for the hypothesis test to be valid? A. There must be at least 10 'success' and 10 tailure observations. B. There must be an expected count of at least 5 for each cell in the table. C. There must be at least 3 levels of the categorical variable. D. Each observation must be independent of all other observations. E. Population data must be nearly nomal or tho sample size must be at least 30. 2. Choose trom the dropdowns to form the comect null and alternative hypotheses for this test. Họ: The variables Generation and Opinion on climate change are ? H, The variables Genoration and Opinion on cimate change are ? 3. What is the degrees of freedom for this test? df = 4. Under the null hypothesis model, what is the expected count for people who are Silent Generation and responded with Due to natural patterns? expected count 5. Calculate the contribution to the test statistic for people who are Silent Generation and responded with Due to natural patterns. contribution = 6. Calculate the test statistic for this hypothesis test.
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