Question
Generations and climate change ~ A recent article by the Pew Research Center called On the Cusp of Adulthood and Facing an Uncertain Future: What
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", outlined 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 the Baby Boomer Generation (born between 1946 and 1964) 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 |
Baby Boomer | 412 | 229 | 110 | 165 | 916 |
Silent Generation | 107 | 79 | 45 | 48 | 279 |
Total | 519 | 308 | 155 | 213 | 1195 |
Round all calculated answers to 4 decimal places where appropriate.The students want to conduct a 22-test of independence.1. What conditions must be met for the hypothesis test to be valid? A. There must be an expected count of at least 5 for each cell in the table. B. Each observation must be independent of all other observations. C. Population data must be nearly normal or the sample size must be at least 30. D. There must be at least 10 'success' and 10 'failure' observations. E. There must be at least 3 levels of the categorical variable.
2. Choose from the dropdowns to form the correct null and alternative hypotheses for this test.H0H0: The variables Generation and Opinion on climate change are ? independent not independent .HaHa: The variables Generation and Opinion on climate change are ? independent not independent .
3. What is the degrees of freedom for this test?df=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.2=2=
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