Each year, the Chapman University Survey of American Fears asks a random sample of Americans whether they are afraid of various issues. One question on the survey asks about air pollution. The table below reports the number of individuals surveyed in 2018 who responded that they were either afraid or not afraid of air pollution, by political affiliation.
Republican | Independent | Democrat | Total | |
Not afraid of air pollution | 61 | 94 | 28 | 183 |
Afraid of air pollution | 263 | 367 | 376 | 1,006 |
Total | 324 | 461 | 404 | 1,189 |
We’d like to know if, in the American population in 2018, fear of air pollution depends on a person’s political affiliation.
Q1
The value of the corresponding test statistic is
(Round your answer to 2 decimal places)
Q2
Assuming for now that the conditions for inference are met, conclude in context based on this hypothesis test. (Be sure to be very specific and to site your computed P-value).
[This essay question will be graded manually]
Q3
What are the conditions for this inference procedure?
a.) One random sample AND normal data AND large enough sample size.
b.)One random sample AND normal data or large enough sample size.
c.)One random sample AND large enough counts of successes and failures in the sample.
d.)Independent random samples AND normal data AND large enough total sample size.
e.)Normal data AND large enough expected counts.
f.)Random selection without repeated measures AND large enough expected counts.
g.)Independent random samples AND normal data AND large enough total sample size AND similar sample standard deviations.
h.)independent random samples AND normal data or large enough total sample size.
i.) Independent random samples AND normal data or large enough total sample size AND similar sample standard deviations.
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