A magazine conducts a survey to determine if Californians living in primarily rural counties have a different opinion about climate change than people living in urban counties. Specifically, every person was asked if they thought climate change was ‘real’. The ‘researchers’ conducted a simple random sample of 1000 people and found that 300 of them lived in rural areas. Results of the survey: Of the 300 people living in rural areas, 170 people thought climate change was real. Of the 700 people living in urban areas. 580 thought climate change was real. [1] What proportion of people think climate change is real for each area. [2] Write a sentence describing the null hypothesis, and a sentence describing the alternative hypothesis. [3] Express question 2 using mathematical symbols. [4] Write a sentence describing the Type One and Type Two Errors.
A magazine conducts a survey to determine if Californians living in primarily rural counties have a different opinion
about climate change than people living in urban counties. Specifically, every person was asked if they thought climate
change was ‘real’.
The ‘researchers’ conducted a simple random sample of 1000 people and found that 300 of them lived in rural areas.
Results of the survey:
Of the 300 people living in rural areas, 170 people thought climate change was real.
Of the 700 people living in urban areas. 580 thought climate change was real.
[1] What proportion of people think climate change is real for each area.
[2] Write a sentence describing the null hypothesis, and a sentence describing the alternative hypothesis.
[3] Express question 2 using mathematical symbols.
[4] Write a sentence describing the Type One and Type Two Errors.
[5] Is the data categorical or numerical?
[6] What type of statistics test should we use?
[7] Is this a right tailed or left tailed test?
[8] Conduct the test and present the results.
- Include a graph showing the probability distribution and a shaded area representing the p-value.
[9] What is the p-value.
[10] At a 95 percent confidence value, what can we conclude?
[11] Write a sentence or two summarizing your results in a way that is simple to understand.
The sample size is
Number of people who think climate change is real are from rural area and from urban area
[1]
The proportion of people think that climate change is real for each area is :
For rural area :
For urban area :
[2]
The null hypothesis is a hypothesis with no difference in the characteristics or parameters under study.
This implies, there is no difference of opinion about climate change in people living in rural and urban areas.
The alternative hypothesis is any statement contrary to the null hypothesis.
This implies, there is a difference of opinion about climate change in people living in two different areas.
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