A 2010 Pew Research poll asked 1,306 Americans “From what you’ve read and heard,
ID: 3229650 • Letter: A
Question
A 2010 Pew Research poll asked 1,306 Americans “From what you’ve read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?". The table below shows the distribution of responses by party and ideology.
What is the probability that in a random sample of 200 Moderate/Conservative Democrats at least 50 believe that the earth is not warming? Hint: use the central limit theorem.
Response Earth is Warming Not Warming Don't Know Total Conservative Republican 144 261 26 431 Party Mod/Lib Republican 78 78 13 169 Mod/Cons Democrat 327 91 26 444 Liberal Democrat 236 13 13 262 Total 785 443 78 1306Explanation / Answer
Result:
A 2010 Pew Research poll asked 1,306 Americans “From what you’ve read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?". The table below shows the distribution of responses by party and ideology.
Response
Earth is Warming
Not Warming
Don't Know
Total
Conservative Republican
144
261
26
431
Party
Mod/Lib Republican
78
78
13
169
Mod/Cons Democrat
327
91
26
444
Liberal Democrat
236
13
13
262
Total
785
443
78
1306
What is the probability that in a random sample of 200 Moderate/Conservative Democrats at least 50 believe that the earth is not warming? Hint: use the central limit theorem.
P(Moderate/Conservative Democrats believe that the earth is not warming)
p=91/444 =0.205
n=200,p=0.205
Expectation = np = 41
Variance = np(1 - p) = 32.595
Standard deviation = 5.7092
Z value for 50 with continuity correction, z =(49.5-41)/5.7092 =1.49
P(x 50) = P( z >1.49)
=0.0681
Response
Earth is Warming
Not Warming
Don't Know
Total
Conservative Republican
144
261
26
431
Party
Mod/Lib Republican
78
78
13
169
Mod/Cons Democrat
327
91
26
444
Liberal Democrat
236
13
13
262
Total
785
443
78
1306
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.