Explain what is wrong and why it is wrong: 1. The higher the confidence level, t
ID: 2957908 • Letter: E
Question
Explain what is wrong and why it is wrong:1. The higher the confidence level, the narrower the confidence interval.
2. A good way to decrease a confidence interval is to increase the sample size.
3. The day before a big election, a pre-election survey showed that Candidate A got 52%, and Candidate B got 48%. The margin of error is 3%. If nothing changes, Candidate A will win.
4. If a probability distribution curve is bell-shaped, then this is a normal distributaion.
5. A normal distribution curve may be symmetric, left-skewed, or right-skewed.
6. Because the tails of the normal distribution curve are infinitely long, the total area under the curve is also infinite.
.
Explanation / Answer
Please remember to rate - thank you!
1. If the confidence level is high, this means that you are very confident that your answer is correct. Therefore, the confidence interval, which describes how far off you might be, will be smaller because you are so confidant that your original assumption is correct.
2. If you decrease the sample size, your test will be less accurate. If I flip a coin 2 times, I may get heads both times which would imply that the probability of getting heads is 100% (which we know is not true). However, if I flip is 100 times, there are more opportunities for me to get a fair estimate of the probability of getting heads. Therefore, I can be more confident that my answer is correct when I increase the sample size.
3. The margin of error is 3%. This means that the survey could be off by 3% for each candidate. Candidate A could actually get 52-3 = 49% when candidate B gets 48+3 = 51%.
4. This is true.
5. Normal distrubution implies bell shaped. Skewed-left/right are not normal.
6. The tails under the curve are not infinitely long.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.