my budget for the study has been decreased, so I can only take a sample of 400 rather than the sample of 3600 I was originally going to take. Consider the situation described in the image above. The result of this is that their confidence interval will now be: a. about 3 times wider b. about 1/9 as wide c. about 1/3 as wide d. about 9 times wider e. pretty much unchanged
Question
my budget for the study has been decreased, so I can only take a sample of 400 rather than the sample of 3600 I was originally going to take. Consider the situation described in the image above. The result of this is that their confidence interval will now be: a. about 3 times wider
b. about 1/9 as wide
c. about 1/3 as wide
d. about 9 times wider
e. pretty much unchanged
Solution
The confidence interval of a study is inversely proportional to the square root of the sample size. If you reduce your sample size from 3600 to 400, you are reducing it to approximately 1/9 of the original size. However, since the confidence interval is related to the square root of this fraction, you need to take the square root of 1/9, which is 1/3. Therefore, your confidence interval will now be about 3 times wider. So, the answer is:
a. about 3 times wider
Similar Questions
my budget for the study has been increased, so that i can take a sample of 3600 rather than the sample of 400 i was originally going to take!Consider the situation described in the image above. The result of this is that their confidence interval will now be: Group of answer choices about 9 times wider about 3 times wider pretty much unchanged about 1/3 as wide about 1/9 as wide
My budget for the study has been increased so that i can take a sample of 7200 rather than the sample of 800 i was oringinally going to take! what happen with the confidence interval
A sample with a sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval when estimating the population parameter?A.55B.45C.35D.65SUBMITarrow_backPREVIOUS
Examine the following statements and then select the one statement that is correct.Group of answer choicesA wider confidence interval means less confidence in the estimate (all other things being equal).A narrower confidence interval is always better than a wider confidence interval.For a 95% confidence interval for a population mean, there is a 95% chance that the confidence interval includes the sample mean.The width of a confidence interval is affected by both the sampling error and the required level of confidence.
Consider the situation described in the image above. The result of this is that their confidence interval will now be: Group of answer choices about 3 times wider pretty much unchanged about 1/9 as wide about 1/3 as wide about 9 times wider
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.