. What critical value is needed to find a 92% confidence interval for the true proportion of women who conceive after previously being unable to do so? Round final answer to two (2) decimal places. 2. Find and interpret this 92% confidence interval, rounding the bounds/limits of the confidence interval to four (4) decimal places. 3. Suppose a researcher at the New Orleans reproductive clinic above wants to establish a 5% margin of error in the study above. Using the answers you found for questions 1 and 2, and still using a 92% confidence level, what is the minimum sample size necessary to keep this 5% margin or error?
New Orleans reproductive clinic reported 57 live births to 285 women under the age of 40 who had previously been unable to conceive.
1. What critical value is needed to find a 92% confidence interval for the true proportion of women who conceive after previously being unable to do so? Round final answer to two (2) decimal places.
2. Find and interpret this 92% confidence interval, rounding the bounds/limits of the confidence interval to four (4) decimal places.
3. Suppose a researcher at the New Orleans reproductive clinic above wants to establish a 5% margin of error in the study above. Using the answers you found for questions 1 and 2, and still using a 92% confidence level, what is the minimum
Use the scenario below to answer questions 4 and 5.
Scientists known as anthropologists have discovered a prehistoric cave that contains a large number of adult human footprints. To study the size of the adults who used the cave, they randomly selected 25 of the footprints from the population of all footprints in the cave and measured the length (cm) of those footprints. Some statistics resulting from the random sample are as follows:
|
Statistic |
Value |
|
n |
25 |
|
Mean |
26.1 cm |
|
Standard Deviation |
8.2 cm |
|
Minimum |
17.9 cm |
|
Q1 |
21.7 cm |
|
|
23.4 cm |
|
Q3 |
33.3 cm |
|
Maximum |
39.6 cm |
The anthropologists would like to construct a 95 percent confidence interval from the mean foot length of the adults who used the cave dwelling.
4. What assumptions are necessary in order for this confidence interval to be appropriate and which assumptions, if any, are violated and why?
5. Construct and interpret the 95% confidence interval for the mean foot length of adults who used the cave.
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