NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. In an earlier study, the population proportion was estimated to be 0.36. How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04? Round your answer up to the next integer.

The large sample n = 190.44≅190

The  large  sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44

Step-by-step explanation:

Given  population proportion was estimated to be 0.3

p = 0.3

Given maximum of error E = 0.04

we know that maximum error

The 85% confidence level

now calculation , we get

√n=13.80

now squaring on both sides n = 190.44

large sample n = 190.44≅190

Conclusion:-

Hence The  large  sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44

Survey, observational study, observational study, survey

Step-by-step explanation:

In a observational study, the sample is only observed.  No variables are controlled.In a survey, information is obtained directly from the sample, using a questionnaire to measure opinions.In an experiment, variables are controlled by design to study a link of causation.

In the first one, the director wants to know what his singers do before a performance.  The director cannot observe each singer at the same time, so he should use a survey.

In the second one, the director wants to know who his best soprano is.  The best way to determine this is by simply observing.  Observational study.

In the third one, the directer wants to know how verbally disciplining a singer affects the group.  Again, the best way to determine this is by observing.  Observational study.

In the fourth one, the director wants to know what musical is the most popular.  This of course requires a survey.