A survey asked 30 people if they believed that private enterprise could solve US problems 14 said yes. Which of the following statements correctly describes how the confidence interval for the population proportion of people that agree that private enterprise can solve US problems should be computed?

There are at least 15 successes and 15 failures. A large sample confidence interval for the population proportion can be computed (phat +/- z * sqrt(p*(1-p)/n) with no additional values added.
There are not 15 successes and 15 failures. A confidence interval can not be done.
There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.
There are not 15 successes and 15 failures. A confidence interval can be computed by adding 1 success and 1 failure.

Respuesta :

Answer:

Option-C

  • There are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.                                                                                    

Explanation:

  • After performing the specific form of survey in which the confidence interval for the population proportion of people that agree that private enterprise can solve US problems should be computed is defined by the following statement as there are not 15 successes and 15 failures. A confidence interval can be computed by adding 2 successes and 2 failures.

The statement that clearly explains the population proportion by its confidence intervals is an option (c) because there aren't 15 victories and 15 defeats. By adding two successes and two failures, a confidence interval can be calculated.

How is the problem need to be calculated?

The confidence interval for the population proportion of persons who think that private enterprise can address US problems should be estimated after executing the special type of survey in which the following statement is defined as there are not 15 successes and 15 failures.

By adding two successes and two failures, a confidence interval can be calculated.

For more information about confidence intervals, refer below

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