Provide an Appropriate Response $98 \%$ Confidence Interval for the Proportion of College Seniors Who Are

question 104

Multiple Choice

Provide an appropriate response.
-A survey of 1010 college seniors working towards an undergraduate degree was conducted. Each student was asked, "Are you planning or not planning to pursue a graduate degree?" Of the 1010 surveyed, 658 stated that they were planning to pursue a graduate degree. Construct and interpret a $98 \%$ confidence interval for the proportion of college seniors who are planning to pursue a graduate degree.

• A) \(( 0.616,0.686 )\); we are \(98 \%\) confident that the proportion of college seniors who are planning to pursue a graduate degree is between \(0.616\) and \(0.686\).
• B) \(( 0.620,0.682 )\); we are \(98 \%\) confident that the proportion of college seniors who are planning to pursue a graduate degree is between \(0.620\) and \(0.682\).
• C) \(( 0.621,0.680 )\); we are \(98 \%\) confident that the proportion of college seniors who are planning to pursue a graduate degree is between \(0.621\) and \(0.680\).
• D) \(( 0.612,0.690 )\); we are \(98 \%\) confident that the proportion of college seniors who are planning to pursue a graduate degree is between \(0.612\) and \(0.690\).

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Definitions:

Guiding Principles

Fundamental norms, rules, or values that represent what is desirable and positive for a person, group, organization, or community, and help it in determining the rightfulness or wrongfulness of its actions.

Parliamentary Consent

The approval or agreement by a parliament, especially required for legalizing legislation or decisions made by the government.

House of Commons

The lower house of the Parliament of the United Kingdom, consisting of Members of Parliament (MPs) who represent constituencies and are directly elected.

Taxes

A compulsory financial charge or some other type of levy imposed on a taxpayer by a governmental organization in order to fund government spending and various public expenditures.