In the Last Mayoral Election in a Large City,47% of the Adults

question 67

Multiple Choice

In the last mayoral election in a large city,47% of the adults over the age of 65 voted Republican.A researcher wishes to determine if the proportion of adults over the age of 65 in the city who plan to vote Republican in the next mayoral election has changed.Let p represent the proportion of the population of all adults over the age of 65 in the city that plan to vote Republican in the next mayoral election.In terms of p,the researcher should test which of the following null and alternative hypotheses?

• A)H₀: p = 0.47 vs.H_a: p < 0.47
• B)H₀: p = 0.47 vs.H_a: p  0.47
• C)H₀: p = 0.47 vs.H_a: p > 0.47

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Definitions:

Majority System

A voting system in which a candidate or proposition must receive more than half of the votes to win.

Electoral College Vote

A process used in the United States to elect the president and vice-president, where electors from each state vote based on the popular vote within their state.

Popular Vote

The total number of votes cast by citizens in an election, as opposed to electoral college votes or legislative votes.

American History

The study and account of past events, developments, and experiences in the United States from its founding to the present day.