The Student Senate at a Local University Is About to Hold

question 35

Multiple Choice

The student senate at a local university is about to hold elections. A representative from the women's sports program and a representative from the men's sports program must both be elected. Two candidates, an incumbent and a challenger, are vying for each position. A hypothesis test must be performed to determine whether the percentages of supporting votes are different between the two incumbent candidates. In a sample of 100 voters, 67 said that they would vote for the women's incumbent candidate. In a separate sample of 100 voters, 55 said they would vote for the men's incumbent candidate. Let p₁ and p₂ be the proportions of supporting votes for the incumbent candidates representing women's and men's sports programs, respectively. Which of the following hypothesis tests must be performed to determine whether the percentages of supporting votes are different between the two incumbent candidates?

• A) A z test of two sample proportions with a zero hypothesized difference.
• B) A t test of two population proportions with a zero hypothesized difference.
• C) A z test of two population proportions with a zero hypothesized difference.
• D) A t test of two population proportions with a nonzero hypothesized difference.

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Definitions:

Purposeful Lifestyle

Leading a life marked by intentional and meaningful actions that reflect one's values and goals.

Sacraments

Sacred religious rites recognized as means of divine grace, such as baptism and communion, in Christian theology.

Spiritual Needs

The intrinsic human quest for meaning, purpose, and connection to something greater than oneself, which can be crucial for well-being.

Decisional Conflict

The psychological state of uncertainty and indecision faced by individuals when making complex decisions, especially when the choices involve risk, loss, or challenge to personal values.