The student senate at a local university is about to hold elections. A represent

Question

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 and early polling results are presented next. 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 Z-test of two sample proportions with a zero hypothesized difference.

A t-test of two sample proportions with a zero hypothesized difference.

A t-test of two population proportions with a zero hypothesized difference.

A Z-test of two sample proportions with a zero hypothesized difference.

Explanation / Answer

here as we are testing if there are difference in favour proportion fr two candidates

correct option:

A Z-test of two population proportions with a zero hypothesized difference.

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