When testing whether the majority of voters in an electorate will vote for a particular candidate, which of the following sets of hypotheses are correct? A)Ho: p = 0.50 HA: p 0.50 HA: p = 0.50 C)Ho: p = 0.50 HA: p 0.50 D)None of these choices are correct

Question

When testing whether the majority of voters in an electorate will vote for a particular candidate, which of the following sets of hypotheses are correct?
A)Ho: p = 0.50 HA: p < 0.50
B)Ho: p > 0.50 HA: p = 0.50
C)Ho: p = 0.50 HA: p > 0.50
D)None of these choices are correct

Quizplus · Accepted Answer

The null hypothesis (Ho) should always state that a parameter is equal to a certain value, and the alternative hypothesis (HA) should state whether the parameter is greater than, less than, or not equal to that value. In this case, the null hypothesis is that the proportion (p) of voters who will vote for the particular candidate is equal to 0.50 (which represents no majority), and the alternative hypothesis should state that the proportion is greater than 0.50 (which represents a majority). Therefore, choice C is the correct set of hypotheses.

When Testing Whether the Majority of Voters in an Electorate