For assessing support levels, the senator should use a one-sample proportion test in hypothesis testing. This method helps determine whether more than 60% of voters view her favorably based on a random sample, providing a statistical inference about the entire population.
The correct answer is option C.
To assess whether more than 60% of voters view her favorably, the senator should employ hypothesis testing, specifically a one-sample proportion test. This statistical method is suitable for situations involving a binary outcome, such as whether voters view her favorably or unfavorably.
In the one-sample proportion test, the senator would formulate two hypotheses: a null hypothesis (H0) that assumes the proportion of favorable views is 60% or less, and an alternative hypothesis (H1) that suggests the proportion is greater than 60%. She would then collect a random sample of voters' opinions and calculate the sample proportion. By comparing the sample proportion to the critical value or p-value associated with the null hypothesis, she could determine if there is enough evidence to reject the null hypothesis and conclude that more than 60% of voters view her favorably.
This method allows the senator to make a statistical inference about the population based on the sample data, providing a quantitative assessment of her level of support among voters.
Therefore , from the given options the correct one is C.
The question probable may be:
A senator is thinking about running for president. But she will only do so if more than 60% of the voters view her favorably. She gathers some data to see if she has this level of support. Which statistical method would be best for her to use?
A) Two-sample t-test
B) Chi-square test
C) One-sample proportion test
D) Analysis of variance (ANOVA)