A candidate for a political office claims that he will win the election. A poll is conducted, and 35 of 150 voters indicate that they will vote for the candidate, 100 voters indicate that they will vote for his opponent, and 15 voters are undecided.
a. What is the population parameter of interest?
b. What is the value of the sample statistic that might be used to estimate the population parameter?
a. The population parameter of interest in this case is the proportion of voters in the entire population who would vote for the candidate.
b. To estimate the population parameter, we can use the sample statistic of the proportion of voters indicating support for the candidate. In this case, the sample statistic would be the proportion of 35 out of 150 voters who said they will vote for the candidate. This can be calculated as:
Sample proportion = Number of voters supporting the candidate / Total number of voters
Sample proportion = 35 / 150 = 0.2333 (rounded to four decimal places)
Therefore, the sample statistic that might be used to estimate the population parameter is 0.2333.