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 would be the proportion of voters who will vote for the candidate.
b. The value of the sample statistic that might be used to estimate the population parameter is the sample proportion, which is calculated as the number of voters who indicate they will vote for the candidate divided by the total number of voters. In this case, the sample proportion would be:
Sample proportion = Number of voters who will vote for the candidate / Total number of voters
Therefore, the sample proportion would be:
Sample proportion = 35 / 150 = 0.2333 (rounded to four decimal places)