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?
This is new to me and I don't understand it not even a little! Please Help and Thank you.
a. The population parameter of interest in this scenario would be the proportion or percentage 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 or sample percentage of voters who indicate that they will vote for the candidate.
To calculate the sample proportion, you would divide the number of voters indicating they will vote for the candidate (35) by the total number of voters (150). This gives you the proportion of voters in the sample who support the candidate.
To calculate the sample percentage, you would multiply the sample proportion by 100 to convert it to a percentage. In this case, it would be (35/150) * 100 = 23.33%.
So, the sample statistic that might be used to estimate the population parameter is the sample proportion of 35/150 or the sample percentage of 23.33%. This provides an estimate of the proportion or percentage of all voters who would support the candidate.