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?
would this be right?
the population parameter of interest is 45%?
the value of the sample statistic is 50%??
To determine the population parameter of interest, you need to identify what aspect of the population you want to measure or estimate. In this scenario, the population parameter of interest is the proportion or percentage of the entire population that supports the candidate.
a. The population parameter of interest would be the proportion or percentage of voters who support the candidate.
Next, let's calculate the value of the sample statistic that might be used to estimate the population parameter.
b. To estimate the population proportion, also known as the sample statistic, you would use the percentage of voters in the sample who support the candidate.
In this case, the proportion of voters who support the candidate is 35 out of 150 voters. To convert this into a percentage, divide 35 by 150 and multiply the result by 100:
(35/150) * 100 = 23.33%
Therefore, the value of the sample statistic that might be used to estimate the population parameter is approximately 23.33%.
So, it seems that your initial estimates are not accurate. The population parameter of interest is the proportion or percentage of voters who support the candidate, and the value of the sample statistic is the estimated percentage of voters in the sample who support the candidate (which is around 23.33% in this case).