5. A school newspaper article claims that 60% of the students at a large high school did all their assigned homework last week. Some skeptical AP Statistics students want to investigate whether this claim is true, so they choose an SRS of 100 students from the school to interview. What values of the sample proportion To find out, we used Fathom software to simulate choosing 250 SRSs of size n = 100 students from a population in which p = 0.60. The figure below is a dotplot of the sample proportion of students who did all their homework.

Question

5. A school newspaper article claims that 60% of the students at a large high school did all their assigned homework last week. Some skeptical AP Statistics students want to investigate whether this claim is true, so they choose an SRS of 100 students from the school to interview. What values of the sample proportion To find out, we used Fathom software to simulate choosing 250 SRSs of size n = 100 students from a population in which p = 0.60. The figure below is a dotplot of the sample proportion of students who did all their homework.

( the dot plot will not show up but you can google the question and it does)
(a) Is this the sampling distribution of p hat?
1) yes, this is an approx sampling distribution
2) no, it is a population distributipm
3) no this is a distribution of a sample

Is the correct answer 3)?

Answer 1

Yes, the correct answer is 3) no, this is a distribution of a sample.

The dotplot shown in the figure represents the distribution of the sample proportion of students who did all their homework in the 250 samples of 100 students each. This is not the sampling distribution of p-hat.

The sampling distribution of p-hat is a distribution that shows the possible values of the sample proportion p-hat that could be obtained from all possible samples of the same size. It represents the variability of the sample proportions that could be obtained from repeated sampling.

In this case, the dotplot represents the distribution of one sample proportion p-hat from each of the 250 samples, rather than the distribution of all possible sample proportions. Therefore, it is a distribution of a sample.

Answer 2

Yes, the correct answer is 3) no, this is a distribution of a sample. The dot plot represents the distribution of the sample proportion, p hat, which is obtained from multiple SRSs of size n = 100. It shows the variations in the sample proportion among the different samples, which is not the same as the theoretical sampling distribution of p hat.

Answer 3

the answer is in this website below:

www.whiteplainspublicschools.org/cms/lib/NY01000029/Centricity/Domain/1803/Parameter%20Statistic%20Sampling%20Distribution%20Key.pdf