Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!

# Doing homework 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 $\hat{p}$ would be consistent with the claim thatthe population proportion of students who completed all their homework is $p=0.60 ?$ 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 $\hat{p}$ of students who did all their homework.(a) Is this the sampling distribution of $\hat{p} ?$ Justify your answer.(b) Describe the distribution. Are there any obvious outliers?(c) Suppose that 45 of the 100 students in the actual sample say that they did all their homework last week. What would you conclude about the newspaper article's claim? Explain.

## (a) No.(b) Shape: unimodal, symmetric, bellCenter: $.5575$shapedSpread: $0.5$ and $0.712$Outliers: $0.73$(c) False.

#### Topics

Sampling and Data

### Discussion

You must be signed in to discuss.