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 p^ would be consistent with the claim that the 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 p^ of students who did all their homework

a) There is one dot on the graph at 0.73. Explain what this value represents.

(b) Describe the distribution. Are there any obvious outliers?

(c) Would it be surprising to get a sample proportion of 0.45 or lower in an SRS of size 100 when p = 0.6?
Justify your answer.

(d) 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.

Transcribed Image Text:

0000 0000 00000 00 0000 00 000 0000 0000000 00 0.45 0.50 0.55 0.60 0.65 0.70 0.75 proportion_yes