Chapter 7.1, Problem 15E

To determine

To find: the convincing evidence that less than 60% of all students at the school completed all their assigned homework last week, explains.

Answer to Problem 15E

No

Explanation of Solution

By seeing the dot plot, it is observed that each dot in the given dot plot represents a sample proportion $\widehat{p}$ for a simple random sample with 100 students, while the sample proportion represents the proportion who completed their assigned homework last week in the sample.

It is observed that there are many dots above $0.57$ in the given dot plot and there are also many dots to the left of $0.57$ .this then indicates that it is very likely that the sample proportion is $\widehat{p}=0.57$ when the population proportion is actual $p=0.60$ and therefore it would not be surprised if it obtained a sample with sample proportion $\widehat{p}=0.57$ .

This then also means that there is no convincing evidence that less than 60% of students at the school completed their assigned homework last week.