The question
Name: ______________________ Date: ____________ Has nightly homework dropped? A one-proportion z test (10 points)
Table
Homework survey of high school seniors
Three years ago, a state survey found that 40% of the state's high school seniors did at least one hour of homework on a typical school night. Education officials believe this proportion has gone down. This year they selected a random sample of 600 of the state's 120,000 seniors; 213 of them said they do at least one hour of homework on a typical school night. The officials will use a significance level of .
| Seniors sampled | At least one hour of homework | Sample proportion |
|---|---|---|
| 600 | 213 |
(a) Identify the appropriate significance test by name, and state the null and alternative hypotheses, defining the parameter in context. [3 points]
(b) Justify that the conditions for this test are met. [2 points]
(c) Calculate the test statistic and the p-value. Show the expression you used, with the values substituted. [3 points]
(d) Justify a conclusion in the context of this study, using . [2 points]