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AP Statistics / Mr. Hansen |
Name: _________________________________ |
Test #7 (4/15/1999)
General Instructions: Treat each problem as if it were an AP exam free-response question. In other words, write all of the necessary parts, show all of the necessary work, and write a good conclusion. If you have any question about what is expected, please check the board. (Try testing yourself, though, since the board prompts won’t be available during the actual AP exam.)
IN-CLASS PORTION
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1. |
In a random sample of 525 potential voters interviewed 3 weeks before the Missouri senatorial election, 313 said they favored the incumbent. After the challenger made some unwise remarks in a speech 1 week before the election, a new random sample of 553 voters showed that 352 supported the incumbent. Do these data support the conclusion that support for the incumbent increased after the challenger made the unwise remarks? Give appropriate statistical evidence to support your answer. |
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2. |
An enterprising STA student set out to study scientifically whether people’s likelihood of bringing an umbrella on rainy days (assuming they came to school at all) was related to form. Over several rainy days, the researcher surveyed an SRS of students to ascertain whether they had brought an umbrella and obtained the following counts: |
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Form III |
Form IV |
Form V |
Form VI |
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no umbrella |
4 |
11 |
14 |
22 |
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broken umbrella |
7 |
5 |
3 |
2 |
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working umbrella |
17 |
10 |
6 |
6 |
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a) |
Summarize what you notice about the data. Give appropriate statistical descriptions. |
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b) |
Is the pattern of umbrella usage independent of form? Give appropriate statistical evidence to support your answer. |