Beyond Common Core
Problem 38 of 45s12-038
A city says 60% of its residents recycle. A council member thinks the true share is higher and will survey a random sample of residents. Which hypotheses should she test?
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Solution walkthrough1:50
- The claim is about all residents, so the hypotheses use the parameter , not the sample share .
- The null hypothesis is the claim being tested, with an equals sign: .
- The alternative is what she suspects: the share is higher, so .
- Later, the p-value is the chance, if is true, of a sample share at least as high as hers.
- Traps: points the wrong way, is a sample value, and the equals sign belongs in .