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Identifying Errors In Exercises 32, write a sentence describing type I and type II
errors for a hypothesis test of the indicated claim.
32. ER Visits A hospital spokesperson states that 2% of emergency room visits by college undergraduates are for alcohol-related health problems.
Type I error: reject [pic]: p=2% when actually p=2%
Type II error: Not reject [pic]: p=2% when actually p≠2%
Example:
31. Chess A local chess club claims that the length of time to play a game has a standard deviation of more than 23 minutes.
[pic]
Testing Claims In Exercise 42 (a) write the claim mathematically and identify H0 and Ha’, (b) find the critical values and identify the rejection regions,
(c) find the standardized test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.
Example:
[pic]
[pic]
42. Sodium Content in Cereal In your work for a national health organization, you are asked to monitor the amount of sodium in a certain brand of cereal.
You find that a random sample of 52 cereal servings has a mean sodium content of 232 milligrams with a standard deviation of 10 milligrams. At a=0.04 can you conclude that the mean sodium content per serving of cereal is less than 230 milligrams?
a. [pic]: µ[pic]230, [pic]: µ[pic]230
b. [pic], rejection region: z ................
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