# Question

Suppose that we want to test the null hypothesis that an antipollution device for cars is effective.

(a) Explain under what conditions we would commit a type I error and under what conditions we would commit a type II error.

(b) Whether an error is a type I error or a type II error depends on how we formulate the null hypothesis. Rephrase the null hypothesis so that the type I error becomes a type II error, and vice versa.

(a) Explain under what conditions we would commit a type I error and under what conditions we would commit a type II error.

(b) Whether an error is a type I error or a type II error depends on how we formulate the null hypothesis. Rephrase the null hypothesis so that the type I error becomes a type II error, and vice versa.

## Answer to relevant Questions

Rework Example 12.3 with (a) β = 0.03; (b) β = 0.01. 12.38. Example 12.3 With reference to Example 12.2, determine the minimum sample size needed to test the null hypothesis µ0 = 10 against the alternative hypothesis ...Verify the statement on page 343 that 57 heads and 43 tails in 100 flips of a coin do not enable us to reject the null hypothesis that the coin is perfectly balanced (against the alternative that it is not perfectly ...Let X1 and X2 constitute a random sample of size 2 from the population given by If the critical region x1x2 ≥ 3/4 is used to test the null hypothesis θ = 1 against the alternative hypothesis θ = 2, what is the power of ...Show that the following computing formula for x2 is equivalent to the formula on page 372: According to the norms established for a reading comprehension test, eighth graders should average 84.3 with a standard deviation of 8.6. If 45 randomly selected eighth graders from a certain school district averaged 87.8, ...Post your question

0