Question

In Exercises 4-6, do the following a) State the null and alternative hypotheses, and identify which represents the claim. b) Determine when a type I or type Il error occurs for a hypothesis test of the claim. c) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. d) Explain how you should a decision that rejects the null hypothesis e) Explain how you should interpret a decision that fails to reject the null hypothesis. 4. A news outlet reports that the proportion of Americans who support plant ot order deep cuts in executive compensation at companies that have received federal bailout funds is 71%. 5. An agricultural cooperative guarantees that the mean shelf life of a certain type of dried fruit is at least 400 days. 6. An energy bar maker claims that the mean number of grams of carbohydrates in one bar is less than 25.

Answer 1

dear student, please post one question at a time. We can answer you with one question followed by 4 subquestions at a time.

4) a) the null hypothesis:

Ho : p = 0.71

The null hypothesis represents the claim, as the claim that is made here is that the proportion of Americans who support plant at ordered deep cuts in executive compensation at companies that have received federal bailout funds is 71%.

alternate hypothesis:

H, . P 071

b) a type I error is the rejection of a true null hypothesis, while a type II error is the failure to reject a false null hypothesis.

Here Type I error means that the claim made is true while we have rejected the claim.

Type II error means that the claim made is false while we have made the decision that claim made is true.

c) The hypothesis test is a two-tailed test, as we need to test if the population proportion is 0.71 or not.

d)The test is significant, as we reject the null hypothesis. Hence we have evidence that the proportion of Americans who support plant at ordered deep cuts in executive compensation at companies that have received federal bailout funds is not 71%.

e) the test is not significant, as we fail to reject the null hypothesis. Hence we have no evidence to reject the claim that the proportion of Americans who support plant at ordered deep cuts in executive compensation at companies that have received federal bailout funds is 71%.