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Chapter 8: Q. 9.56 (page 370)

We have given the P-value for a hypothesis test. For each exercise determine the strength of the evidence against null hypothesis.

GivenP-value=0.35

Short Answer

Expert verified

The P-value in this case is 0.06, which is higher than 0.10.
As can be seen from the conditions, there is some evidence against the null hypothesis.

Step by step solution

01

Step 1. Given

The givenP-value=0.35

02

Step 2. Conditions for evaluating strength of the evidence 

Criteria for testing the strength of evidence from P values:

0.10<P-value,weak or no evidence to contradict the null hypothesis.

0.05<P-value≤0.10,intermediate evidence contradict the null hypothesis.

0.01<P-value<0.05,strong evidence contradict the null hypothesis.

P-value≤0.01,the strongest evidence contradict the null hypothesis.

03

Step 3. Conclusion

The P-value in this case is 0.06, which is higher than 0.10.

That is, 0.10<P-value(=0.35)

As can be seen from the conditions, there is some evidence against the null hypothesis.

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Most popular questions from this chapter

Hypothesis Test with Known σ How do the results from Exercise 13 “Course Evaluations” change if σis known to be 0.53? Does the knowledge of σ have much of an effect?

Critical Values. In Exercises 21–24, refer to the information in the given exercise and do the following.

a. Find the critical value(s).

b. Using a significance level of = 0.05, should we reject H0or should we fail to reject H0?

Exercise 17

A formal hypothesis test is to be conducted using the claim that the mean height of men is equal to 174.1 cm.

a. What is the null hypothesis, and how is it denoted?

b. What is the alternative hypothesis, and how is it denoted?

c. What are the possible conclusions that can be made about the null hypothesis?

d. Is it possible to conclude that “there is sufficient evidence to support the claim that the mean height of men is equal to 174.1 cm”?

df If we are using the sample data from Exercise 1 for a t-test of the claim that the population mean is greater than 90sec, What does df denote, and what is its value?

In Exercises 9–12, refer to the exercise identified. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favours heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favours heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).

Exercise 5 “Online Data”
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