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Chapter 8: Q. 9.102 (page 389)

Exercises 9.101-9.106 pertain to P-values for a one-mean t-test. For each exercise, do the following tasks,

a. Use Table IV in Appendix A to estimate the P-value,

b. Based on your estimate in part (a), state at which significance levels the null hypothesis can be rejected, at which significance levels it cannot be rejected, and at which significance levels it is not possible to decide

Right-tailed test,n=11andt=1.246

Short Answer

Expert verified

Part (a) P>0.10

Part (b)We can not rejectH0at any significance level of0.10or smaller.

Step by step solution

01

Part (a) Step 1. Given information

The given Right-tailed testn=11,t=1.246

02

Part (a) Step 2. Use Table IV in Appendix A to estimate the P-value 

Because the test is right tailed, the P-value (P)is the area under the t-curve with

df=11-1=10

that lies to the right of observedt- value, t0=1.246;
i.e.P=P(t>t0), wheret~t10.
In thedf=10row of the table-IV, we can see that the observed t-value1.246is less thant0.10=1.372. Therefore the area under the t-curve that lies to the right oft0=1.246is greater than0.10.
Hence, P>0.10
03

Part (a) Step 1. Given information

The given right-tailed testn=11,t=1.246

04

Part (b) Step 2. Based on your estimate in part (a), state at which significance levels the null hypothesis can be rejected, at which significance levels it cannot be rejected, and at which significance levels it is not possible to decide 

We can not rejectH0at any significance level of0.10or smaller.We can not rejectat any significance level ofor smaller.

For significance levels larger than 0.10, table-IV is not sufficiently detailed to help us to decide whether to rejectH0.

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Most popular questions from this chapter

P-Values. In Exercises 17–20, do the following:

a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.

b. Find the P-value. (See Figure 8-3 on page 364.)

c. Using a significance level of α= 0.05, should we reject or should we fail to reject ?

The test statistic of z = 1.00 is obtained when testing the claim that p>0.3.

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b. Find the P-value. (See Figure 8-3 on page 364.)

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

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Testing Hypotheses. In Exercises 13–24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.

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