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Chapter 11: Q. 42 (page 657)

State the decision and conclusion (in a complete sentence) for the following preconceived levels of \(\alpha\).

\(\alpha=0.01\)

a. Decision:____

b. Reason for the decision:____

c. Conclusion:(write out in complete sentence):___

Short Answer

Expert verified

Part a. Decision: here \(\alpha=0.01\) so 鈥渞eject the null hypothesis鈥�.

Part b. Reason for the decision: \(p-value<\alpha\) so \(p-\)value is \(0\).

Part c. Conclusion (write out in a complete sentence): reject the null hypothesis so the alternative got accepted so there is sufficient evidence to conclude that smoking level is dependent on the ethnic group.

Step by step solution

01

Part a. Step 1. Explanation

\(\alpha=0.01\)

Decision: here \(\alpha=0.01\) so 鈥渞eject the null hypothesis鈥�.

02

Part b. Step 1. Explanation

\(\alpha=0.01\)

Reason for the decision: \(p-value<\alpha\) so \(p-\)value is \(0\).

03

Part c. Step 1. Explanation

\(\alpha=0.01\)

Conclusion (write out in a complete sentence): reject the null hypothesis so the alternative got accepted so there is sufficient evidence to conclude that smoking level is dependent on the ethnic group.

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Most popular questions from this chapter

Table 11.42contains information from a survey among 499participants classified according to their age groups. The second column shows the percentage of obese people per age class among the study participants. The last column comes from a different study at the national level that shows the corresponding percentages of obese people in the same age classes in the USA. Perform a hypothesis test at the 5% significance level to determine whether the survey participants are a representative sample of the USA obese population.

Age Class (Years) Obese Expected (percentage) Obese Observed (Frequencies)
20-30
22.4
122
31-40
18.6
104
41-50
12.8
78
51-60
10.4
64
61-70
35.8
168

Table11.42

In general, if the observed values and expected values of a goodness-of-fit test are not close together, then the test statistic can get very large and on a graph will be way out in the right tail.

Airline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment. They are also interested in the variation of the number of babies. Suppose that an airline executive believes the average number of babies on flights is six with a variance of nine at most. The airline conducts a survey. The results of the 18 flights surveyed give a sample average of 6.4 with a sample standard deviation of 3.9. Conduct a hypothesis test of the airline executive鈥檚 belief.

Suppose that 600thirty-year-olds were surveyed to determine whether or not there is a relationship between the level of education an individual has and salary. Conduct a test of independence

AnnualSalaryNot a high schoolgraduateHigh schoolgraduateCollegegraduateMasters ordoctorate<\(30,0001525105\)30,000-\(40,00020407030\)40,000-\(50,00010204055\)50,000-\(60,0005102060\)60,000+0510150

Read the statement and decide whether it is true or false.

In a goodness of fit test, if the p-value is 0.0113, in general, do not reject the null hypothesis
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