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Chapter 11: Q.6 (page 653)

Determine the appropriate test to be used in the next three exercises.

An archeologist is calculating the distribution of the frequency of the number of artifacts she finds in a dig site. Based on

previous digs, the archeologist creates an expected distribution broken down by grid sections in the dig site. Once the site has been fully excavated, she compares the actual number of artifacts found in each grid section to see if her expectation was accurate.

Short Answer

Expert verified

The goodness-of-fit test is the best and most relevant test that can be applied here.

Step by step solution

01

Given Information

Given in the question that an archeologist is calculating the distribution of the frequency of the number of artifacts she finds in a dig site. Based on previous digs, the archeologist creates an expected distribution broken down by grid sections in the dig site. Once the site has been fully excavated, she compares the actual number of artifacts found in each grid section to see if her expectation was accurate. we have to determine the appropriate test .

02

Explanation

In this scenario, the archaeologist wishes to determine if her prediction was correct by comparing the actual number of artefacts recovered in each grid section to the expected frequencies. Therefore, one may say that goodness-of-fit test is the best and most relevant test that can be applied here.

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Most popular questions from this chapter

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

In a goodness-of-fit test, the expected values are the values we would expect if the null hypothesis were true.

Suppose an airline claims that its flights are consistently on time with an average delay of at most 15minutes. It claims that the average delay is so consistent that the variance is no more than 150minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25flights. The average delay for those 25flights is 22minutes with a standard deviation of 15minutes.

If an additional test were done on the claim of the average delay, but 45 flights were surveyed, which distribution would you use?

Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places.

A recent debate about where in the United States skiers believe the skiing is best prompted the following survey. Test to see if the best ski area is independent of the level of the skier.

U.S. Ski AreaBeginnerIntermediateAdvanced
Tahoe203040
Utah10
3060
Colorado1040 50

Table11.43

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

p-value = ________
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