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Chapter 11: Q.32 (page 656)

What can you conclude at the 5% level of significance?

Short Answer

Expert verified

Take decision that "reject the null hypothesis H0"because p-value <αso the given p-value is 0 so the "null hypothesis" was rejected, but the alternate hypothesis was approved, therefore there will be enough evidence to show that a passenger's ticket class selection is based on the distance they must go.

Step by step solution

01

Given Information

Given data:

ABCDE1Given Table (Observed Frequency)2Traveling DistanceThird ClassSecond ClassFirst ClassTotal31-100miles21146414101-200miles18168425201-300miles161715486301-400miles121421477401-500miles6610228Total736760200

02

Explanation

Take decision that "reject the null hypothesis H0"because p-value <αso the given p-value is 0 so the "null hypothesis" was rejected, but the alternate hypothesis was approved, therefore there will be enough evidence to show that a passenger's ticket class selection is based on the distance they must go.

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Most popular questions from this chapter

A sample of 212commercial businesses was surveyed for recycling one commodity; a commodity here means any one type of recyclable material such as plastic or aluminum. Table 11.41shows the business categories in the survey, the sample size of each category, and the number of businesses in each category that recycle one commodity. Based on the study, on average half of the businesses were expected to be recycling one commodity. As a result, the last column shows the expected number of businesses in each category that recycle one commodity. At the 5% significance level, perform a hypothesis test to determine if the observed number of businesses that recycle one commodity follows the uniform distribution of the expected values.

Business
Type		Number in
class		Observed Number that recycles one commodityExpected number that recycles one commodity
office35
19
17.5
Retail/
Wholesale		48
27
24
Food/
Restaurants		53
35
26.5
Manufacturing/
Medical		52
21
26
Hotel/Mixed24
9
12

Table 11.41

What can you conclude at the 5% significance level ?

A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.

a. Explain why a goodness-of-fit test and a test of independence are generally right-tailed tests.

b. If you did a left-tailed test, what would you be testing?

Letα=0.05

Decision: ________

Conclusion (write out in a complete sentence.): ________
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