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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

The City of South Lake Tahoe, CA, has an Asian population of 1,419people, out of a total population of 23,609. Suppose that a survey of 1,419self-reported Asians in the Manhattan, NY, area yielded the data in Table 11.38. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area.

RaceLake Tahoe FrequencyManhattan FrequencyAsian Indian131174Chinese118557Filipino1,045518Japanese8054Korean1229Vietnamese921Other2466

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 manager of a sports club keeps information concerning the main sport in which members participate and their ages. To test whether there is a relationship between the age of a member and his or her choice of sport, 643members of the sports club are randomly selected. Conduct a test of independence.

Sport18-2526-3031-4041andover
racquetball42583046
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chi-square test statistic = ________

A 2013poll in California surveyed people about taxing sugar-sweetened beverages. The results are presented in the Table and are classified by ethnic group and response type. Are the poll responses independent of the participants’ ethnic group? Conduct a test of independence at the 5%significance level.

OpinionlEthnicityAsian-AmericanWhite/Non-HispanicAfrican-AmericanLatinoRowTotalAgainst tax4843341160682In Favor of tax5423424147459No opinion1643161994Column Total118710813261235

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.

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