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Use the following information to answer the next two exercises: The columns in Table contain the

Race/Ethnicity of U.S. Public Schools for a recent year, the percentages for the Advanced Placement Examinee Population for that class, and the Overall Student Population. Suppose the right column contains the result of a survey of 1,000 local students from that year who took an AP Exam.

Islander 10.20%5.40%113Black or African-American 8.20%14.50%94Hispanic or Latino 15.50%15.90%136 American Indian or Alaska Native0.60%1.20%10White 59.40%61.60%604Not reported/other 6.10%1.40%43

Perform a goodness-of-fit test to determine whether the local results follow the distribution of U.S. AP examinee population, based on ethnicity.

Short Answer

Expert verified

The data are insufficient to determine if the local result are representative of the AP examinee population in the U.s.. The data are insufficient to determine if the local results are representative of the AP examinee population in the U.s..

Step by step solution

01

Given Information

Given information are in the table

Total frequency is 1000

02

Explanation

Degree of freedom df = n-1

χ2=k(O-E)2E

H0=The local results follow the distribution of the U.S. AP examinee population

Ha=The local results do not follow the distribution of the U.S. AP examinee population

df =6-1=5

χ2=13.43

α=0.05

p=0.0199

When, α=0.05the null hypothesis is rejected since pequals <a. As a result, the local results do not match the distribution of the AP examinee population across the United States.

Whenα=0.01, the null hypothesis is not rejected. As a result, the data are insufficient to determine if the local results are representative of the US AP examinee population.

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Most popular questions from this chapter

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

Perform a goodness-of-fit test to determine whether the local results follow the distribution of U.S. AP examinee population, based on ethnicity.

Teachers want to know which night each week their students are doing most of their homework. Most teachers think that students do homework equally throughout the week. Suppose a random sample of 56 students were asked on which night of the week they did the most homework. The results were distributed as in Table 11.8.SundayMondayTuesdayWednesdayThursdayFridaySaturdayNumber ofStudents1181071055

From the population of students, do the nights for the highest number of students doing the majority of their homework occur with equal frequencies during a week? What type of hypothesis test should you use?

An ice cream maker performs a nationwide survey about favorite flavors of ice cream in different geographic areas of the U.S. Based on the Table, do the numbers suggest that geographic location is independent of favorite ice cream flavors? Test at the 5%significance level.

USRegionStraChocoVanRockyRoadMintChocolateChipPistachioTotalWest1221221915897Midwest1032221115696East83127815796South1528308156102Total45112101466027391

Is it more likely the dfis90,20,or2in the graph?

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