Exam 12: Chi-Square Tests

The following table shows the distribution of employees in an organization.Martha Foreman,an analyst,wants to see if race has a bearing on the position a person holds with this company. The column total for directors is _____.

In the following table,likely voters' preferences of two candidates are cross-classified by gender. At the 10% significance level,the critical value is _______.

A manufacturer of flash drives for data storage operates a production facility that runs on three 8-hour shifts per day.The following contingency table shows the number of flash drives that were defective and not defective from each shift. The expected number of not defective flash drives manufactured between 3 p.m.and 11 p.m.is ______.

A card-dealing machine deals spades (1),hearts (2),clubs (3),and diamonds (4)at random as if from an infinite deck.In a randomness check,1,600 cards were dealt and counted.The results are shown below. The p-value is _______________.

A fund manager wants to know if it is equally likely that the Dow Jones Industrial Average will go up each day of the week.For each day of the week,the fund manager observes the following number of days when the Dow Jones Industrial Average goes up. For the goodness-of-fit test,what are the degrees of freedom for the chi-squared test statistic?

A university has six colleges and takes a poll to gauge student support for a tuition increase.The university wants to ensure each college is represented fairly.The below table shows the observed number of students who participate in the poll from each college and the actual proportion of students in each college. At the 1% significance level,the critical value is _______.

In the following table,likely voters' preferences of two candidates are cross-classified by gender. Using the critical value approach,the decision and conclusion are ________________________________________.

For the Jarque-Bera test for normality,the null and alternative hypotheses are __________________________.

In the following table,individuals are cross-classified by their age group and income level. Which of the following is the expected joint probability for the "low income and 21-35 age group" cell assuming age group and income are independent?

In the following table,individuals are cross-classified by their age group and income level. The p-value is

In the following table,individuals are cross-classified by their age group and income level. Using the p-value approach and α = 0.05,the decision and conclusion are __________________________________.

Packaged candies have three different types of colors.Suppose you want to determine if the population proportion of each color is the same.The most appropriate test is the ______________________________________.

For a chi-square test of a contingency table,the degrees of freedom are calculated as (r−1)(c−1)where r and c are the number of rows and columns in the contingency table.

The following table shows the cross-classification of hedge funds by market capitalization (either small,mid,or large cap)and objective (either growth or value). a.Set up the competing hypotheses to determine if market capitalization and objective are dependent. b.Calculate the value of the test statistic and determine the degrees of freedom. c.Compute the p-value.Does the evidence suggest market capitalization and objective are dependent at the 5% significance level?

The following table shows the distribution of employees in an organization.Martha Foreman,an analyst,wants to see if race has a bearing on the position a person holds with this company. The p-value is ________________.

A university has six colleges and takes a poll to gauge student support for a tuition increase.The university wants to ensure each college is represented fairly.The below table shows the observed number of students who participate in the poll from each college and the actual proportion of students in each college. For the goodness-of-fit test,the alternative hypothesis states that __________________________________________.

The heights (in cm)for a random sample of 60 male employees of S&M Construction Company were measured.The sample mean is 166.5,the standard deviation is 12.57,the sample kurtosis is 0.12,and the sample skewness is −0.23.The value of the Jarque-Bera test statistic is ______.

Suppose Bank of America would like to investigate if the credit score and income level of an individual are independent of one another.Bank of America selected a random sample of 400 adults and asked them to report their credit score range and their income range.The following contingency table presents these results. The expected number of individuals with income between $50,000 and $100,000 and a credit score less than 650 is ________.

A researcher wants to verify his belief that smoking and drinking go together.The following table shows individuals cross-classified by drinking and smoking habits. a.Set up the competing hypotheses to determine if drinking and smoking are dependent. b.Calculate the value of the test statistic. c.Specify the critical value at the 5% significance level. d.Can you conclude smoking and drinking are dependent?

The following table shows the distribution of employees in an organization.Martha Foreman,an analyst,wants to see if race has a bearing on the position a person holds with this company. The row total for Asians is _____.