Question 1

A recent national poll showed the reading habits of adults during the last 12 months:  A poll in a small Maritime town shows the following percentages:
 The critical value of the chi-squared goodness-of-fit statistic is ___.

Accepted Answer

A)  9.49 
B)  7.82 
C)  5.99 
D)  5.82 
E)  5.49

Question 2

The decision rule in a chi-square goodness-of-fit test is to reject the null hypothesis if the computed chi-square is greater than the table chi-square.

Accepted Answer

A) True 
 B)False

Question 3

A travel agent believes that vacation destinations are independent of the region of the country that the vacationer resides. She has compiled a table with six vacation destinations and five regions throughout Canada. When applying a chi-square test of independence to this table, the number of degrees of freedom is ___.

Accepted Answer

A)  9 
B)  20 
C)  30 
D)  11 
E)  12

Question 4

Sami Schmitt believes that number of cars arriving at his Scrub and Shine Car Wash follow a Poisson distribution. He collected a random sample and constructed the following frequency distribution to test his hypothesis:  Using $\alpha$ = 0.05, the appropriate decision for this goodness-of-fit test is ___.

Accepted Answer

A)  reject the null hypothesis that the observed distribution is Poisson 
B)  reject the null hypothesis that the observed distribution is not Poisson 
C)  do not reject the null hypothesis that the observed distribution is not Poisson 
D)  do not reject the null hypothesis that the observed distribution is Poisson 
E)  do nothing

Question 5

A researcher believes that arrivals at a walk-in hair salon are Poisson distributed. The following data represent a distribution of frequency of arrivals in a one hour time period:  Using $\alpha$ = 0.10, the critical chi-square value for this goodness-of-fit test is ___.

Accepted Answer

A)  1.064 
B)  13.277 
C)  9.236 
D)  8.799 
E)  7.779

Question 6

A researcher is interested in using a chi-square test of independence to determine if age is independent of minutes spent reading. Age is divided into four categories while minutes spent reading is classified as high, medium, low. The number of degrees of freedom for this test is 12.

Accepted Answer

A) True 
 B)False

Question 7

A researcher believes that arrivals at a walk-in hair salon are Poisson distributed. The following data represent a distribution of frequency of arrivals in a one hour time period:  Using $\alpha$ = 0.10, the observed chi-square value for this goodness-of-fit test is ___.

Accepted Answer

A)  2.28 
B)  14.56 
C)  17.43 
D)  1.68 
E)  2.67

Question 8

A market researcher is interested in determining whether the age of listeners influences their preferred musical styles. The following is a contingency table from a random sample of 385 individuals:  The researcher uses $\alpha$ = 0.05. The observed chi-square value is ___.

Accepted Answer

A)  86.59 
B)  88.64 
C)  89.59 
D)  89.64 
E)  90.59

Question 9

Catherine Chao, Director of Marketing Research, is evaluating consumer acceptance of alternative toothpaste packages. She wonders whether acceptance is influenced by children in the household. Her staff prepared the following contingency table from a random sample of 100 households:  Using $\alpha$=.05, the critical value of chi-square is ___.

Accepted Answer

A)  5.02 
B)  3.84 
C)  7.37 
D)  6.09 
E)  5.99

Question 10

The null hypothesis in a chi-square goodness-of-fit test is that the observed distribution is the same as the expected distribution.

Accepted Answer

A) True 
 B)False

Question 11

In a chi-square goodness-of-fit test, actual frequencies are also called calculated frequencies.

Accepted Answer

A) True 
 B)False

Question 12

Sami Schmitt believes that number of cars arriving at his Scrub and Shine Car Wash follow a Poisson distribution. He collected a random sample and constructed the following frequency distribution to test his hypothesis:  Using $\alpha$= 0.05, the critical value of chi-square for this goodness-of-fit test is ___.

Accepted Answer

A)  9.49 
B)  7.81 
C)  7.78 
D)  11.07 
E)  12.77

Question 13

Anita Cruz recently assumed responsibility for a large investment portfolio. She wonders whether industry sector influences investment objective. Her staff prepared the following contingency table from a random sample of 200 common stocks:  Anita's null hypothesis is ___.

Accepted Answer

A)  "investment objective" is related to "industry sector" 
B)  "investment objective" influences "industry sector" 
C)  "investment objective" is not independent of "industry sector" 
D)  "investment objective" is independent of "industry sector" 
E)  "growth" and "income" are independent

Question 14

A goodness-of-fit test is to be performed to see if Web Surfers prefer any of four websites (A, B, C and D) more than the other three. A sample of 60 consumers is used. What is the expected frequency for website A?

Accepted Answer

A)  1/4 
B)  20 
C)  15 
D)  10 
E)  30

Question 15

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased. The following is a contingency table from a random sample of 300 individuals:  The estimate of the expected number of individuals with income less than $30,000 who purchase regular gasoline when income and type of gasoline are independent is ___.

Accepted Answer

A)  60 
B)  90 
C)  120 
D) 80 
E)  100

Question 16

A chi-square goodness-of-fit test is to be performed to see if data fit the Poisson distribution. There are 8 categories, and λ must be estimated. How many degrees of freedom should be used?

Accepted Answer

A)  8 
B)  7 
C)  6 
D)  5 
E)  4

Question 17

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased. The following is a contingency table from a random sample of 300 individuals:  Using $\alpha$ =.01, critical chi-square value is ___.

Accepted Answer

A)  15.09 
B)  7.88 
C)  9.21 
D)  16.81 
E)  17.89

Question 18

A market researcher is interested in determining whether the age of listeners influences their preferred musical styles. The following is a contingency table from a random sample of 385 individuals:  The researcher uses $\alpha$ = 0.05. The critical chi-square value is ___.

Accepted Answer

A)  9.8 
B)  10.9 
C)  12.6 
D)  15.5 
E)  18.7

Exam 15: Categorical Versus Categorical: Tests

A recent national poll showed the reading habits of adults during the last 12 months: A poll in a small Maritime town shows the following percentages: The critical value of the chi-squared goodness-of-fit statistic is ___.

The decision rule in a chi-square goodness-of-fit test is to reject the null hypothesis if the computed chi-square is greater than the table chi-square.

A researcher believes that arrivals at a walk-in hair salon are Poisson distributed. The following data represent a distribution of frequency of arrivals in a one hour time period: Using α\alphaα = 0.10, the critical chi-square value for this goodness-of-fit test is ___.

A researcher is interested in using a chi-square test of independence to determine if age is independent of minutes spent reading. Age is divided into four categories while minutes spent reading is classified as high, medium, low. The number of degrees of freedom for this test is 12.

A researcher believes that arrivals at a walk-in hair salon are Poisson distributed. The following data represent a distribution of frequency of arrivals in a one hour time period: Using α\alphaα = 0.10, the observed chi-square value for this goodness-of-fit test is ___.

A market researcher is interested in determining whether the age of listeners influences their preferred musical styles. The following is a contingency table from a random sample of 385 individuals: The researcher uses α\alphaα = 0.05. The observed chi-square value is ___.

The null hypothesis in a chi-square goodness-of-fit test is that the observed distribution is the same as the expected distribution.

In a chi-square goodness-of-fit test, actual frequencies are also called calculated frequencies.

Anita Cruz recently assumed responsibility for a large investment portfolio. She wonders whether industry sector influences investment objective. Her staff prepared the following contingency table from a random sample of 200 common stocks: Anita's null hypothesis is ___.

A goodness-of-fit test is to be performed to see if Web Surfers prefer any of four websites (A, B, C and D) more than the other three. A sample of 60 consumers is used. What is the expected frequency for website A?

A chi-square goodness-of-fit test is to be performed to see if data fit the Poisson distribution. There are 8 categories, and λ must be estimated. How many degrees of freedom should be used?

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased. The following is a contingency table from a random sample of 300 individuals: Using α\alphaα =.01, critical chi-square value is ___.

A market researcher is interested in determining whether the age of listeners influences their preferred musical styles. The following is a contingency table from a random sample of 385 individuals: The researcher uses α\alphaα = 0.05. The critical chi-square value is ___.