Consumer panel preferences for three proposed fast food restaurants are as follows: \[\begin{array} { | c | c | c | } \hline \text { Restaurant } \mathrm { A } & \text { Restaurant B } & \text { Restaurant C } \\ \hline 48 & 62 & 40 \\ \hline \end{array}\] Using the 0.05 level of significance, test to see if there is a preference among the three restaurants.

@#LAT-DLM& . @#LAT-DLM& At least two proportions d

A biology professor claimed that the proportions of grades in his classes are the same. A sample of 100 students showed the following frequencies. \[\begin{array} { | l | c | c | c | c | c | } \hline \text { Grade } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \\ \hline \text { Frequency } & 14 & 23 & 27 & 26 & 10 \\ \hline \end{array}\] Use statistical software to compute the p-value for this test.

The answer of A biology professor claimed that the proportions...

The number of cars sold by three salespersons over a 3-month period are shown below: \[\begin{array} { | l | c c c | } \hline & { \text { Brand of Car } } \\ \hline \text { Salesperson } & \text { Brand } \mathrm { A } & \text { Brand B } & \text { Brand C } \\ \hline \text { David } & 7 & 2 & 6 \\ \hline \text { Edward } & 11 & 4 & 8 \\ \hline \text { Frank } & 8 & 5 & 3 \\ \hline \end{array}\] Using the 5% level of significance, test for the independence of salesperson and type of product sold.

@#LAT-DLM& The two variables (salesperson and bran

A particular insurance company wants to investigate whether the gender and age of a client are related. A random sample of 350 clients of this insurance company was taken. $\quad $$\quad $$\quad $$\quad $$\quad $$\quad $$\quad $$\quad $$\quad $$\quad $$\quad $$\quad $$\text { Age group } $ $\begin{array} { | l | c|c | c | } \hline & 25 \text { and under } & \begin{array} { c } \text { Over } 25 \text { and } \\ \text { under } 50 \end{array} & 50 \text { and over } \\ \hline \text { Male } & 35 & 60 & 68 \\ \hline \text { Female } & 65 & 80 & 42 \\ \hline \end{array}$ Conduct a test to determine whether gender and age group are independent, using $\alpha$ of 0.01.

Ho: Gender and age group are independent

Exam 17: Additional Tests for Nominal Data: Chi-Squared Tests

A biology professor claimed that the proportions of grades in his classes are the same. A sample of 100 students showed the following frequencies. Grade A B C D F Frequency 14 23 27 26 10 Do the data provide enough evidence to support the professor's claim?

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Question 21

Which of the following should be used if we want to conduct a two-tail test of a population proportion?

(Multiple Choice)

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Question 22

In a chi-squared goodness-of-fit test, if the expected frequencies $e _ { i }$ and the observed frequencies $f _ { i }$ were quite different, which of the following is the best conclusion?

(Multiple Choice)

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Question 23

Which of the following best describes the degrees of freedom needed in a Chi-squared test for normality?

(Multiple Choice)

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Question 24

An Australian tyre manufacturer operates a plant in Melbourne and another plant in Adelaide. Employees at each plant have been evenly divided among three issues (wages, working conditions and super benefits) in terms of which one they feel should be the primary issue in the upcoming contract negotiations. The secretary of the union has recently circulated pamphlets among the employees, attempting to convince them that super benefits should be the primary issue. A subsequent survey revealed the following breakdown of the employees according to the plant at which they worked and the issue that they felt should be supported as the primary one. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\text { Issues }$ Plant Location Very interesting Fairly interesting Not interesting Melbourne 60 62 78 Adelaide 70 56 74 Can you infer at the 5% significance level that the proportional support by the employees at both plants for the issues has changed since the pamphlet was circulated?

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Question 25

In 2003, computers of Brand A controlled 25% of the market, Brand B 20%, Brand C 10% and Brand D 45%. In 2004, sample data were collected from many randomly selected stores throughout the country. Of the 1200 computers sold, 280 were Brand A, 270 were Brand B, 90 were Brand C and 560 were Brand D. Has the market changed since 2003? Test at the 1% significance level.

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Question 26

A left-tailed area in the chi-squared distribution equals 0.90. For 10 degrees of freedom, the table value equals 15.9871.

(True/False)

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Question 27

A university lecturer had the following semester 1 student's final grades for the course that they teach: 8% High Distinction, 35% Distinction, 40% Credit, 12% Pass, and 5% Failed. A sample of 100 second semester final grades for the same course showed 12 High distinctions, 30 Distinctions, 35 Credits, 15 Passes, and 8 Fails. Test at the 10% significance level to determine whether the semester one grades differ significantly from the semester two grades.

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Question 28

A chi-squared test of a contingency table with 4 rows and 4 columns shows that the value of the test statistic is 23. Which of the following best describes the p-value for this test?

(Multiple Choice)

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Question 29

In a chi-squared test of a contingency table, the value of the test statistic was $\chi ^ { 2 } = 12.678$ , the significance level was $\alpha$ = 0.05 and the degrees of freedom was 6. Thus:

(Multiple Choice)

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Question 30

A multinomial experiment, where the outcome of each trial can be classified into one of two categories, is identical to the binomial experiment.

(True/False)

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Question 31

In chi-squared tests, the conventional and conservative rule - known as the rule of five - is to require that the:

(Multiple Choice)

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Question 32

Which statistical technique is appropriate when we describe a single population of nominal data with exactly two categories?

(Multiple Choice)

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Question 33

Consumer panel preferences for three proposed fast food restaurants are as follows: Restaurant Restaurant B Restaurant C 48 62 40 Using the 0.05 level of significance, test to see if there is a preference among the three restaurants.

(Essay)

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Question 34

In a goodness-of-fit test, suppose that a sample showed that the observed frequency $f _ { i }$ and expected frequency $e _ { i }$ were equal for each cell i. Which of the following best describes the decision for the hypothesis test?

(Multiple Choice)

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Question 35

A biology professor claimed that the proportions of grades in his classes are the same. A sample of 100 students showed the following frequencies. Grade A B C D F Frequency 14 23 27 26 10 Use statistical software to compute the p-value for this test.

(Essay)

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Question 36

The number of cars sold by three salespersons over a 3-month period are shown below: Brand of Car Salesperson Brand Brand B Brand C David 7 2 6 Edward 11 4 8 Frank 8 5 3 Using the 5% level of significance, test for the independence of salesperson and type of product sold.

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Question 37

A particular insurance company wants to investigate whether the gender and age of a client are related. A random sample of 350 clients of this insurance company was taken. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\text { Age group }$ 25 and under Over 25 and under 50 50 and over Male 35 60 68 Female 65 80 42 Conduct a test to determine whether gender and age group are independent, using $\alpha$ of 0.01.

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Question 38

If we want to perform a one-tail test for differences between two populations of nominal data with exactly two categories, we must employ the z-test of $p _ { 1 } - p _ { 2 }$ .

(True/False)

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Question 39

A right-tailed area in the chi-squared distribution equals 0.01. For 4 degrees of freedom, the table value equals 13.2767.

(True/False)

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Question 40

Exam 17: Additional Tests for Nominal Data: Chi-Squared Tests

A biology professor claimed that the proportions of grades in his classes are the same. A sample of 100 students showed the following frequencies. Grade A B C D F Frequency 14 23 27 26 10 Do the data provide enough evidence to support the professor's claim?

Which of the following should be used if we want to conduct a two-tail test of a population proportion?

In a chi-squared goodness-of-fit test, if the expected frequencies eie _ { i }ei​ and the observed frequencies fif _ { i }fi​ were quite different, which of the following is the best conclusion?

Which of the following best describes the degrees of freedom needed in a Chi-squared test for normality?

A left-tailed area in the chi-squared distribution equals 0.90. For 10 degrees of freedom, the table value equals 15.9871.

A chi-squared test of a contingency table with 4 rows and 4 columns shows that the value of the test statistic is 23. Which of the following best describes the p-value for this test?

In a chi-squared test of a contingency table, the value of the test statistic was χ2=12.678\chi ^ { 2 } = 12.678χ2=12.678 , the significance level was α\alphaα = 0.05 and the degrees of freedom was 6. Thus:

A multinomial experiment, where the outcome of each trial can be classified into one of two categories, is identical to the binomial experiment.

In chi-squared tests, the conventional and conservative rule - known as the rule of five - is to require that the:

Which statistical technique is appropriate when we describe a single population of nominal data with exactly two categories?

Consumer panel preferences for three proposed fast food restaurants are as follows: Restaurant Restaurant B Restaurant C 48 62 40 Using the 0.05 level of significance, test to see if there is a preference among the three restaurants.

In a goodness-of-fit test, suppose that a sample showed that the observed frequency fif _ { i }fi​ and expected frequency eie _ { i }ei​ were equal for each cell i. Which of the following best describes the decision for the hypothesis test?

A biology professor claimed that the proportions of grades in his classes are the same. A sample of 100 students showed the following frequencies. Grade A B C D F Frequency 14 23 27 26 10 Use statistical software to compute the p-value for this test.

The number of cars sold by three salespersons over a 3-month period are shown below: Brand of Car Salesperson Brand Brand B Brand C David 7 2 6 Edward 11 4 8 Frank 8 5 3 Using the 5% level of significance, test for the independence of salesperson and type of product sold.

If we want to perform a one-tail test for differences between two populations of nominal data with exactly two categories, we must employ the z-test of p1−p2p _ { 1 } - p _ { 2 }p1​−p2​ .

A right-tailed area in the chi-squared distribution equals 0.01. For 4 degrees of freedom, the table value equals 13.2767.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Inference About Population Variances

Analysis of Variance

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

Filters

In a chi-squared goodness-of-fit test, if the expected frequencies $e _ { i }$ and the observed frequencies $f _ { i }$ were quite different, which of the following is the best conclusion?

In a chi-squared test of a contingency table, the value of the test statistic was $\chi ^ { 2 } = 12.678$ , the significance level was $\alpha$ = 0.05 and the degrees of freedom was 6. Thus:

In a goodness-of-fit test, suppose that a sample showed that the observed frequency $f _ { i }$ and expected frequency $e _ { i }$ were equal for each cell i. Which of the following best describes the decision for the hypothesis test?

If we want to perform a one-tail test for differences between two populations of nominal data with exactly two categories, we must employ the z-test of $p _ { 1 } - p _ { 2 }$ .