Student Absenteeism Consider a multinomial experiment involving n = 200 students of a large high school.The attendance department recorded the number of students who were absent during the weekdays.The null hypothesis to be tested is: HS1U1B10S1U1B0: pS1U1B11S1U1B0 = .10,pS1U1B12S1U1B0 = .25,pS1U1B13S1U1B0 = .30,pS1U1B14S1U1B0 = .20,pS1U1B15S1U1B0 = .15. -{Student Absenteeism Narrative} Test the hypothesis at the 5% level of significance with the following frequencies:

Rejection region: χ 2 > χ 2 .05,4 = 9.48

Exam 15: Chi-Squared Tests

We can use the goodness-of-fit test to determine whether data were drawn from any distribution of interest.The most common application of this procedure is a test of ____________________.

(Short Answer)

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Question 61

The squared difference between the observed and expected frequencies should be large if there is a significant difference between the proportions.

(True/False)

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Question 62

Suppose that a random sample of 60 observations was drawn from a population.After calculating the mean and standard deviation,each observation was standardized and the number of observations in each of the intervals below was counted.Can we infer at the 10% significance level that the data were drawn from a normal population?

(Essay)

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Question 63

To test for normality,the ____________________ hypothesis is that at least two proportions differ from their specified values.

(Short Answer)

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Question 64

A test for whether one proportion is higher than the other can be performed using the chi-squared distribution.

(True/False)

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Question 65

If we want to test for differences between two populations of nominal data with exactly two categories,we can employ either the z-test of p₁ − p₂,or the chi-squared test of a contingency table.

(True/False)

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Question 66

In a test of a contingency table,rejecting the null hypothesis concludes the variables are not independent.

(True/False)

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Question 67

Seat Belts A study was conducted to determine whether the use of seat belts in vehicles depends on whether or not a child was present in the car.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained,and each person was classified according to (1)child present (yes/no)and (2)seat belt usage (worn or not worn)during the accident.The data are shown in the table below. -{Seat Belts Narrative} Which test would be used to properly analyze the data in this experiment?

(Short Answer)

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Question 68

If we want to conduct a two-tail test of a population proportion,we can employ:

(Multiple Choice)

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Question 69

A small chi-squared test statistic in a goodness-of-fit test supports the null hypothesis.

(True/False)

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Question 70

Consider a multinomial experiment involving 160 trials 4 categories (cells).The observed frequencies resulting from the experiment are shown in the accompanying table. Use the 10% significance level to test the hypotheses: H₀: p₁ = p₂ = p₃ = p₄ = .25 vs.H₁: At least one proportion differs from their specified values.

(Essay)

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Question 71

Which of the following tests is used to analyze nominal data?

(Multiple Choice)

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Question 72

Which of the following statements is true for chi-squared tests?

(Multiple Choice)

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Question 73

In a goodness-of-fit test,all of the proportions specified in the null hypothesis must be equal to each other.

(True/False)

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Question 74

The number of degrees of freedom in a chi-squared test for normality,where the number of standardized intervals is 5 and there are 2 population parameters to be estimated from the data,is equal to:

(Multiple Choice)

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Question 75

Student Absenteeism Consider a multinomial experiment involving n = 200 students of a large high school.The attendance department recorded the number of students who were absent during the weekdays.The null hypothesis to be tested is: H₀: p₁ = .10,p₂ = .25,p₃ = .30,p₄ = .20,p₅ = .15. -{Student Absenteeism Narrative} Test the hypothesis at the 5% level of significance with the following frequencies:

(Essay)

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Question 76

Which of the following tests is appropriate for nominal data if the problem objective is to describe a population with more than two categories?

(Multiple Choice)

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Question 77

Which of the following represents H₁ in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?

(Multiple Choice)

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Question 78

The test statistic for the chi-squared test of a contingency table is the same as the test statistic for the goodness-of-fit test.

(True/False)

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Question 79

A large chi-squared test statistic in a test of a contingency table means you conclude:

(Multiple Choice)

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Question 80

Showing 61 - 80 of 179

We can use the goodness-of-fit test to determine whether data were drawn from any distribution of interest.The most common application of this procedure is a test of ____________________.

The squared difference between the observed and expected frequencies should be large if there is a significant difference between the proportions.

To test for normality,the ____________________ hypothesis is that at least two proportions differ from their specified values.

A test for whether one proportion is higher than the other can be performed using the chi-squared distribution.

If we want to test for differences between two populations of nominal data with exactly two categories,we can employ either the z-test of p₁ − p₂,or the chi-squared test of a contingency table.

In a test of a contingency table,rejecting the null hypothesis concludes the variables are not independent.

If we want to conduct a two-tail test of a population proportion,we can employ:

A small chi-squared test statistic in a goodness-of-fit test supports the null hypothesis.

Which of the following tests is used to analyze nominal data?

Which of the following statements is true for chi-squared tests?

In a goodness-of-fit test,all of the proportions specified in the null hypothesis must be equal to each other.

The number of degrees of freedom in a chi-squared test for normality,where the number of standardized intervals is 5 and there are 2 population parameters to be estimated from the data,is equal to:

Which of the following tests is appropriate for nominal data if the problem objective is to describe a population with more than two categories?

Which of the following represents H₁ in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?

The test statistic for the chi-squared test of a contingency table is the same as the test statistic for the goodness-of-fit test.

A large chi-squared test statistic in a test of a contingency table means you conclude:

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Exam 15: Chi-Squared Tests

We can use the goodness-of-fit test to determine whether data were drawn from any distribution of interest.The most common application of this procedure is a test of ____________________.

The squared difference between the observed and expected frequencies should be large if there is a significant difference between the proportions.

To test for normality,the ____________________ hypothesis is that at least two proportions differ from their specified values.

A test for whether one proportion is higher than the other can be performed using the chi-squared distribution.

If we want to test for differences between two populations of nominal data with exactly two categories,we can employ either the z-test of p1 − p2,or the chi-squared test of a contingency table.

In a test of a contingency table,rejecting the null hypothesis concludes the variables are not independent.

If we want to conduct a two-tail test of a population proportion,we can employ:

A small chi-squared test statistic in a goodness-of-fit test supports the null hypothesis.

Which of the following tests is used to analyze nominal data?

Which of the following statements is true for chi-squared tests?

In a goodness-of-fit test,all of the proportions specified in the null hypothesis must be equal to each other.

The number of degrees of freedom in a chi-squared test for normality,where the number of standardized intervals is 5 and there are 2 population parameters to be estimated from the data,is equal to:

Which of the following tests is appropriate for nominal data if the problem objective is to describe a population with more than two categories?

Which of the following represents H1 in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?

The test statistic for the chi-squared test of a contingency table is the same as the test statistic for the goodness-of-fit test.

A large chi-squared test statistic in a test of a contingency table means you conclude:

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

If we want to test for differences between two populations of nominal data with exactly two categories,we can employ either the z-test of p₁ − p₂,or the chi-squared test of a contingency table.

Which of the following represents H₁ in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?