Exam 15: Chi-Square Applications

Six people have declared their intentions to run for a trustee seat in the next local election.A political poll is conducted during the campaign among 1,020 randomly sampled voters to determine if there is any clear preference among the voters.The responses are shown below. What is the null hypothesis? ___________________________________

A small number of cells with expected frequencies less than 5,might result in an erroneous conclusion for the application of the chi-square distribution.

A sample of 100 production workers is obtained.The workers are classified by gender (male,female)and by age (under 20,20-29,30-39 and 40 or over).How many degrees of freedom are there?

A recent study of the relationship between social activity and education showed the following results. The null hypothesis for the analysis is:

What hypothesis states that there is a difference between the observed frequency distribution and the expected frequency distribution? ______________

For a goodness-of-fit test,the following are possible null and alternate hypotheses: H₀: Sales are uniformly distributed among the five locations. H₁: Sales are not uniformly distributed among the five locations.

For the goodness-of-fit test,the use of the chi-square statistic would be permissible in the following problem.

When testing a goodness-of-fit null hypothesis,and there are extremely large differences between observed and expected frequencies,what decision should be made? ____________

When sampling from a population,small differences between observed and expected frequencies may be due to _____________.

A personnel manager is concerned about absenteeism.She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek.The null hypothesis to be tested is: Absenteeism is distributed evenly throughout the week.The 0.01 level is to be used.The sample results are: What kind of frequencies are the numbers 12,9,11,10,and 9 called?

What is our decision for a goodness-of-fit test with a computed value of chi-square of 1.273 and a critical value of 13.388?

If the computed value of a chi-square statistic is less than the critical value,what is our decision? ____________________________

A personnel manager is concerned about absenteeism.She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek.The null hypothesis to be tested is: Absenteeism is distributed evenly throughout the week.The 0.01 level is to be used.The sample results are: What is the calculated value of chi-square?

The chi-square goodness-of-fit test can be applied if there are equal or unequal expected frequencies.

Six people have declared their intentions to run for a trustee seat in the next local election.A political poll is conducted during the campaign among 1,020 randomly sampled voters to determine if there is any clear preference among the voters.The responses are shown below. What is your decision at the 1% level of significance? __________________________________

Which of the following can be used to test the hypothesis that two nominal variables are related?

The chi-square distribution is

A survey of the opinions of property owners about a street widening project was taken to determine whether the resulting opinion was related to the distance of front footage.A randomly selected sample of 100 property owners was contacted and the results are shown below. If the computed chi-square is 8.5,what is your decision at the 5% level of significance? ______________________________

A survey of the opinions of property owners about a street widening project was taken to determine whether the resulting opinion was related to the distance of front footage.A randomly selected sample of 100 property owners was contacted and the results are shown below. What is the expected frequency for people who are undecided about the project and have property front-footage between 45 and 120 feet?

A survey of the opinions of property owners about a street widening project was taken to determine whether the resulting opinion was related to the distance of front footage.A randomly selected sample of 100 property owners was contacted and the results are shown below. What is the expected frequency for people against the project and who have over 120 feet of property foot-frontage?