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WorksheetsChi-Square test for Homogeneity
Total questions: 20
Worksheet time: 19mins
The p-value for a chi-square test for goodness of fit is 0.0129. Which of the following is the most appropriate conclusion?
Because 0.0129 is less than 0.05, reject the null hypothesis. There is not convincing evidence that the food choices are equally popular.
Because 0.0129 is less than 0.05, reject the null hypothesis. There is not convincing evidence that the food choices are equally popular.
Because 0.0129 is less than 0.05, reject the null hypothesis. There is convincing evidence that the food choices are not equally popular.
Because 0.0129 is less than 0.05, we fail to reject the null hypothesis. There is not convincing evidence that the food choices are equally popular.
Because 0.0129 is less than 0.05, fail to reject the null hypothesis. There is convincing evidence that the food choices are equally popular.
A math teacher wants to see if two of her classes have the same distribution of test scores. What test should she use?
Chi-square test for Homogeneity.
Chi-square test for independence.
The goodness-of-fit test
random test
Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100 private practice doctors and 150 hospital doctors are selected at random and asked about the number of hours a week they work. The results are shown in Table 11.33.
State the degree of freedom for the distribution
(a)
Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100 private practice doctors and 150 hospital doctors are selected at random and asked about the number of hours a week they work. The results are shown in Table 11.33.
What is the test statistic? write your answer to 2 decimal places.
(a)
Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100 private practice doctors and 150 hospital doctors are selected at random and asked about the number of hours a week they work. The results are shown in Table 11.33.
What is the p-value? write your answer to 5 decimal places.
(a)
Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100 private practice doctors and 150 hospital doctors are selected at random and asked about the number of hours a week they work. The results are shown in Table 11.33.
Which option shows the null hypothesis?
H0: The distribution of working hours for private practice doctors is the same as the distribution of working hours for hospital doctors.
H0: The distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.
H0: The distribution of working hours for private practice doctors is proportional to the distribution of working hours for hospital doctors.
H0: The distribution of working hours for private practice doctors is skewed just as the distribution of working hours for hospital doctors.
Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100 private practice doctors and 150 hospital doctors are selected at random and asked about the number of hours a week they work. The results are shown in Table 11.33.
Which option shows the alternative hypothesis?
Ha: The distribution of working hours for private practice doctors is the same as the distribution of working hours for hospital doctors.
Ha: The distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.
Ha: The distribution of working hours for private practice doctors is proportional to the distribution of working hours for hospital doctors.
Ha: The distribution of working hours for private practice doctors is skewed just as the distribution of working hours for hospital doctors.
A psychologist is interested in testing whether there is a difference in the distribution of personality types for business majors and social science majors. The results of the study are shown in Table 11.54. State the degrees of freedom.
(a)
A psychologist is interested in testing whether there is a difference in the distribution of personality types for business majors and social science majors. The results of the study are shown in Table 11.54. Calculate the test statistic to 2 decimal places
(a)
A psychologist is interested in testing whether there is a difference in the distribution of personality types for business majors and social science majors. The results of the study are shown in Table 11.54. Calculate the p-value to 4 decimal places
(a)
A psychologist is interested in testing whether there is a difference in the distribution of personality types for business majors and social science majors. The results of the study are shown in Table 11.54. Conduct a test of homogeneity. Test at a 5% level of significance. Given that the p-value = 0.56, what is the decision and reason.
Decision: Do not reject the null hypothesis.
Reason for decision: p-value > alpha
Decision: Do not reject the null hypothesis.
Reason for decision: p-value < alpha
Decision: reject the null hypothesis.
Reason for decision: p-value > alpha
Decision: reject the null hypothesis.
Reason for decision: p-value < alpha
A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.
State the degrees of freedom.
(hint: draw a contingency table to show values for each category)
(a)
A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.
calculate the test statistic to 2 decimal places.
(hint: draw a contingency table to show values for each category)
(a)
A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.
calculate the p-value to 4 decimal places.
(hint: draw a contingency table to show values for each category)
(a)
A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.
Which option shows the null hypothesis?
H0: The distribution of fish caught is the same in Green Valley Lake and Echo Lake.
Ho: The distribution for fish caught is not the same in Green Valley Lake and in Echo Lake.
H0: The distribution of fish caught in Green Valley Lake is proportional to that caught in Echo Lake.
H0: The distribution of fish caught in Green Valley Lake is symmetrical to that caught in Echo Lake.
A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 191 randomly selected fish caught in Green Valley Lake, 105 were rainbow trout, 27 were other trout, 35 were bass, and 24 were catfish. Of the 293 randomly selected fish caught in Echo Lake, 115 were rainbow trout, 58 were other trout, 67 were bass, and 53 were catfish. Perform a test for homogeneity at a 5% level of significance.
Which option shows the alternative hypothesis?
Ha: The distribution of fish caught is the same in Green Valley Lake and Echo Lake.
Ha: The distribution for fish caught is not the same in Green Valley Lake and in Echo Lake.
Ha: The distribution of fish caught in Green Valley Lake is proportional to that caught in Echo Lake.
Ha: The distribution of fish caught in Green Valley Lake is symmetrical to that caught in Echo Lake.
