How are the expected counts calculated when a chi-square goodness-of-fit test is conducted? A) The expected counts are calculated by multiplying each proportion in the null hypothesis by 100. B) The expected counts are calculated by multiplying each proportion in the alternative hypothesis by 100. C) The values observed from the sample are the expected … Read more
Genetics
An administrator at a local high school wants to investigate whether there is an association between the grade level of a student (either ninth, tenth, eleventh, or twelfth) and how the student commutes to school (either walks, bikes, takes the bus, receives a ride, or drives). After a chi-square test for association was conducted, the results indicated that the chi-square test statistic was 14.63 with a p-value of 0.2623. Which of the following is the correct interpretation of the p-value in the context of the test? A) There is a 26.23 percent chance that grade level and how a student commutes to school are independent. B) There is a 26.23 percent chance that there is no association between grade level and how a student commutes to school. C) Assuming there is no association between a student’s grade level and how the student commutes to school, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger. D) Assuming that a student’s grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger. E) Assuming that a student’s grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or smaller
An administrator at a local high school wants to investigate whether there is an association between the grade level of a student (either ninth, tenth, eleventh, or twelfth) and how the student commutes to school (either walks, bikes, takes the bus, receives a ride, or drives). After a chi-square test for association was conducted, the … Read more
If the animal clinic treats 230 animals in a month, how many of each animal type would be expected? A) 40 B) 42 C) 50 D) 58 E) 60
If the animal clinic treats 230 animals in a month, how many of each animal type would be expected? A) 40 B) 42 C) 50 D) 58 E) 60
Which of the following is true about the chi-square test for homogeneity? A) The number of subjects randomly assigned to each treatment is not the same; therefore, it is not appropriate to use a chi-square test for homogeneity across treatment groups. B) Volunteers do not constitute a random sample from the population of all patients with the chronic intestinal condition; therefore, it is not appropriate to use a chi-square test for homogeneity across treatment groups. C) Volunteers with the chronic intestinal condition were randomly assigned to each treatment, so the independence condition has been met. D) Not all of the observed cell counts are large enough to satisfy the conditions for applying the chi-square test of homogeneity. E) Not all of the expected cell counts are large enough to satisfy the conditions for applying the chi-square test for homogeneity.
Which of the following is true about the chi-square test for homogeneity? A) The number of subjects randomly assigned to each treatment is not the same; therefore, it is not appropriate to use a chi-square test for homogeneity across treatment groups. B) Volunteers do not constitute a random sample from the population of all patients … Read more
A chi-square test for homogeneity was conducted to investigate whether the four high schools in a school district have different absentee rates for each of four grade levels. The chi-square test statistic and p-value of the test were 19.02 and 0.025, respectively. Which of the following is the correct interpretation of the p-value in the context of the test? A) Assuming that each high school has the same absentee rate for each grade level, there is a 2.5 percent chance of finding a test statistic 19.02 or smaller. B) Assuming that each high school has the same absentee rate for each grade level, there is a 2.5 percent chance of finding a test statistic 19.02 or larger. C) Assuming that each high school has a different absentee rate for each grade level, there is a 2.5 percent chance of finding a test statistic 19.02 or larger. D) There is a 2.5 percent chance that the absentee rate for each grade level at the four schools is the same. E) There is a 2.5 percent chance that the absentee rate for each grade level at the four schools is different.
A chi-square test for homogeneity was conducted to investigate whether the four high schools in a school district have different absentee rates for each of four grade levels. The chi-square test statistic and p-value of the test were 19.02 and 0.025, respectively. Which of the following is the correct interpretation of the p-value in the … Read more
Which of the following is closest to the p-value of the appropriate test to investigate whether the proportion of people living in the northern part of the state who are in favor of removing the cash lane is different from the proportion of people living in the southern part of the state who are in favor of removing the cash lane? A) 0.0671 B) 0.1342 C) 0.5235 D) 0.6912 E) 0.9329
Which of the following is closest to the p-value of the appropriate test to investigate whether the proportion of people living in the northern part of the state who are in favor of removing the cash lane is different from the proportion of people living in the southern part of the state who are in … Read more
Which of the following is the appropriate test to investigate whether there is an association between opinion about the ballot initiative and highest level of education completed? A) A two-sample t-test for a difference between means B) A two-sample z-test for a difference between proportions C) A chi-square test of homogeneity D) A chi-square test of independence E) A chi-square goodness-of-fit test
Which of the following is the appropriate test to investigate whether there is an association between opinion about the ballot initiative and highest level of education completed? A) A two-sample t-test for a difference between means B) A two-sample z-test for a difference between proportions C) A chi-square test of homogeneity D) A chi-square test … Read more
For which of the following is a chi-square goodness-of-fit test most appropriate? A) Estimating a difference between two population means B) Estimating a difference between two population proportions C) Finding the expected value of a probability distribution D) Determining whether a categorical variable has a significantly different distribution of proportions than the expected distribution E) Determining the best shape for a set of data
For which of the following is a chi-square goodness-of-fit test most appropriate? A) Estimating a difference between two population means B) Estimating a difference between two population proportions C) Finding the expected value of a probability distribution D) Determining whether a categorical variable has a significantly different distribution of proportions than the expected distribution E) … Read more
An administrator at a local high school wants to investigate whether there is an association between the grade level of a student (either ninth, tenth, eleventh, or twelfth) and how the student commutes to school (either walks, bikes, takes the bus, receives a ride, or drives). After a chi-square test for association was conducted, the results indicated that the chi-square test statistic was 14.63 with a p-value of 0.2623. Which of the following is the correct interpretation of the p-value in the context of the test? A) There is a 26.23 percent chance that grade level and how a student commutes to school are independent. B) There is a 26.23 percent chance that there is no association between grade level and how a student commutes to school. C) Assuming there is no association between a student’s grade level and how the student commutes to school, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger. D) Assuming that a student’s grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or larger. E) Assuming that a student’s grade level and the way the student commutes to school are dependent, there is a 26.23 percent chance of finding a test statistic that is 14.63 or smaller.
An administrator at a local high school wants to investigate whether there is an association between the grade level of a student (either ninth, tenth, eleventh, or twelfth) and how the student commutes to school (either walks, bikes, takes the bus, receives a ride, or drives). After a chi-square test for association was conducted, the … Read more
Which of the following is not a condition for a chi-square goodness-of-fit test? A) Data should be collected using a random sample or randomized experiment. B) When sampling without replacement, the sample size cannot be greater than 10 percent of the population size. C) All expected counts should be greater than 5. D) The distribution of the sample should be approximately normal. E) During the sampling process, each individual chosen should be independent of the next
Which of the following is not a condition for a chi-square goodness-of-fit test? A) Data should be collected using a random sample or randomized experiment. B) When sampling without replacement, the sample size cannot be greater than 10 percent of the population size. C) All expected counts should be greater than 5. D) The distribution … Read more