Flashcards
Unit 14 - Chi Square Inference Test
Cards in this deck (20)
- 1A local restaurant claims that it gets 45 percent of its customers from Monday through Thursday, 20 percent on Friday, 20 percent on Saturday, and 15 percent on Sunday. If a restaurant employee plans to perform a chi-square goodness of fit test, which of the following is the smallest possible sample size that should be chosen in order for conditions for inference to be met?34
- 2A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. Assuming the conditions for inference are met, what is the p-value for a chi-square goodness-of-fit test to investigate whether the distribution of the sample is consistent with the company’s claim?0.344
- 3If Jimmy conducts a chi square goodness of fit test, which category contributes the most to the chi square test statistic?Pop
- 4A popular energy drink company's marketing research consultant hypothesizes that men and women differ in their flavor preference for the company's newest drink product. The consultant conducts a taste test with the three flavors of the new product. The consultant selects a random sample of 220 men and has them randomly taste the three flavors, then repeats the experiment with a random sample of 190 women. The consultant asks each person to choose his or her favorite flavor. A chi-square test for homogeneity of proportions will be used to test the consultant’s hypothesis. Assuming that the conditions for inference are met, which of the following statements is true for the test?The more that men and women differ in their flavor preference, the larger the chi-square statistic will be.
- 5A town manager is interested in comparing proportions of requests for various town-provided services (such as street maintenance and garbage pickup) among the town's four largest neighborhoods. Four independent random samples of 100 requests were collected with each sample coming from each of the neighborhoods of interest. Each request was classified into one of 10 different categories. Which of the following tests could be used to determine whether the proportions of service requests classified into the 10 service categories differ for each neighborhood?A chi square test for homogeneity of proportions
- 6Which of the following would be the appropriate alternative hypothesis?Ha: Gender and coffee drinker category are not independent.
- 7A town manager is interested in comparing requests for various town-provided services (ten possible categories - such as street maintenance and garbage pickup) with nationally published proportions of requests for the same services. Each request in a random sample of 500 service requests from the town was classified into one of the 10 different categories. Assuming conditions for inference were met, if a chi-square goodness of fit test statistic was calculated, what degrees of freedom would be appropriate?9
- 8Assume each order is independent. If setting up a Chi-Square goodness of fit test, what is the expected value for the number of chicken orders?82
- 9To investigate the relationship between age and preference for three mayoral candidates in an upcoming election, a random sample of city residents was surveyed. The residents were asked which candidate they preferred, and each resident was classified into one of three age-groups. Which of the following tests would be the most appropriate test to investigate if there is a relationship between age and candidate preference?Chi square test of independence
- 10If the animal clinic treats 230 animals in a randomly selected month, which test would be the most appropriate to investigate if the proportion of animals treated is different than the historic records?A chi square goodness of fit test
- 11Assuming conditions for inference are met, which of the following is closest to calculated test statistic for the appropriate test?27.28
- 12A chi square test statistic of 15.275 was calculated. Which of the following is the approximate p-value for a chi-square test of independence?0.0042
- 13Which of the following is the correct calculation for the chi-square test statistic.
- 14Students in a high school statistics class wanted to see if the distribution of the colors of a popular candy was different in the bags for different types of candies the company manufactures. The students purchased several large bags of regular candies, tropical-flavored candies, and sour-flavored candies. For each type of candy, the students took a random sample of 100 candies and recorded how many of each color (red, green, yellow, or blue) were in each of the samples. The students verified the conditions for inference and will set up their hypotheses. Which of the following statements correspond to the appropriate test that they plan to carry out?Ho: The proportions for the distributions of colors is the same for each of the different types of candies. Ha: At least one of the proportions for the distributions of colors is different.
- 15—At the significance level alpha = 0.01, the data do not provide convincing evidence that the current distribution is different from the historical distribution.
- 16—Using an alpha of 0.01, the p-value is less than alpha, the null hypothesis should be rejected. There is sufficient evidence to suggest an association between category and option about the use of instant replay.
- 17A chi square test of an association is calculated, have conditions for inference been met?Yes, all conditions have been met.
- 18Freshman, sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question - agree with the increase, do not agree with the increase, or no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have?6
- 19Which of the following statements about the Chi Square Distribution are true? I. The chi square distribution is negatively skewed. II. The chi square distribution is centered at 0. III. As degrees of freedom increase, the chi square distribution becomes more positively skewed.None are true
- 20If choice of color is independent of age group, which of the following is approximately equal to the expected number of respondents who are Over 50 and prefer red?20.2
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- 10th grade Math Flashcards on Unit 14 - Chi Square Inference Test, created by Kelly Chen on 02/05/2021.
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