A reporter intends to survey residents of a city to investigate whether there are differences in use of grocery delivery services by region of the city where the residents live (north, south, west, and east). City residents will be asked to respond yes or no to the question “Do you regularly use a grocery delivery … Read more
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A company claims that 50 percent get a basic audit, 30 percent get an enhanced audit, and 20 percent get a complete audit. The company tests this hypothesis using a random sample and finds χ2=0.771 with a corresponding p-value of 0.68. Assuming conditions for inference were met, which of the following is the correct interpretation … Read more
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A χ2 goodness-of-fit test proportions was used to test the hypothesis that students at a local university select majors in the same as other universities in the state. A chi-square test statistic of χ2=45.6 was calculated with a corresponding p-value of 0.005. Which of the following is correct? A) There is sufficient evidence to conclude … Read more
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A chi-square test was conducted to investigate whether there is an association between a person’s favorite flavor of ice cream and their favorite toppings. Each of 200 randomly selected customers at an ice cream parlor was asked to pick their favorite flavor from vanilla, chocolate, chocolate chip, or none of these. They were also asked … Read more
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Which of the following is a reason not to use a chi-square test of homogeneity to analyze a set of data? A) The data consist of one categorical variable for two or more different populations and are summarized by counts in a two-way table. B) The data were obtained through a simple random sample from … Read more
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If the professionals and the students do not differ in the distributions of their responses, which of the following is equal to the expected number of students who classify the crown shapes as medium? A) 39 B) ((39)(87))/91 C) ((87)(91))/200 D) ((87)(109))/200 E) ((97)(91))/200
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A statistician is conducting a chi-square goodness-of-fit test and is limited by the cost, per individual, to conduct the study. The statistician selects a sample of size 39, which is the smallest sample possible that will meet the condition for large expected counts. Which of the following could not be the null hypothesis for the … Read more
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l. H0: p1=p2=p3, where p1 is the proportion of the sample of sophomores that responded yes, p2 is the proportion of the sample of juniors that responded yes, and p3 is the proportion of the sample of seniors that responded yes. ll. H0: There is an association between grade level and whether or not a … Read more
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The corresponding p-value of 0.03 means that the probability of observing a test statistic of χ2=12.4 is 0.03, assuming the null hypothesis is true. Which of the following is a valid criticism of this interpretation of the p-value? A) The null hypothesis can never be assumed to be true. B) The null hypothesis is not … Read more
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If children from these countries exhibit top rounding in the same proportions, what is the expected count for Malay children who show top rounding? A) 938 B) 951 C) 9 D) ((38)(51))/153 E) ((38)(9))/153
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