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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A quality control specialist tests samples of the seed being packaged and uses a chi-square goodness-of-fit test to see whether the proportions in the samples match what is claimed by the company. Which of the following best describes the null hypothesis and the alternative hypothesis for the test? A) H0: p=0.20 Ha: p≠0.20 B) H0: … Read more
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Jimmy believes that the shuffle feature on his music player is malfunctioning by not playing songs that meet this distribution of music types. To test this, he listens to 100 songs randomly chosen when his player is in shuffle mode and records the number of songs in each category. Which inference procedure should he use … Read more
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Ms. Harper knows that her students in a computing course can choose from one of three operating systems for the semester: Doors, Banana, or Duix. Ms. Harper wants to test the hypothesis that her students will select the operating systems in the same proportion as students in other computing courses at the university. She conducts … Read more
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A spinner made for a game of chance has 8 equally likely spaces. Alfonso records the result of a sample of 400 spins. Alfonso decides to calculate a chi-square test statistic for a goodness-of-fit test to see whether the spinner is fair. Which of the following is the appropriate null hypothesis? A) H0 =0.125,p2=0.125,p3=0.125,p4=0.125,p5=0.125,p6=0.125,p7=0.125,p8=0.12 B) … Read more
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