A bag of rubber bands has five different sizes: extra large (XL), large (L), medium (M), small (S), and extra small (XS). Which of the following could not be the null hypothesis for the study? H0:p1=0.43,p2=0.23,p3=0.17,p4=0.09,p5=0.08 A factory produces bags of rubber bands. The statistician selects a sample of size 39, which is the smallest sample possible that will meet the condition for large expected counts. Which inference procedure should he use to test whether or not the shuffle feature is working correctly? A chi-square goodness-of-fit test A statistician is conducting a chi-square goodness-of-fit test and is limited by the cost, per individual, to conduct the study. 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. Jimmy believes that the shuffle feature on his music player is malfunctioning by not playing songs that meet this distribution of music types. Which of the following is correct? There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state. A chi-square test statistic of χ2=45.6 was calculated with a corresponding p-value of 0.005. A χ2 goodness-of-fit test was used to test the hypothesis that students at a local university select majors in the same proportions as other universities in the state. Assuming conditions for inference were met, which of the following is the correct interpretation of the p-value? If the null hypothesis were true, there would be a 68 percent chance of obtaining a chi-square value of at least 0.771. The company tests this hypothesis using a random sample and finds χ2=0.771 with a corresponding p-value of 0.68. For entry-level positions, the company claims that 50 percent get a basic audit, 30 percent get an enhanced audit, and 20 percent get a complete audit. A company claims it audits its employees' transactions based on their job level. Which of the following statements must be true about the sample? The expected number of management workers donating to charity is 100. The manager conducts a goodness-of-fit test to determine whether the proportions of workers of these types are identical to the population proportions of workers donating to charity, which are 50 percent for management, 30 percent for other white-collar workers, and 20 percent for blue-collar workers. Which of the following is a valid criticism of this interpretation of the p-value? The p-value is not the probability of observing 12.4 exactly. Henry claims 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. A chi-square goodness-of-fit test where all assumptions were met yielded the test statistic χ2=12.4.
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