Q43:
A random sample of 763 subjects was asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. The table below shows goodness-oft test results from the claim and data from the study. Test that claim using either the critical value method or the P-value method with an assumed signicance level of o: = 0.05. Test statistic, Num Categories 7 12 1087.778 Degrees of freedom 6 Critical 12 12.592 Expected Freq 109.0000 P-Value 0.0000 Determine the null and alternative hypotheses. H0: : H1 : : Identify the test statistic. x2 = (Type an integer or a decimal.) is used to test the hypothesis that an observed frequency distribution ts {or conforms to) some claimed distribution. V is used to test the hypothesis that an observed frequency distribution ts {or conforms to} some claimed distribution. Which of the following is NOT a requirement to conduct a goodness-oft test? Choose the correct answer below. 0 A. The sample data consist of frequency counts for each of the different categories. 0 B. The data have been randomly selected. 0 C. For each category, the expected frequency is at least 5. O D. For each category, the observed frequency is at least 5. Which of the following is NOT true of the goodness-oft test? Choose the correct answer below. 0 A. Expected frequencies need not be whole numbers. 0 B. If expected frequencies are not all equal, then we can determine them by E = np for each individual category, where n is the total number of observations and p is the probability for the category. . n If expected frequencies are equal, then we can detem'iine them by E = E' where n is the total number of observations and k is the number of categories. 0 D. Goodnessoft hypothesis tests may be left-tailed, right-tailed, or two-tailed. H. Stop Smoking Data X Nicotine Gum Nicotine Patch Nicotine Inhaler Smoking 194 268 100 Not Smoking 57 63 26 Print DoneThe accompanying table summarizes successes and failures when subjects used different methods when trying to stop smoking. The determination of smoking or not smoking was made ve months after the treatment was begun. If we test the claim that success is independent of the method used, the technology provides a P-value of 0.586 (rounded). What does the P-value tell us about that claim? a Click the icon to View the stop smoking data. What does the P-value tell us about that claim? Because the P-value of 0.586 L small (such as 0.05 or lower), V the null hypothesis of independence between the treatment and whether the subject stops smoking. This suggests that the choice of treatment V
