2 stats questions

Published on: August 28, 2024


1.   Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. At α = 0.05, is the degree of certainty independent of credits earned?      Credits Earned  Very  Uncertain  Somewhat  CertainVeryCertainRow Total  0 – 9 13        6         5          24          10 – 59 9        4         6          19          60 or more 4        9         11          24           Col Total 26        19         22          67             Click here for the Excel Data File (a)At α = .05, the hypothesis for the given issue is H0: Credits Earned and Certainty of Major are independent.    [removed]No[removed]Yes(b)Calculate the Chi-Square test statistic, degrees of freedom and the p-value. (Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.)    Test statistic[removed]    d.f.[removed]    p-value[removed]  (c)Find the critical value of the Chi-Square for α = .05. (Round your answer to 2 decimal places.)  Critical value[removed]  (d)We cannot reject the null hypothesis and find dependence.    [removed]Yes[removed]No     2.   In a four-digit lottery, each of the four digits is supposed to have the same probability of occurrence. The table shows the frequency of occurrence of each digit for 79 consecutive daily four-digit drawings.        DigitFrequency0          42         1          29         2          20         3          43         4          20         5          30         6          29         7          29         8          41         9          33          Total       316                Click here for the Excel Data File       (a)The hypothesis for the given issue is H0: The digits come from a uniform population.    [removed]No[removed]Yes   (b)Calculate the Chi-Square test statistic, degrees of freedom and the p-value. (Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.)         Test statistic[removed]    d.f.[removed]    p-value[removed]      (c)Find the critical value of the Chi-Square for α = .10. (Round your answer to 2 decimal places.)      Critical value[removed]      (d)At α = .10, can you reject the hypothesis that the digits are from a uniform population?    [removed]No[removed]Yes


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