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Using the Chi-Square Distribution Table, find the values for χleft2\chi_{\text{left}}^2 and χTight2\chi_{\text{Tight}}^2 of the following.\newline\newlineEspa\~{n}ol\newline\newlinePart 11 of 55\newline\newline(a) When α=0.01\alpha=0.01 and n=24n=24,\newline\newline\begin{cases}\(\newline\gamma_{\text{eft}}^2=9.260,(\newline\)\chi_{\text{tight}}^2=44.181\newline\end{cases}\)\newline\newlinePart: 15\frac{1}{5}\newline\newlinePart 22 of 55\newline\newline(b) When α=0.05\alpha=0.05 and n=29n=29,\newline\newline\begin{cases}\(\newline\chi_{\text{eft}}^2=,(\newline\)\chi_{\text{Tight}}^2=\newline\end{cases}\)\newline\newlineTry again\newline\newlineSkip Part\newline\newlineRecheck\newline\newlineSave For Later\newline\newlineSubmit Assignment\newline\newlineMacBook Air

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Q. Using the Chi-Square Distribution Table, find the values for χleft2\chi_{\text{left}}^2 and χTight2\chi_{\text{Tight}}^2 of the following.\newline\newlineEspa\~{n}ol\newline\newlinePart 11 of 55\newline\newline(a) When α=0.01\alpha=0.01 and n=24n=24,\newline\newline\begin{cases}\(\newline\gamma_{\text{eft}}^2=9.260,(\newline\)\chi_{\text{tight}}^2=44.181\newline\end{cases}\)\newline\newlinePart: 15\frac{1}{5}\newline\newlinePart 22 of 55\newline\newline(b) When α=0.05\alpha=0.05 and n=29n=29,\newline\newline\begin{cases}\(\newline\chi_{\text{eft}}^2=,(\newline\)\chi_{\text{Tight}}^2=\newline\end{cases}\)\newline\newlineTry again\newline\newlineSkip Part\newline\newlineRecheck\newline\newlineSave For Later\newline\newlineSubmit Assignment\newline\newlineMacBook Air
  1. Understand the problem: Understand the problem.\newlineWe need to find the critical values for the chi-square distribution given a significance level α\alpha of 0.050.05 and degrees of freedom (n1)(n - 1) for a sample size of n=29n=29.
  2. Determine degrees of freedom: Determine the degrees of freedom.\newlineThe degrees of freedom (df) for the chi-square distribution is n1n - 1. Since n=29n=29, we have:\newlinedf = 291=2829 - 1 = 28
  3. Use chi-square distribution table: Use the chi-square distribution table.\newlineTo find the critical values, we look up the chi-square distribution table for df=28df=28. We need to find the values corresponding to the significance level of α=0.05\alpha=0.05 for both the lower tail (χleft2\chi_{\text{left}}^{2}) and the upper tail (χTight2\chi_{\text{Tight}}^{2}).
  4. Find lower tail critical value: Find the lower tail critical value.\newlineFor the lower tail critical value χleft2\chi_{\text{left}}^2, we look for the value in the table where the cumulative probability is equal to α/2\alpha/2, which is 0.05/2=0.0250.05/2 = 0.025. This is because we are looking for a two-tailed test.
  5. Find upper tail critical value: Find the upper tail critical value.\newlineFor the upper tail critical value χTight2\chi_{\text{Tight}}^2, we look for the value in the table where the cumulative probability is equal to 1α/21 - \alpha/2, which is 10.025=0.9751 - 0.025 = 0.975.
  6. Read values from table: Read the values from the table.\newlineAssuming we have the chi-square distribution table, we would read off the values for df=28df=28 at the 0.0250.025 and 0.9750.975 cumulative probabilities. However, without the actual table, we cannot provide the specific values.
  7. Acknowledge limitation: Acknowledge the limitation.\newlineSince we do not have access to the chi-square distribution table, we cannot provide the exact critical values. The solution would require access to the table or a statistical software to determine the exact values for χleft2\chi_{\text{left}}^{2} and χTight2\chi_{\text{Tight}}^{2}.

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