(Solved): answer all  Use the following contingency table to complete (a) and (b) below. a. Compute the e ...

Use the following contingency table to complete (a) and (b) below. a. Compute the expected frequencies for each cell. (rype integers or decimais. Do not round.) b. Compute \( x_{\text {STAT }}^{2} \). Is it significant at \( \alpha=0.005 \) ? Set up the null and alternative hypotheses to test. Choose the correct answer below. A. \( H_{0}: \pi_{1}=\pi_{2} \) B. \( H_{0}: \) Not all \( \pi_{j} \) are equal (where \( j=A, B, C \) ) \( H_{1}: \) Not all \( \pi_{1} \) are equal (where \( j=1,2 \) ) \( H_{1} ; \pi_{A}=\pi_{B}=\pi_{C} \) C. \( \mathrm{H}_{0}: \pi_{\mathrm{A}}=\pi_{\mathrm{B}}=\pi_{\mathrm{C}} \) D. \( H_{0}: \) Not all \( \pi_{j} \) are equal (where \( j=1,2 \) ) \( H_{1}: \) Not all \( \pi_{j} \) are equal (where \( j=A, B, C \) ) \( H_{1}: \pi_{1}=\pi_{2} \) Compute \( x_{\text {STAT }}^{2} \) \( x_{\text {STAT }}^{2}= \) (Round to three decimal places as needed.) Find the p-value. p-value \( = \) (Round to three decimal places as needed. \( ) \) Is \( \chi_{\text {STAT }}^{2} \) significant at \( \alpha=0.005 \) ? A. Yes, because the p-value is greater than or equal to the level of significance. B. Yes, because the p-value is less than the level of significance. C. No, because the p-value is less than the level of significance. D. No, because the p-value is greater than or equal to the level of cinnificanco