Question

Use the contingency table to the right to complete parts? (a) through? (c) below. A B Total 1 42 18 60 2 18 22 40 Total 60 40 100 a. Find the expected frequency for each cell. A B Total 1 nothing nothing 60 2 nothing nothing 40 Total 60 40 100 ?(Type integers or? decimals.) b. Compare the observed and expected frequencies for each cell. Choose the correct answer below. A. The expected values are always greater than the observed values. B. The totals for the observed and expected frequencies are the same. C. The totals for the observed values are always greater than the totals for the expected values. D. The observed values are always greater than the expected values. c. Compute chi Subscript STAT Superscript 2. Is it significant at alphaequals0.025?? First let pi1 be the proportion of all events of interest in? A, and let pi2 be the proportion of all events of interest in B. Determine the hypotheses. Choose the correct answer below. A. Upper H 0 : pi 1 equals pi 2 Upper H 1 : pi 1 not equals pi 2 B. Upper H 0 : pi 1 greater than or equals pi 2 Upper H 1 : pi 1 less than pi 2 C. Upper H 0 : pi 1 not equals pi 2 Upper H 1 : pi 1 equals pi 2 D. Upper H 0 : pi 1 less than or equals pi 2 Upper H 1 : pi 1 greater than pi 2 Calculate the test statistic. chi Subscript STAT Superscript 2equals nothing ?(Round to two decimal places as? needed.) What is the? p-value? ?p-valueequals nothing ?(Round to three decimal places as? needed.) Is this value significant at alphaequals0.025?? A. Yes?, because the? p-value is less than or equal to the alpha level.? Therefore, the null hypothesis should not be rejected. B. No?, because the? p-value is greater than the alpha level.? Therefore, the null hypothesis should be rejected. C. No?, because the? p-value is greater than the alpha level.? Therefore, the null hypothesis should not be rejected. D. Yes?, because the? p-value is less than or equal to the alpha level.? Therefore, the null hypothesis should be rejected.

Answer 1