Use the contingency table to the right to complete parts (a) through (c) below. A B Total 1 55 15 70 2 15 40 55 Total 70 55 125 Question content area bottom Part 1 a. Find the expected frequency for each cell. A B Total 1 enter your response here enter your response here 70 2 enter your response here enter your response here 55 Total 70 55 125 (Type integers or decimals.) Part 2 b. Compare the observed and expected frequencies for each cell. Choose the correct answer below. A. The totals for the observed and expected frequencies are the same. B. The expected values are always greater than the observed values. C. The observed values are always greater than the expected values. D. The totals for the observed values are always greater than the totals for the expected values. Part 3. Compute χ2STAT.Is it significant at α=0.025? First let π Subscript 1 be the proportion of all events of interest in A, and let π Subscript 2 be the proportion of all events of interest in B. Determine the hypotheses. Choose the correct answer below. A.Upper H 0 : pi 1 greater than or equals pi 2 Upper H 1 : pi 1 less than pi 2 H0: π1≥π2 H1: π1<π2 B.Upper H 0 : pi 1 less than or equals pi 2 Upper H 1 : pi 1 greater than pi 2 H0: π1≤π2 H1: π1>π2 C.Upper H 0 : pi 1 equals pi 2 Upper H 1 : pi 1 not equals pi 2 H0: π1=π2 H1: π1≠π2 D.Upper H 0 : pi 1 not equals pi 2 Upper H 1 : pi 1 equals pi 2 H0: π1≠π2 H1: π1=π2 Part 4 Calculate the test statistic. χ2STAT= enter your response here (Round to two decimal places as needed.) Part 5 What is the p-value? p-value=enter your response here
Use the
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A
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B
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Total
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1
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55
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15
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70
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2
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15
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40
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55
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Total
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70
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55
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125
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Question content area bottom
Part 1
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A
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B
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Total
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1
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enter your response here
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enter your response here
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70
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2
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enter your response here
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enter your response here
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55
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Total
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70
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55
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125
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Part 2
b. Compare the observed and expected frequencies for each cell. Choose the correct answer below. A. The totals for the observed and expected frequencies are the same. B. The
Part 3. Compute χ2STAT.Is it significant at α=0.025?
First let π Subscript 1 be the proportion of all
A.Upper H 0 : pi 1 greater than or equals pi 2 Upper H 1 : pi 1 less than pi 2 H0: π1≥π2 H1: π1<π2
B.Upper H 0 : pi 1 less than or equals pi 2 Upper H 1 : pi 1 greater than pi 2 H0: π1≤π2 H1: π1>π2
C.Upper H 0 : pi 1 equals pi 2 Upper H 1 : pi 1 not equals pi 2 H0: π1=π2 H1: π1≠π2
D.Upper H 0 : pi 1 not equals pi 2 Upper H 1 : pi 1 equals pi 2 H0: π1≠π2 H1: π1=π2
Part 4 Calculate the test statistic.
χ2STAT= enter your response here (Round to two decimal places as needed.)
Part 5 What is the p-value?
p-value=enter your response here
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