A multinomial experiment with k = 4 cells and n= 400 produced the data shown in the one-way table to the right. do these data provide sufficient evidence to contradict the null hypothesis that p, = 0.2, P2 = 0.3, P3 = 0.1, and P4 = 0.4? Test, using a = 0.05. CELL 1 4. 84 109 39 168 Choose the correct null and alternative hypotheses below. CA. Ho: P, = 0.2, p2 = 0.3, p3 = 0.1, and pa = 0.4 Ha: At least one of the proportions differs from its hypothesized value O B. Ho: P, = 0.2, P2 = 0.3, P3 = 0.1, and pa = 0.4 Ha: P1 = 0.8, P2 = 0.7, P3 = 0.9, and P4 = 0.6 O C. Ho: P, = 0.2, p2 = 0.3, p3 = 0.1, and p = 0.4 Ha: P1 = 0.25, pP2 = 0.25, p3 0.25, and p4 = 0.25 O D. Ho: P1 =0.2, p2 = 0.3, p3 = 0.1, and p4 = 0.4 Ha: P1 #0.2, P2 #0.3, p3 #0.1, and p4 #0.4 Find the value of the chi-square statistic. (Round to three decimal places as needed.)

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A multinomial experiment with k = 4 cells and n = 400 produced the data shown in the one-way table to the
right. do these data provide sufficient evidence to contradict the null hypothesis that p, = 0.2, P2 = 0.3,
P3 = 0.1, and P4 = 0.4? Test, using a = 0.05.
CELL
2
3
4
84
109
39
168
Choose the correct null and alternative hypotheses below.
A. Ho: P1 =0.2, p2 = 0.3, p3 = 0.1, and p, = 0.4
Ha: At least one of the proportions differs from its hypothesized value
O B. Ho: P1 = 0.2, p2 = 0.3, p3 = 0.1, and p4 = 0.4
Ha: P1 = 0.8, p2 = 0.7, p3 = 0.9, and p4 = 0.6
O C. Ho: P, = 0.2, p2 = 0.3, p3 = 0.1, and p4 = 0.4
Ha: P1 = 0.25, P2 = 0.25, p3 = 0.25, and p4 = 0.25
O D. Ho: P1 =0.2, p2 = 0.3, P3 = 0.1, and p4 = 0.4
Ha: P1 #0.2, p2 #0.3, p3 # 0.1, and p4 #0.4
Find the value of the chi-square statistic.
(Round to three decimal places as needed.)
Transcribed Image Text:A multinomial experiment with k = 4 cells and n = 400 produced the data shown in the one-way table to the right. do these data provide sufficient evidence to contradict the null hypothesis that p, = 0.2, P2 = 0.3, P3 = 0.1, and P4 = 0.4? Test, using a = 0.05. CELL 2 3 4 84 109 39 168 Choose the correct null and alternative hypotheses below. A. Ho: P1 =0.2, p2 = 0.3, p3 = 0.1, and p, = 0.4 Ha: At least one of the proportions differs from its hypothesized value O B. Ho: P1 = 0.2, p2 = 0.3, p3 = 0.1, and p4 = 0.4 Ha: P1 = 0.8, p2 = 0.7, p3 = 0.9, and p4 = 0.6 O C. Ho: P, = 0.2, p2 = 0.3, p3 = 0.1, and p4 = 0.4 Ha: P1 = 0.25, P2 = 0.25, p3 = 0.25, and p4 = 0.25 O D. Ho: P1 =0.2, p2 = 0.3, P3 = 0.1, and p4 = 0.4 Ha: P1 #0.2, p2 #0.3, p3 # 0.1, and p4 #0.4 Find the value of the chi-square statistic. (Round to three decimal places as needed.)
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