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, p, =0.3, CELL 1 2 3 4 Pa =0.1, and Pa = 0.4? Test, using a =0.05. n 84 109 39 168 Choose the correct null and alternative hypotheses below. A. 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 p = 0.4 Ha: P1 =0.8, p2 0.7, P3 0.9, and p4 = 0.6 OC. Ho: P, =0.2, p2 0.3, P3 0.1, and p, = 0.4 Ha: P1 =0.25, p2 = 0.25, p3 0.25, and p4 =0.25 OD. Ho: P, =0.2, p2 = 0.3, p3 = 0.1, and p = 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
1
2
3
4
n
84 109 39
168
Choose the correct null and alternative hypotheses below.
A. Ho: P, = 0.2, p, = 0.3, p3 = 0.1, and p = 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 p4 = 0.4
Ha: P1 = 0.8, P2 = 0.7, p3 = 0.9, and p4 = 0.6
OC. 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: P, = 0.2, p2 = 0.3, p3 = 0.1, and p =0.4
Ha: P, #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 1 2 3 4 n 84 109 39 168 Choose the correct null and alternative hypotheses below. A. Ho: P, = 0.2, p, = 0.3, p3 = 0.1, and p = 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 p4 = 0.4 Ha: P1 = 0.8, P2 = 0.7, p3 = 0.9, and p4 = 0.6 OC. 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: P, = 0.2, p2 = 0.3, p3 = 0.1, and p =0.4 Ha: P, #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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