a We are now ready to find the rejection region for the test statistic X² = 8.73 with df = 4 and x = 0.05. On the excerpt of the Chi-Square table below, locate the row that corresponds to 4 df and the column that corresponds to a right-tail area of 0.05. The cell where these intersect contains the X0.050² critical value for the rejection region. = df 1 2 < 5 2 X0.995 6 0.0000393 3 0.0717212 0.0100251 4 0.206990 0.411740 0.675727 www 2 O p-value > 0.100 X0.950 0.0039321 0.102587 0.351846 1.145476 X0.900² 1.63539 0.0157908 2 X0.100 0.710721 1.063623 7.77944 1.61031 2 X0.050 2.70554 3.84146 0.210720 4.60517 5.99147 0.584375 6.25139 7.81473 State the critical value for the rejection region, rounded to two decimal places. X0.050² 9.48773 9.23635 11.0705 2.20413 10.6446 12.5916 *** X0.005 df 2 7.87944 1 10.5966 2 12.8381 3 14.8602 4 16.7496 5 2 The rejection region consists of Chi-Square values larger than X0.050². That is, rounded to two decimal places, the rejection region is X² > 18.5476 6 The table can also help us determine an interval for the p-value associated with X2 = 8.73. Look again on the row that corresponds to 4 df and determine which two values the test statistic of X² = 8.73 falls between. Based on the fact that the value 8.73 lies between X0.100 2 = 7.77944 and 2 X0.050 = ---Select--- , select the statement below that best describes the p-value. O p-value < 0.005 O 0.005 p-value < 0.010 O 0.010 p-value < 0.025 0.025 p-value < 0.050 0.050 < p-value < 0.100
a We are now ready to find the rejection region for the test statistic X² = 8.73 with df = 4 and x = 0.05. On the excerpt of the Chi-Square table below, locate the row that corresponds to 4 df and the column that corresponds to a right-tail area of 0.05. The cell where these intersect contains the X0.050² critical value for the rejection region. = df 1 2 < 5 2 X0.995 6 0.0000393 3 0.0717212 0.0100251 4 0.206990 0.411740 0.675727 www 2 O p-value > 0.100 X0.950 0.0039321 0.102587 0.351846 1.145476 X0.900² 1.63539 0.0157908 2 X0.100 0.710721 1.063623 7.77944 1.61031 2 X0.050 2.70554 3.84146 0.210720 4.60517 5.99147 0.584375 6.25139 7.81473 State the critical value for the rejection region, rounded to two decimal places. X0.050² 9.48773 9.23635 11.0705 2.20413 10.6446 12.5916 *** X0.005 df 2 7.87944 1 10.5966 2 12.8381 3 14.8602 4 16.7496 5 2 The rejection region consists of Chi-Square values larger than X0.050². That is, rounded to two decimal places, the rejection region is X² > 18.5476 6 The table can also help us determine an interval for the p-value associated with X2 = 8.73. Look again on the row that corresponds to 4 df and determine which two values the test statistic of X² = 8.73 falls between. Based on the fact that the value 8.73 lies between X0.100 2 = 7.77944 and 2 X0.050 = ---Select--- , select the statement below that best describes the p-value. O p-value < 0.005 O 0.005 p-value < 0.010 O 0.010 p-value < 0.025 0.025 p-value < 0.050 0.050 < p-value < 0.100
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We are now ready to find the rejection region for the test statistic X2 = 8.73 with df = 4 and a = 0.05. On the excerpt of the Chi-Square table below, locate
the row that corresponds to 4 df and the column that corresponds to a right-tail area of 0.05. The cell where these intersect contains the X0.050² critical
value for the rejection region.
=
df
X0.995
1 0.0000393
2
2 0.0100251
3 0.0717212
4 0.206990
5
6
0.411740
0.675727
...
2
X0.950
0.0039321
0.102587
2
1.145476
X0.900
1.63539
0.0157908
0.351846 0.584375
0.210720
0.710721 1.063623
1.61031
2
2
X0.100
X0.050
2.70554 3.84146
4.60517 5.99147
6.25139 7.81473
7.77944 9.48773
9.23635 11.0705
2.20413 10.6446 12.5916
***
X 0.005
2
7.87944 1
10.5966
df
14.8602
2
12.8381 3
4
16.7496 5
18.5476 6
State the critical value for the rejection region, rounded to two decimal places.
2
X0.050
The rejection region consists of Chi-Square values larger than X0.050². That is, rounded to two decimal places, the rejection region is X² >
The table can also help us determine an interval for the p-value associated with X² = 8.73. Look again on the row that corresponds to 4 df and determine
which two values the test statistic of X² = 8.73 falls between. Based on the fact that the value 8.73 lies between X0.100² = 7.77944 and
2
2
X0.050
= ---Select--- , select the statement below that best describes the p-value.
O p-value < 0.005
0.005 p-value < 0.010
0.010 < p-value < 0.025
O 0.025 p-value < 0.050
0.050 p-value < 0.100
O p-value > 0.100
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