It is hypothesized that when homing pigeons are disoriented in a certain manner, they will exhibit no preference for any direction of flight after takeoff (so that the direction X should be uniformly distributed on the interval from 0° to 360°). To test this, 120 pigeons are disoriented, let loose, and the direction of flight of each is recorded; the resulting data follows. Use the chi-squared test at level 0.10 to see whether the data supports the hypothesis. Direction 0-<45° 45-<90° 90-<135° 135-<180° Frequency 11 17 16 15 Direction 180-<225° 225-<270° 270-<315° 315-<360° Frequency 13 20 17 11 A USE SALT State the appropriate hypotheses. O Hoi P " P2 = .. = Pa = 0.125 Hai no p,= 0.125 O Ho: P: * P2.. Pa* 0.125 Hi at least one p= 0.125 O Hoi Pi " P2 .." Pa = 0.125 Hi at least one p, 0.125 O Họi P, * P2 + .. * Pa + 0.125 Hi all p's = 0.125 Calculate the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test? O P-value < 0.005 O 0.005 < P-value < 0.01 O 0.01 < P-value < 0.025 O 0.025 < P-value < 0.05 O 0.05 s P-value s 9.10

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It is hypothesized that when homing pigeons are disoriented in a certain manner, they will exhibit no preference for any direction of flight after takeoff (so that the direction X should be uniformly distributed on the interval from 0° to 360°). To test this,
120 pigeons are disoriented, let loose, and the direction of flight of each is recorded; the resulting data follows. Use the chi-squared test at level 0.10 to see whether the data supports the hypothesis.
Direction
0-c45°
45-<90°
90-<135° 135-<180°
Frequency
11
17
16
15
Direction
| 180-<225° 225-<270° 270-<315° 315-<360°
Frequency
13
20
17
11
A USE SALT
State the appropriate hypotheses.
O Ho: P: = P2 = ... = Pa = 0.125
H: no p = 0.125
O Ho: P. * P2 * ... * Pa + 0.125
H: at least one p; = 0.125
O Ho: P1 = P2 = .. = Pg = 0.125
Ha: at least one p, 0.125
O Ho: P1 * P2 * ...* Pa* 0.125
Hai all p/'s = 0.125
Calculate the test statistic. (Round your answer to two decimal places.)
x? = (
What can be said about the P-value for the test?
O P-value < 0.005
O 0.005 < P-value < 0.01
O 0.01 < P-value < 0.025
O 0.025 < P-value < 0.05
O 0.05 < P-value < 0.10
O P-value > 0.10
Transcribed Image Text:It is hypothesized that when homing pigeons are disoriented in a certain manner, they will exhibit no preference for any direction of flight after takeoff (so that the direction X should be uniformly distributed on the interval from 0° to 360°). To test this, 120 pigeons are disoriented, let loose, and the direction of flight of each is recorded; the resulting data follows. Use the chi-squared test at level 0.10 to see whether the data supports the hypothesis. Direction 0-c45° 45-<90° 90-<135° 135-<180° Frequency 11 17 16 15 Direction | 180-<225° 225-<270° 270-<315° 315-<360° Frequency 13 20 17 11 A USE SALT State the appropriate hypotheses. O Ho: P: = P2 = ... = Pa = 0.125 H: no p = 0.125 O Ho: P. * P2 * ... * Pa + 0.125 H: at least one p; = 0.125 O Ho: P1 = P2 = .. = Pg = 0.125 Ha: at least one p, 0.125 O Ho: P1 * P2 * ...* Pa* 0.125 Hai all p/'s = 0.125 Calculate the test statistic. (Round your answer to two decimal places.) x? = ( What can be said about the P-value for the test? O P-value < 0.005 O 0.005 < P-value < 0.01 O 0.01 < P-value < 0.025 O 0.025 < P-value < 0.05 O 0.05 < P-value < 0.10 O P-value > 0.10
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