It is hypothesized that when homing pigeons are disoriented in a certain manner that they will exhibit no preference for any angular direction measured in degrees of flight after takeoff. One notes that takeoff direction measured in angles should be uniformly distributed among all 360° if this were the case. To test this, 120 pigeons are disoriented, let loose, and the direction of flight of each is recorded; the resulting data follows. Direction 0° - 45° 46° 90° 91° - 135° 136° 180° 181° - 225° 226° - 270° 271° - 315° [Frequency 12 17 13 20 17 16 15 316° - 10 - 360° State the relevant null hypothesis necessary to test the claim and then conduct a hypothesis test at signifi- cance level a = 0.10 to see if data supports the hypothesis. [Hint: consider the implications of the uniform distribution on the null hypothesis and look at the number of angular ranges which the birds may fly in.]

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It is hypothesized that when homing pigeons are disoriented in a certain manner that they will exhibit no
preference for any angular direction measured in degrees of flight after takeoff. One notes that takeoff direction
measured in angles should be uniformly distributed among all 360° if this were the case. To test this, 120
pigeons are disoriented, let loose, and the direction of flight of each is recorded; the resulting data follows.
Direction 0° - 45° 46° 90° 91° - 135° 136° 180° 181° - 225° 226° - 270° 271° - 315°
[Frequency 12
17
13
20
17
16
15
316° -
10
- 360°
State the relevant null hypothesis necessary to test the claim and then conduct a hypothesis test at signifi-
cance level a = 0.10 to see if data supports the hypothesis. [Hint: consider the implications of the uniform
distribution on the null hypothesis and look at the number of angular ranges which the birds may fly in.]
Transcribed Image Text:It is hypothesized that when homing pigeons are disoriented in a certain manner that they will exhibit no preference for any angular direction measured in degrees of flight after takeoff. One notes that takeoff direction measured in angles should be uniformly distributed among all 360° if this were the case. To test this, 120 pigeons are disoriented, let loose, and the direction of flight of each is recorded; the resulting data follows. Direction 0° - 45° 46° 90° 91° - 135° 136° 180° 181° - 225° 226° - 270° 271° - 315° [Frequency 12 17 13 20 17 16 15 316° - 10 - 360° State the relevant null hypothesis necessary to test the claim and then conduct a hypothesis test at signifi- cance level a = 0.10 to see if data supports the hypothesis. [Hint: consider the implications of the uniform distribution on the null hypothesis and look at the number of angular ranges which the birds may fly in.]
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