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-<900 90-<135° 135-<180° Frequency 12 17 17 15 | 180-<225° 225-<270° 270-<315° 315-<360° Direction Frequency 13 20 17 A USE SALT State the appropriate hypotheses. O Ho: P: * P2 * ... * Pg * 0.125 H all p's = 0.125 O Họ: 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: P - P2 -.." Pa-0.125 H: at least one p 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 < Pvalue < 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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
It is hypothesized that when homing pigeons are disoriented in a certain manner, they vrill 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
12
17
17
15
Direction
180-<225
225-<270° 270-<315° 315-<360°
Frequency
13
20
17
A USE SALT
State the appropriate hypotheses.
O Ho: P1 * P2 + ... + Pg + 0.125
Hại all p,'s = 0.125
O Ho: P1 = P2 = ... = Pa = 0.125
Hạ: no p,= 0.125
O Ho: P1 * P2 + .. + Pg + 0.125
Ha: at least one p, = 0.125
O Ho: P1 = P2 = ... = Pa = 0.125
Hạ: at least one p, + 0.125
Calculate the test statistic. (Round your answer to two decimal places.)
x2 = [
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 vrill 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 12 17 17 15 Direction 180-<225 225-<270° 270-<315° 315-<360° Frequency 13 20 17 A USE SALT State the appropriate hypotheses. O Ho: P1 * P2 + ... + Pg + 0.125 Hại all p,'s = 0.125 O Ho: P1 = P2 = ... = Pa = 0.125 Hạ: no p,= 0.125 O Ho: P1 * P2 + .. + Pg + 0.125 Ha: at least one p, = 0.125 O Ho: P1 = P2 = ... = Pa = 0.125 Hạ: at least one p, + 0.125 Calculate the test statistic. (Round your answer to two decimal places.) x2 = [ 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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON