Alligators have shown the ability to determine the direction of an airborne sound. But can they locate underwater sounds? This was the subject of a study. Alligators were monitored for movement toward a sound produced from a submerged diving bell. Movements within a 180° arc of the direction toward the sound were scored as movements toward the sound; all movements in other directions were scored as movements away from the sound. Consequently, the researchers assumed that the proportion of movements toward the sound expected by chance is 180°/360° = 0.5. In a sample of n = 50 alligators, 29 moved toward the underwater sound. Complete parts a through e below. a. Give the null and alternative hypotheses for testing whether the true proportion of alligators that move toward the underwater sound is higher than expected by chance. Let p be the true proportion of alligators that move toward the underwater sound. Choose the correct answer below. O A. Ho: p>0.50 vs. Ha: p= 0.50. O B. Ho: p= 0.50 vs. H: p<0.50 O C. Ho: p=0.50 vs. Ha: p#0.50 D. Ho: p= 0.50 vs. Ha: p>0.50 O E. Ho: p#0.50 vs. Ha: p= 0.50 O F. Ho: p< 0.50 vs. Ha: p= 0.50 b. In a sample of n= 50 alligators, assume that 29 moved toward the underwater sound. Use this information to compute an estimate of the true proportion of alligators that move toward the underwater sound. 0.58 (Round to two decimal places as needed.) c. Compute the test statistic for this study. (Round to two decimal places as needed.)
Alligators have shown the ability to determine the direction of an airborne sound. But can they locate underwater sounds? This was the subject of a study. Alligators were monitored for movement toward a sound produced from a submerged diving bell. Movements within a 180° arc of the direction toward the sound were scored as movements toward the sound; all movements in other directions were scored as movements away from the sound. Consequently, the researchers assumed that the proportion of movements toward the sound expected by chance is 180°/360° = 0.5. In a sample of n = 50 alligators, 29 moved toward the underwater sound. Complete parts a through e below. a. Give the null and alternative hypotheses for testing whether the true proportion of alligators that move toward the underwater sound is higher than expected by chance. Let p be the true proportion of alligators that move toward the underwater sound. Choose the correct answer below. O A. Ho: p>0.50 vs. Ha: p= 0.50. O B. Ho: p= 0.50 vs. H: p<0.50 O C. Ho: p=0.50 vs. Ha: p#0.50 D. Ho: p= 0.50 vs. Ha: p>0.50 O E. Ho: p#0.50 vs. Ha: p= 0.50 O F. Ho: p< 0.50 vs. Ha: p= 0.50 b. In a sample of n= 50 alligators, assume that 29 moved toward the underwater sound. Use this information to compute an estimate of the true proportion of alligators that move toward the underwater sound. 0.58 (Round to two decimal places as needed.) c. Compute the test statistic for this study. (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
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Transcribed Image Text:Alligators have shown the ability to determine the direction of an airborne sound. But can they locate underwater sounds? This was the subject of a study. Alligators were monitored for
movement toward a sound produced from a submerged diving bell. Movements within a 180° arc of the direction toward the sound were scored as movements toward the sound; all movements
in other directions were scored as movements away from the sound. Consequently, the researchers assumed that the proportion of movements toward the sound expected by chance is
180°/360° = 0.5. In a sample of n= 50 alligators, 29 moved toward the underwater sound. Complete parts a through e below.
a. Give the null and alternative hypotheses for testing whether the true proportion of alligators that move toward the underwater sound is higher than expected by chance. Let p be the true
proportion of alligators that move toward the underwater sound. Choose the correct answer below.
O A. Ho: p>0.50 vs. Ha: p= 0.50.
O B. Ho: p= 0.50 vs. H: p<0.50
O C. Ho: p= 0.50 vs. Ha: p#0.50
D. Ho: p= 0.50 vs. Ha: p> 0.50
O E. Ho: p#0.50 vs. Ha: p= 0.50
O F. Ho: p< 0.50 vs. Ha: p= 0.50
b. In a sample of n= 50 alligators, assume that 29 moved toward the underwater sound. Use this information to compute an estimate of the true proportion of alligators that move toward the
underwater sound.
0.58 (Round to two decimal places as needed.)
c. Compute the test statistic for this study.
(Round to two decimal places as needed.)
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