Alligators have shown the ability to determine the direction of an airborne sound. But can they locate underwater​ sound

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answerhappygod
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Alligators have shown the ability to determine the direction of an airborne sound. But can they locate underwater​ sound

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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=100 ​alligators, 64 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.
A. H0: p=0.50 vs. Ha: p>0.50
B. H0: p>0.50 vs. Ha: p=0.50
C. H0: p=0.50 vs. Ha: p≠0.50
D. H0: p≠0.50 vs. Ha: p=0.50
E. H0: p<0.50 vs. Ha: p=0.50
F. H0: p=0.50 vs. Ha: p<0.50
Part 2
b. In a sample of n=100 alligators, assume
that 64 moved toward the underwater sound. Use this
information to compute an estimate of the true proportion of
alligators that move toward the underwater sound.
enter your response here
​(Round to two decimal places as​ needed.)
Part 3
c. Compute the test statistic for this study.
enter your response here
​(Round to two decimal places as​ needed.)
Part 4
d. Compute the observed significance level​ (p-value) of
the test.
enter your response here
​(Round to three decimal places as​ needed.)
Part 5
e. Make the appropriate conclusion in the words of the problem.
Test using α=0.05.
A. Reject the null hypothesis.
There is sufficient evidence to conclude that the true
proportion of alligators that move toward the underwater sound is
higher than expected by chance.
B. Do not reject the null hypothesis.
There is sufficient evidence to conclude that the true
proportion of alligators that move toward the underwater sound is
higher than expected by chance.
C. Do not reject the null hypothesis.
There is not sufficient evidence to conclude that
the true proportion of alligators that move toward the underwater
sound is higher than expected by chance.
D. Reject the null hypothesis.
There is not sufficient evidence to conclude that
the true proportion of alligators that move toward the underwater
sound is higher than expected by chance.
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