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, 34 moved toward the underwater sound. Complete
parts a
through e below.
b. In a sample of n = 50 alligators, assume that 34 moved toward the underwater sound. Use this information to
compute an estimate of the true proportion
of alligators that move toward the underwater sound.
0.68 (Round to two decimal places as needed.)
c. Compute the test statistic for this study.
2.55 (Round to two decimal places as needed.)
d. Compute the observed significance level (p-value) of the test.
☐ (Round to three decimal places as needed.)