A graduate student conducted an experiment in which 21 ten-month-old babies were asked to watch a climber character attempt to ascend a hill. On two occasions, the baby witnesses the character fail to make the climb. On the third attempt, the baby witnesses either a helper toy push the character up the hill or a hinderer toy prevent the character from making the ascent. The helper and hinderer toys were shown to each baby in a random fashion for a fixed amount of time. The baby was then placed in front of each toy and allowed to choose which toy he or she wished to play with. In 19 of the 21 cases, the baby chose the helper toy. Complete parts (a) through (d) below. (d) In testing 13 six-month-old babies, all 13 preferred the helper toy. The P-value was reported as 0.0001. Interpret this result. Choose the correct answer below. O A. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in about 13 out of 1000 samples of 13 babies. B. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in about 1 out of 10,000 samples of 13 babies. C. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in exactly 13 out of 1000 samples of 13 babies. D. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in exactly 1 out of 10,000 samples of 13 bahies

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A graduate student conducted an experiment in which 21 ​ten-month-old babies were asked to watch a climber character attempt to ascend a hill. On two​ occasions, the baby witnesses the character fail to make the climb. On the third​ attempt, the baby witnesses either a helper toy push the character up the hill or a hinderer toy prevent the character from making the ascent. The helper and hinderer toys were shown to each baby in a random fashion for a fixed amount of time. The baby was then placed in front of each toy and allowed to choose which toy he or she wished to play with. In 19 of the 21 ​cases, the baby chose the helper toy. Complete parts ​(a) through ​(d) below.

 

A graduate student conducted an experiment in which 21 ten-month-old babies were asked to watch a climber character attempt to ascend a hill. On two occasions, the
baby witnesses the character fail to make the climb. On the third attempt, the baby witnesses either a helper toy push the character up the hill or a hinderer toy prevent
the character from making the ascent. The helper and hinderer toys were shown to each baby in a random fashion for a fixed amount of time. The baby was then
placed in front of each toy and allowed to choose which toy he or she wished to play with. In 19 of the 21 cases, the baby chose the helper toy. Complete parts (a)
through (d) below.
(d) In testing 13 six-month-old babies, all 13 preferred the helper toy. The P-value was reported as 0.0001. Interpret this result. Choose the correct answer below.
O A. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in about 13 out of 1000 samples
of 13 babies.
O B. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in about 1 out of 10,000
samples of 13 babies.
O C. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in exactly 13 out of 1000
samples of 13 babies.
O D. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in exactly 1 out of 10,000
samples of 13 babies
Transcribed Image Text:A graduate student conducted an experiment in which 21 ten-month-old babies were asked to watch a climber character attempt to ascend a hill. On two occasions, the baby witnesses the character fail to make the climb. On the third attempt, the baby witnesses either a helper toy push the character up the hill or a hinderer toy prevent the character from making the ascent. The helper and hinderer toys were shown to each baby in a random fashion for a fixed amount of time. The baby was then placed in front of each toy and allowed to choose which toy he or she wished to play with. In 19 of the 21 cases, the baby chose the helper toy. Complete parts (a) through (d) below. (d) In testing 13 six-month-old babies, all 13 preferred the helper toy. The P-value was reported as 0.0001. Interpret this result. Choose the correct answer below. O A. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in about 13 out of 1000 samples of 13 babies. O B. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in about 1 out of 10,000 samples of 13 babies. O C. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in exactly 13 out of 1000 samples of 13 babies. O D. If the population proportion of babies who choose the helper is 0.5, a sample where all 13 babies choose the helper will occur in exactly 1 out of 10,000 samples of 13 babies
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