A graduate student conducted an experiment in which 15 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 13 of the 15 cases, the baby chose the helper toy. Complete parts ​(a) through ​(d) below.

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A graduate student conducted an experiment in which 15 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 13 of the 15 cases, the baby chose the helper toy. Complete parts ​(a) through ​(d) below.

 

(c) Use the binomial probability formula to determine the P-value for this test.
P-value =
(Round to three decimal places as needed.)
What is the correct conclusion regarding the null hypothesis?
A. Do not reject Ho. Although no level of significance is given, there is sufficient evidence to suggest the proportion of babies who choose the helper toy is greater
than 0.5.
B. Reject Ho. Although no level of significance is given, there is sufficient evidence to suggest the proportion of babies who choose the helper toy is greater than
0.5.
O C. Do not reject Ho. Although no level of significance is given, there is insufficient evidence to suggest the proportion of babies who choose the helper toy is
greater than 0.5.
D. Reject Ho. Although no level of significance is given, there is insufficient evidence to suggest the proportion of babies who choose the helper toy is greater
than 0.5.
Transcribed Image Text:(c) Use the binomial probability formula to determine the P-value for this test. P-value = (Round to three decimal places as needed.) What is the correct conclusion regarding the null hypothesis? A. Do not reject Ho. Although no level of significance is given, there is sufficient evidence to suggest the proportion of babies who choose the helper toy is greater than 0.5. B. Reject Ho. Although no level of significance is given, there is sufficient evidence to suggest the proportion of babies who choose the helper toy is greater than 0.5. O C. Do not reject Ho. Although no level of significance is given, there is insufficient evidence to suggest the proportion of babies who choose the helper toy is greater than 0.5. D. Reject Ho. Although no level of significance is given, there is insufficient evidence to suggest the proportion of babies who choose the helper toy is greater than 0.5.
A graduate student conducted an experiment in which 15 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 13 of the 15 cases, the baby chose the helper toy. Complete parts (a)
through (d) below.
(a) Why is it important to randomly expose the baby to the helper or hinderer toy first?
A. The randomness in the order of exposure is important to avoid bias.
B. The randomness in the order of exposure is important to satisfy the conditions of using the binomial probability distribution.
O C. The randomness in the order of exposure is important to minimize the effect of the sample standard deviation.
O D. The randomness in the order of exposure is important to make sure half the babies see the helper first and the other half see the hinderer first.
(b) What would be the appropriate null and alternative hypotheses if the researcher is attempting to show that babies prefer helpers over hinderers?
Ho: P
0.5
H1: p
0.5
Rest Converter
Transcribed Image Text:A graduate student conducted an experiment in which 15 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 13 of the 15 cases, the baby chose the helper toy. Complete parts (a) through (d) below. (a) Why is it important to randomly expose the baby to the helper or hinderer toy first? A. The randomness in the order of exposure is important to avoid bias. B. The randomness in the order of exposure is important to satisfy the conditions of using the binomial probability distribution. O C. The randomness in the order of exposure is important to minimize the effect of the sample standard deviation. O D. The randomness in the order of exposure is important to make sure half the babies see the helper first and the other half see the hinderer first. (b) What would be the appropriate null and alternative hypotheses if the researcher is attempting to show that babies prefer helpers over hinderers? Ho: P 0.5 H1: p 0.5 Rest Converter
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