A graduate student conducted an experiment in which 19 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, thebaby 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 babywas then placed in front of each toy and allowed to choose which toy he or she wished to play with. In 17 of the 19 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 minimize the effect of the sample standard deviation.B. The randomness in the order of exposure is important to satisfy the conditions of using the binomial probability distribution.C. The randomness in the order of exposure is important to avoid bias.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: P0.5H₁: p0.5(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 insufficient 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.C. 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 19 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, thebaby 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 babywas then placed in front of each toy and allowed to choose which toy he or she wished to play with. In 17 of the 19 cases, the baby chose the helper toy. Complete parts (a) through (d) below.Ho: P▼10.5H₁: p0.5(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 insufficient 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.C. 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. 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.(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.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 exactly 13 out of 1000 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 1 out of 10,000 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 about 1 out of 10,000 samples of 13 babies.

Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

(a) Why is it important to randomly expose the baby to the helper or hinderer toy first? OA. The randomness in the order of exposure is important to minimize the effect of the sample standard deviation. OB. The randomness in the order of exposure is important to satisfy the conditions of using the binomial probability distribution. OC. The randomness in the order of exposure is important to avoid bias. 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: P0.5 H₁: p0.5 (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? O A. 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. OB. 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. OC. 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.

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P