Use the following information to answer the next four problems:  In an​ experiment, 1919 babies were asked to watch a climber attempt to ascend a hill. On two​ occasions, the baby witnesses the climber fail to make the climb.​ Then, the baby witnesses either a helper toy push the climber up the​ hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random fashion. A second part of this experiment showed the climber approach the helper​ toy, which is not a surprising​ action, and then the climber approached the hinderer​ toy, which is a surprising action. The amount of time the baby watched the event was recorded. The mean difference in time spent watching the climber approach the hinderer toy versus watching the climber approach the helper toy was 105 seconds with a standard deviation of 195 seconds. State the null and alternative hypotheses to determine if babies tend to look at the hinderer toy longer than the helper toy. Let μd=μhinderer−μhelper, where μhinderer is the population mean time babies spend watching the climber approach the hinderer toy and μhelper is the population mean time babies spend watching the climber approach the helper toy. Group of answer choices Ho: μd=0 versus H1:μd>0 Ho: μd=0 versus H1:μd<0 Ho: μd≠0 versus H1:μd=0 Ho: μd=0 versus H1:μd≠0   Assuming the differences are normally distributed with no​ outliers, test if the difference in the amount of time the baby will watch the hinderer toy versus the helper toy is greater than 0 at the  0.10 level of significance. Find the test statistic for this particular hypothesis test.  Group of answer choices 3.11 3.26 2.25 2.35   Find the P-value for this hypothesis test.  Group of answer choices 0.015 0.519 0.144 0.099   State the conclusion for this hypothesis test. Group of answer choices Do not reject H0. There is not sufficient evidence at the α=0.10 level of significance to conclude that the difference is greater than 0.  Reject H0. There is sufficient evidence at the α=0.10 level of significance to conclude that the difference is greater than 0.  Reject H0. There is not sufficient evidence at the α=0.10 level of significance to conclude that the difference is greater than 0.  Do not reject H0. There is sufficient evidence at the α=0.10 level of significance to conclude that the difference is greater than 0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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Use the following information to answer the next four problems: 

In an​ experiment, 1919 babies were asked to watch a climber attempt to ascend a hill. On two​ occasions, the baby witnesses the climber fail to make the climb.​ Then, the baby witnesses either a helper toy push the climber up the​ hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random fashion. A second part of this experiment showed the climber approach the helper​ toy, which is not a surprising​ action, and then the climber approached the hinderer​ toy, which is a surprising action. The amount of time the baby watched the event was recorded. The mean difference in time spent watching the climber approach the hinderer toy versus watching the climber approach the helper toy was 105 seconds with a standard deviation of 195 seconds.

State the null and alternative hypotheses to determine if babies tend to look at the hinderer toy longer than the helper toy. Let μd=μhinderer−μhelper, where μhinderer is the population mean time babies spend watching the climber approach the hinderer toy and μhelper is the population mean time babies spend watching the climber approach the helper toy.
Group of answer choices
Ho: μd=0 versus H1:μd>0
Ho: μd=0 versus H1:μd<0
Ho: μd≠0 versus H1:μd=0
Ho: μd=0 versus H1:μd≠0
 
Assuming the differences are normally distributed with no​ outliers, test if the difference in the amount of time the baby will watch the hinderer toy versus the helper toy is greater than 0 at the  0.10 level of significance. Find the test statistic for this particular hypothesis test. 
Group of answer choices
3.11
3.26
2.25
2.35
 
Find the P-value for this hypothesis test. 
Group of answer choices
0.015
0.519
0.144
0.099
 
State the conclusion for this hypothesis test.
Group of answer choices
Do not reject H0. There is not sufficient evidence at the α=0.10 level of significance to conclude that the difference is greater than 0. 
Reject H0. There is sufficient evidence at the α=0.10 level of significance to conclude that the difference is greater than 0. 
Reject H0. There is not sufficient evidence at the α=0.10 level of significance to conclude that the difference is greater than 0. 
Do not reject H0. There is sufficient evidence at the α=0.10 level of significance to conclude that the difference is greater than 0. 
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