Question

P-value

In an experiment, 18 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 1.09 seconds with a standard deviation of 1.86 seconds. Complete parts a through C. (a) State the null and alternative hypotheses to determine if babies tend to look at the hinderer toy longer than the helper toy. Let Hd = Hninderer - Helper where Mhinderer is the population mean time babies spend watching the climber approach the hinderer toy and Whelper is the population mean time babies spend watching the climber approach the helper toy. B. O A. Ho:Hd > 0 Hy: Md = 0 Ho:Hd < 0 H:Hd = 0 O C. Ho:Hd = 0 H:Hd70 F. Ho: Hd = 0 H:Hd > 0 D. Hoild = = 0 E. Hoid70 H:Hd = 0 Hy: 4d < 0 (b) 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 0.01 level of significance. Find the test statistic for this hypothesis test. 2.49 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.)

Answer 1

Answer Date: 26/05/2020 To test the hypothesis is that babies tend to look at the hinderer toy longer than hyper at 1% significance level. The null and alternative hypothesis is, H:/= 0 H:Hd > 0 The t-test statistics is 2.49. The degree of freedom is, d.f.=n-1 = 18-1 =17 The p-value is,

By using Excel software, find p-value with the help of the following steps: 1) Select TDIST from Functions. 2) Enter X, Deg_freedom and Tails. 3) Click Ok. TDIST = 2.49 X 2.49 Deg_freedom 17 Tails 1 = 17 = 1 = 0.011711023 From Excel output, the p-value is 0.012