Question

Research Scenario: Matijczak et al. (2023) was curious: Does interacting with a dog have an impact on anxiety for adults? To study this, researchers used a sample of N = 30 adults. After a stress-inducing activity, the sample interacted with a dog for a short period of time. Then, the sample completed the State/Trait Anxiety Inventory (STAI) and had M = 36 on anxiety. For the general population of adults who did not interact with a dog, scores on the STAI Scale form a normal distribution with µ = 42. On the STAI, the higher the score, the more anxiety an individual has. After conducting a two-tailed test using 0.05 significance level, the researchers calculated t = -2.25 and d = 0.32 for this sample. Write a Summary Statement for this research scenario.

          Research Scenario: Matijczak et al. (2023) was curious: Does interacting with a dog have an impact on anxiety for adults? To study this, researchers used a sample of N = 30 adults. After a stress-inducing activity, the sample interacted with a dog for a short period of time. Then, the sample completed the State/Trait Anxiety Inventory (STAI) and had M = 36 on anxiety. For the general population of adults who did not interact with a dog, scores on the STAI Scale form a normal distribution with µ = 42. On the STAI, the higher the score, the more anxiety an individual has. After conducting a two-tailed test using 0.05 significance level, the researchers calculated t = -2.25 and d = 0.32 for this sample.
Write a Summary Statement for this research scenario.

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Oluwadamilola Ameobi

08/04/2023

Step 1

The researchers, Matijczak et al. (2023), aimed to investigate whether interacting with a dog has an impact on anxiety levels in adults. The null hypothesis (H0) posits that there is no difference in anxiety levels (STAI scores) between adults who interact with Show more…

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Research Scenario: Matijczak et al. (2023) was curious: Does interacting with a dog have an impact on anxiety for adults? To study this, researchers used a sample of N = 30 adults. After a stress-inducing activity, the sample interacted with a dog for a short period of time. Then, the sample completed the State/Trait Anxiety Inventory (STAI) and had M = 36 on anxiety. For the general population of adults who did not interact with a dog, scores on the STAI Scale form a normal distribution with µ = 42. On the STAI, the higher the score, the more anxiety an individual has. After conducting a two-tailed test using 0.05 significance level, the researchers calculated t = -2.25 and d = 0.32 for this sample. Write a Summary Statement for this research scenario.

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00:01 A psychologist is interested in the effect of animal therapy on kids who have anxiety disorder.

00:06 She knows that the population mean on the test of anxiety for these kids is 24 .7 with a standard deviation of she collects a sample of 27 children and exposes them to therapy dogs for a period of six months.

00:27 She then sets test their anxiety levels and then she obtains a mean of 22 .3.

00:34 Test the hypothesis that the therapy influences the anxiety in children with an anxiety disorder using an alpha level of 0 .05.

00:44 Secondly, compute a 95 confidence interval for the mean anxiety of kids who undergo animal therapy and compute the effect size of an interpreter using the cohen's guideline.

00:57 Firstly, the null hypothesis is that the therapy does not influence the anxiety in children with this with the anxiety disorder.

01:05 So the null hypothesis is that u is equal to 24 .7.

01:10 The alternative hypothesis is that the therapy influences the anxiety in children with anxiety disorder.

01:18 So this is not equal to 24 .7.

01:22 So the significance level is given as 0 .05.

01:26 Df is given as 27 minus one which is 26.

01:31 So the test statistic will be t equals to x the mean minus u divided by s over square root of n.

01:39 X is the sample mean which is 22 .3.

01:42 The u is the population mean.

01:44 X is the standard deviation and it's a sample size.

01:48 So t will be 22 .3 minus 24 .7 divided by s 3 .9 divided by the square root of 27...

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