A story spoiler gives away the ending early. Does having a story spoiled in this

Question

A story spoiler gives away the ending early. Does having a story spoiled in this way hurt enjoyment? In a research study, for 12 randomly selected short stories, the researchers created a second version in which a spoiler paragraph at the beginning discussed the story and revealed the outcome. Then each version of each story is given to some volunteers, and the volunteers report their overall rating for each story for the two versions. (1) (2 points) The output of a certain step in the statistical analysis is given below. What are the name and purpose of this test? generate Diff spoiler original swilk Diff Shapiro-Wilk W test for normal data Variable Obs Prob z 0.92011 Diff 12 0.97091 0.486 1.406 (2) (2 points) What is the conclusion of the test above? Why? How does the conclusion affect the paired T procedure? Paired t test variable Obs Mean Std. Err Std. Dev 1993 Conf Interval] 3522296 spoiler 12 6.216667 5.12271 1.220159 7.310623 6.851402 original 12 5.725 3626763 1.256347 4.598598 1800094 1003466 diff 12 3476109 8033238 4916666 mean (diff) mean (spoiler original 4.8997 Ho: mean (diff) 11 degrees of freedom Ha: mean (diff) 0 Ha: mean (diff) 0 Ha: mean (diff) 0 Pr (T t) 0.9998 Pr (ITI ti) 0.0005 Pr (T t) 0.0002

Explanation / Answer

Part-1:

This is Shapiro-Wilk test to test the normality of difference of paired observations. The purpose is to test normality of the difference of spoiler and original.

Part-2:

As p-value of test is 0.92011>0.05, so we conclude that the difference is normally distributed. This make the paired t-test valid as normality od difference is required in paired t-test.

Part-3:

The point estimation of mean difference =0.4916666

Part-4

99% confidence interval = (0.1800094, 0.8033238)

This means that we are 99% confident that this interval contains that true mean of the difference in the story rating of spoiler and original version.

Part-5

Null hypothesis H0: µd=0

Alternative hypothesis Ha: µd=0

Here µd is the true mean of the difference in the story rating of spoiler and original version.

Part-6

Test statistic value is t=4.8997

Part-7

P-value=0.0005

Part-8

As p-value<0.005 ,we reject the null hypothesis and conclude that the story spoiled hurt the enjoyment.

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