You read a study about a new intervention designed to increase the number of pos

Question

You read a study about a new intervention designed to increase the number of positive interactions parents have with their children The author makes the following claim: "Our data indicates our intervention has a dramatic impact on the number of positive daily interactions parents have with their children. On average, parents had 3 more positive daily interactions with their children after our intervention than before." Review the raw data (on the right and downloadable as an excel file on the course page) and evaluate the author's claim. How true is her claim? Explain your response.

Explanation / Answer

We shall perform hypothesis testing for mean

Null Hypothesis

Ho:mean=3

Alternative Hypothesis

H1:mean>=3

t test one tail as sample size =n=8

alpha=0.05

Test statistic

t=sample mean-hypothesized value/sample stddev/sqrt(n)

find sample mean and sample stddev form excel

sample mean=3

sample stddev=3.422614

sample size=n=8

t=3-3/3.44614/sqrt(8)

t =0

Degrees of freedom=n-1=8-1=7

The P-Value is .5.

The result is not significant at p < .05.

Decison:

as p>0.05

Fail to reject Null hypthesis

Accept Null Hypothesis

Conclusion:

There is no sufficient statistical evidence at 5% level of significance to support the claim that on average,parents had 3 or more positive daily interactions with their children after our intervention than before.

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