10.40 participants are trained to solve problems in a certain way then are asked

Question

10.40 participants are trained to solve problems in a certain way then are asked to solve an unfamiliar problem that requires fresh insight. Half of the participants were randomly assigned to receive electrical stimulation of the brain while the other half (control group) received sham stimulation as a placebo. The results are shown below Sham Electrical Total Solved Not Solved Total 20 20 24 40 16 12 a) State the hypotheses for testing whether or not the proportion of those solving the problem while receiving electrical stimulation is significantly higher than the proportion of those solving the problem while receiving the sham treatment. b) Define the parameters you used in the hypotheses. Describe how you would generate a single randomization sample in this situation, and identify (using appropriate notation) the sample statistic you would record for each sample c)

Explanation / Answer

a)

H0: Proportion of those solving while receiving electrical simulation is the same as proportion of those solving while receiving sham treatment

H1: Proportion of those solving while receiving electrical simulation is higher than proportion of those solving while receiving sham treatment

b)

Here, we would be using chi squared test to test if at all there is a relation between the variables.

c)

In this case, we would generate samples from the population and assign it to various groups. Also, we would use the chi-square as shown above.

Observed Solved Not Solved Total Sham 4 16 20 Electrical 12 8 20 Total 16 24 40 Expected Pass Fail Total Algebra 8 12 20 No algebra 8 12 20 Total 16 24 40 (O-E)^2/E Pass Fail Total Algebra 2 1.333333333 3.333333333 No algebra 2 1.333333333 3.333333333 Total 4 2.666666667 6.666666667

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