Perform a statistical test (t test) for the difference in proportions for the po

Question

Perform a statistical test (t test) for the difference in proportions for the policeman’s (player 1) choice (inspect or paperwork) in each game (don't think you need the last column). The entire spreadsheet was too large to fit.

Player Decision Steal Cost

1 inspect -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 paperwork -1 1 paperwork -1 1 paperwork -1 1 inspect -1 1 inspect -1 1 inspect -1 1 inspect -1 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 inspect -25 1 paperwork -25 1 inspect -25 1 inspect -25 1 inspect -25

Explanation / Answer

Answer:

Perform a statistical test (t test) for the difference in proportions for the policeman’s (player 1) choice (inspect or paperwork) in each game (don't think you need the last column). The entire spreadsheet was too large to fit.

Count

Percent

inspect

171

53.61

paperwork

148

46.39

N=

319

Z Test for Differences in Two Proportions used

Data

Hypothesized Difference

0

Level of Significance

0.05

Group 1

Number of Items of Interest

171

Sample Size

319

Group 2

Number of Items of Interest

148

Sample Size

319

Intermediate Calculations

Group 1 Proportion

0.5361

Group 2 Proportion

0.4639

Difference in Two Proportions

0.0721

Average Proportion

0.5000

Z Test Statistic

1.8212

Two-Tail Test

Lower Critical Value

-1.9600

Upper Critical Value

1.9600

p-Value

0.0686

Do not reject the null hypothesis

Table value of z at 0.05 level = 1.96

Rejection Region: Reject Ho if z < -1.96 or z > 1.96

Calculated z = 1.8212 , not in the rejection region

The null hypothesis is not rejected.

We conclude that there is no difference in proportions for the policeman’s (player 1) choice (inspect or paperwork).

Count

Percent

inspect

171

53.61

paperwork

148

46.39

N=

319

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