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Calculate chi square for these two situations, which is morelikely to be \"hones

ID: 2955128 • Letter: C

Question

Calculate chi square for these two situations, which is morelikely to be "honest" A. you toss coins 6 times and lose each time B. you toss coins 60 times and win 10 times (P.S for the formula I know it is (O-E)^2/E but I am not surewhich each value is) thank you! Calculate chi square for these two situations, which is morelikely to be "honest" A. you toss coins 6 times and lose each time B. you toss coins 60 times and win 10 times (P.S for the formula I know it is (O-E)^2/E but I am not surewhich each value is) thank you!

Explanation / Answer

Probability

Observed

Expected

Lose: 0.5

6

0.5 * 6 = 3

Win: 0.5

0

0.5 * 6 = 3

1.0

6

6

Find the expected frequencies.

Expected = Probability * Total

Total = 6

[(Obs – Exp)2/Exp]

    = (6 – 3)2/3 +(0 –3)2/3 = 6

df = # of categories – 1

    = 2 – 1 = 1

p-value= 0.014

Probability

Observed

Expected

Lose: 0.5

10

0.5 * 60 = 30

Win: 0.5

50

0.5 * 60 = 30

1.0

60

60

Find the expected frequencies.

Expected = Probability * Total

Total = 60

[(Obs – Exp)2/Exp]

    = (10 – 30)2/30 +(50 –30)2/30 = 26.7

df = # of categories – 1

    = 2 – 1 = 1

p-value = 0.00000024 =2.4*10-7

Probability

Observed

Expected

Lose: 0.5

6

0.5 * 6 = 3

Win: 0.5

0

0.5 * 6 = 3

1.0

6

6

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