You want to test if a six-sided die is fair using observed rolls: [8, 9, 10, 11, 12, 10]. Which scipy.stats.chisquare call correctly tests this?

hard📝 Application Q9 of 15

SciPy - Curve Fitting and Regression

You want to test if a six-sided die is fair using observed rolls: [8, 9, 10, 11, 12, 10]. Which scipy.stats.chisquare call correctly tests this?

Achisquare(f_obs=[8,9,10,11,12,10], f_exp=[0,0,0,0,0,0])

Bchisquare(f_obs=[8,9,10,11,12,10], f_exp=[10,10,10,10,10,11])

Cchisquare(f_obs=[8,9,10,11,12,10], f_exp=[1,1,1,1,1,1])

Dchisquare(f_obs=[8,9,10,11,12,10])

Step-by-Step Solution

Solution:

Step 1: Understand default expected frequencies
If f_exp is not provided, chisquare assumes equal expected frequencies proportional to sum of observed counts (here total=60, so 10 each).
Step 2: Check options
chisquare(f_obs=[8,9,10,11,12,10]) uses default equal expected (10 each), correct for fair die.
Step 3: Analyze other options
The option with f_exp=[10,10,10,10,10,11] sums to 61 ≠60, incorrect. The one with [1,1,1,1,1,1] sums too low, and the one with zeros is invalid.
Final Answer:
chisquare(f_obs=[8,9,10,11,12,10]) -> Option D
Quick Check:
Omitting f_exp tests equal expected frequencies automatically [OK]

Quick Trick: Omit f_exp to test equal expected frequencies automatically [OK]

Common Mistakes:

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