Respuesta :
Zc at 94% confidence level
Step 1: α = 100 -94 = 6% = 0.06
Step 2: α/2 = 0.06/2 = 0.003
Step 3: 1-α/2 = 1-0.003 = 0.97
From Z-tables and at proportion of 0.97 (area under curve),
Zc ≈ 1.88
Step 1: α = 100 -94 = 6% = 0.06
Step 2: α/2 = 0.06/2 = 0.003
Step 3: 1-α/2 = 1-0.003 = 0.97
From Z-tables and at proportion of 0.97 (area under curve),
Zc ≈ 1.88
The critical value that corresponds to a 94% confidence level is 1.88
The confidence level is given as:
CL = 94%
Express as percentage
CL = 0.94
Calculate the significance level
α = 1 -0.94
α = 0.06
Divide by 2
α/2 = 0.06/2
α/2 = 0.03
Subtract from 1
1-α/2 = 1-0.03
1-α/2 = 0.97
The above represents the proportion (p).
So, we have:
p = 0.97
Using the z table,
The critical value at a proportion of 0.97 is approximately 1.88
Hence, the critical value that corresponds to a 94% confidence level is 1.88
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