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2 answers:
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We have:
z-score = 2.58
Proportion, p = 0.23
q = 1 - 0.23 = 0.77
Margin of error, E = 17% = 0.17
Step 1:
Multiply
by 
= 0.23 × 0.77 = 0.1771
Step 2:
Divide z-score by the margin error = 2.58 ÷ 0.17 = 15.2
Step 3:
Square the answer from step 2 = 15.2² = 230.32
Step 4:
Multiply the answer from Step 1 by the answer in step 3
= 0.1771 × 230.32 = 40.79
The answer is the sample size is 40.79 rounded to 41
Answer: Last Option
z-score = 2.58
Proportion, p = 0.23
q = 1 - 0.23 = 0.77
Margin of error, E = 17% = 0.17
Step 1:
Multiply
Step 2:
Divide z-score by the margin error = 2.58 ÷ 0.17 = 15.2
Step 3:
Square the answer from step 2 = 15.2² = 230.32
Step 4:
Multiply the answer from Step 1 by the answer in step 3
= 0.1771 × 230.32 = 40.79
The answer is the sample size is 40.79 rounded to 41
Answer: Last Option