MATTHEW HAS A BAG OF 100 PIECES OF CANDY. HE NEEDS TO SPLIT THE BAG BETWEEN HIS CLASSMATES IN HIS AM AND PM CLASS. HE HAS 20 STU
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Answer: b. Yes
Step-by-step explanation: Confidence Interval for a population proportion is calculated as:
p ±
where
p is the sample proportion
n is sample size
z is z-score, in this case, as it is 95%, z-score=1.96
Calculating confidence interval:
p = 0.3248
0.3248 ±
0.3248 ±
0.3248 ± 0.0425
Interval: 0.2823 < μ < 0.3673
The interval means we are 95% sure the true mean is between 0.2823 and 0.3673. As the campaign claims a proportion of no more than 0.32 of the voters wants to see Mayor Waffleskate defeated and the number is in the confidence interval, the claim is supported.