Respuesta :
Answer: b. Yes
Step-by-step explanation: Confidence Interval for a population proportion is calculated as:
p ± [tex]z\sqrt{\frac{p(1-p)}{n} }[/tex]
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:
[tex]p=\frac{152}{468}[/tex]
p = 0.3248
0.3248 ± [tex]1.96\sqrt{\frac{0.3248(0.6752)}{468} }[/tex]
0.3248 ± [tex]1.96\sqrt{0.000468}[/tex]
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.
