A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98%
1 answer:
Answer:
98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is 0.373±0.065, that is between 0.308 and 0.438
Step-by-step explanation:
Confidence Interval can be calculated using p±ME where
- p is the sample proportion of 300 union members in New York State who favor the Republican candidate (
)
- ME is the margin of error from the mean
and margin of error (ME) around the mean can be found using the formula
ME= where
- z is the corresponding statistic in 98% confidence level (2.33)
- p is the sample proportion (
- N is the sample size (300)
Then ME=[tex]\frac{2.33*\sqrt{0.373*0.627}}{\sqrt{300} }[/tex≈0.065
98% confidence interval is 0.373±0.065
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