Question

In: Statistics and Probability

A random sample of 350 voters from Delaware finds that 105 of them intend to vote...

A random sample of 350 voters from Delaware finds that 105 of them intend to vote for Bill McNeely in an upcoming election for Governor. Construct a 96% confidence interval for the population proportion of voters who intend to vote for Bill McNeely. Enter the lower and upper bounds for the interval in the following boxes, respectively. You may answer using decimals rounded to four places or a percentage rounded to two. Make sure to use a percent sign if you answer using a percentage.

Expert Solution

Solution :

Given that,

Point estimate = sample proportion = = x / n = 105 / 350 = 0.3

1 - = 0.7

Z/2 = 2.054

Margin of error = E = Z / 2 * $\sqrt$ [ * (1 - ) / n]

= 2.054 * $\sqrt$ [(0.3 * 0.7) / 350]

= 0.050

A 96% confidence interval for population proportion p is ,

- E < p < + E

0.3 - 0.050 < p < 0.3 + 0.050

0.2500 < p < 0.3500

Lower bound = 0.2500

Upper bound = 0.3500

orchestra answered 2 years ago

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