Question

In: Statistics and Probability

Out of a random sample of 355 freshman at State University, 192 students have declared a...

Out of a random sample of 355 freshman at State University, 192 students have declared a major. Find a 96% confidence interval for the true population proportion of freshman at State University who have declared a major.

Find the left endpoint of the confidence interval .

Round to three decimal places

Solutions

Expert Solution

Here in this scenario it is given that the random sample of 355 freshman at State University, 192 students have declared a major.

Based on given sample information we have to calculate the 96% Confidence Interval for population proportion. So to compute the Confidence Interval we need to use z test for population proportion.

Further the confidence Interval for population proportion is calculated using z distribution as below,

The z critical value is calculated using Standerd normal z-table or using Excel.

Therefore, based on the data provided, the 96% confidence interval for the population proportion is 0.487<p<0.595.

which indicates that we are 96% confident that the true population proportion pp is contained by the interval (0.487, 0.595).

The left endpoint of Confidence Interval is 0.487.

Thank you.

orchestra answered 1 year ago
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