# i take a srs of 300 dog owners and ask if they can identify a welsh corgi from a list of dog pictures. of the 300 surveyed 75 corr

i take a srs of 300 dog owners and ask if they can identify a welsh corgi from a list of dog pictures. of the 300 surveyed 75 correctly identify the corgi. estimate the 95% confidence interval for the population proportion.

### 1 thought on “i take a srs of 300 dog owners and ask if they can identify a welsh corgi from a list of dog pictures. of the 300 surveyed 75 corr”

1. Tryphena
The population proportion at the 300 people polled, 75 of them correctly identified the corgi, has a 95% confidence interval of [0.20,0.30].

### What is confidence interval?

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate’s level of uncertainty is described by a confidence interval, which is a range of values.
Here,
t-value of 95% confidence interval= 1.967
x/17=75/300
x=0.25
=p ± t√(p(1-p)/n)
=0.25±1.96(0.025)
=0.25±0.049
=[0.20,0.30]
The 95% confidence interval for the population proportion at the 300 surveyed 75 correctly identify the corgi will be [0.20,0.30].
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