4. A bank randomly selected ( n=250 ) checking account customers and found that ( x=110 ) of them also had savings accounts at the same bank. a. Find the sample proportion of checking account customers also having savings accounts, ( hat{p} ). b. Find the standard error of the sample proportion, ( sigma_{hat{p}} ). c. Find a 95% confidence interval for the population proportion of checking account customers who also have savings accounts.
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Given \(x = 110\) and \(n = 250\), the formula for the sample proportion is: \[ \bar{p} = \frac{x}{n} \] \[ \bar{p} = \frac{110}{250} \] \[ \bar{p} = 0.44 \] So, the sample proportion of checking account customers also having savings accounts is 0.44. Show more…
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