Suppose a hospital would like to estimate the proportion of patients who feel that physicians who care for them always communicated effectively when discussing their medical care. A pilot sample of 100 patients found that 70 reported that their physician communicated effectively. Determine the additional number of patients that need to be sampled to construct a 90% confidence interval with a margin of error equal to 1% to estimate this proportion.
Added by Abigail C.
Step 1
70), \( Z \) is the critical value for a 90% confidence interval (1.645), and \( E \) is the margin of error (0.01). Substitute the values into the formula: \( n = 0.70(1-0.70)(\frac{1.645}{0.01})^2 \) \( n = 0.21(164.5)^2 \) \( n = 0.21(27060.25) \) \( n = Show more…
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