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 50patients found that 34 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 6​%to estimate this proportion.   The additional number of patients that need to be sampled is   ​(Round up to the nearest​ integer.)

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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 50patients found that 34 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 6​%to estimate this proportion.
 
The additional number of patients that need to be sampled is
 
​(Round up to the nearest​ integer.)
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