Identify the sample statistics "n=54, X=49."
Find the point estimates
Verify that the sampling distribution of "\\hat{p}" can be approximated by the normal distribution
Find the critical value "z^*" that corresponds to the given level of significance
The 95% confidence interval is given below:
"0.9074\\pm 1.96\\sqrt{{0.9074(1-0.9074) \\over 54}}"
"0.9074\\pm 0.0773"
"(0.8301,0.9847)"
"Low: 0.8301"
"High: 0.9847"
Therefore, the 95% confidence interval for the percentage of all patients satisfied with their care at the hospital is
We are "95\\%" confident that the percentage of all patients satisfied with their care at the hospital is between "83.01\\%"
and "98.47\\%"
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