All patients admitted to a particular hospital can be released on the same day or kept overnight for observation. In a sample of 2550 patients, 1020 were kept overnight for observation a) What is the...

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Extracted text: All patients admitted to a particular hospital can be released on the same day or kept overnight for observation. In a sample of 2550 patients, 1020 were kept overnight for observation a) What is the point estimate p for the proportion of all patients kept overnight for observation? b) Construct a 99% confidence interval for the proportion of all patients kept overnight for [1] observation. [3]


Extracted text: A car company wants to know the monthly sales made in (S000), based on the brand of vehicle. The data collected was entered on a MINITAB spreadsheet for analysis. Exhibit II below was subsequently generated. 115 marks] Exhibit 2 Model Mean Median Tri.Mean Hyundai Toyota Std Dev S.E. Mean 23 109 135 107.64 1.34 27 165 124 143.65 9.5 ** a) Determine the values of * and ** [2] b) Give the unbiased point estimate for the average monthly earning from Hyundai Vehicles. [1] c) Give the unbiased point estimate for the variance of monthly earning from Hyundai Vehicles. [1] Assuming normality, construct and interpret a 90% confidence interval for the average monthly earning from Toyota Vehicles. e) You are required to test at the 5% level of significance the hypothesis that the average monthly earnings on Hyundai Vehicles is equal to $110,000 versus the alternative that it is different from $110,000. Complete the following: i. Give the null and alternative hypothesis of this test. [2] [1] [2] [1] [1] [1] ii. Determine the critical value(s) of this test. iii. Compute the value of the test statistic. iv. State the decision rule. v. Give your decision based on the available sample evidence. vi. Hence, state your conclusion.