The percent of hospitals in Region 3 of the northwestern United States that reached maximum occupancy at least once in January 2015 was 82%. The regional administration wants to conduct a study to determine if the rate has changed. Before conducting the study, she assumes that the average rate is still 82%. She calls a sample of 20 hospitals in the region and finds that 14 of the 20 reached maximum occupancy at least once during the most recent January. Conduct a hypothesis test at the 95% confidence level to determine if there is statistical evidence to suggest that the proportion of hospitals who reach maximum occupancy at least once per January in region has changed and is no longer 82%. Use this information to answer questions 1-4.

 

Our null hypothesis is p= 0.82 and our alternate hypothesis is p<0.82.

So because we have 14 out of 20 hospitals that reached maximum occupancy, we plug that in as 14/20 = 0.7.

 

1.     Identify the correct critical value, Z_α/2. Our alpha level of Z, or the critical value is 1.645. (10%)

2.     Calculate the test statistic, Z_test. (10%)

3.     Calculate P(Z > |Z_test|). (10%)

4.     Compare the test statistic to the critical value. Compare P(Z> |Z_test|) to α. Is there statistical evidence to suggest that the hospital max occupancy rate is less that the rate was in 2015? (15%)

 

 

I need some help, can someone walk me through this?

AccountingQueen

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Status NEW Posted 13 Aug 2017 01:08 PM My Price 8.00

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