For this study, we should use Select an answer z-test for a population proportion t-test for a population mean  The null and alternative hypotheses would be:       H0:H0:  ? p μ  Select an answer = > ≠ <        H1:H1:  ? p μ  Select an answer = ≠ > <    The test statistic ? z t  = (please show your answer to 2 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ >  αα Based on this, we should Select an answer accept reject fail to reject  the null hypothesis.

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Nationally, patients who go to the emergency room wait an average of 6 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 12 randomly selected patients who went to the emergency room at rural hospitals waited an average of 4.7 hours to be admitted into the hospital. The standard deviation for these 12 patients was 2.3 hours. What can be concluded at the the αα = 0.01 level of significance level of significance?

  1. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean 
  2. The null and alternative hypotheses would be:     

 H0:H0:  ? p μ  Select an answer = > ≠ <      

 H1:H1:  ? p μ  Select an answer = ≠ > <   

  1. The test statistic ? z t  = (please show your answer to 2 decimal places.)
  2. The p-value = (Please show your answer to 4 decimal places.)
  3. The p-value is ? ≤ >  αα
  4. Based on this, we should Select an answer accept reject fail to reject  the null hypothesis.
Expert Solution
Step 1

1.

The 12 randomly selected patients who went to the emergency room at rural hospitals waited an average of 4.7 hours to be admitted into the hospital and standard deviation is 2.3. That is, n=12,x¯=4.7,s=2.3.

The sample size is less than 30 and the population standard deviation is unknown indicates that the t-test for a population mean is used.

Thus, for this study we should use t-test for a population mean.

2.

Let μ denotes the population mean of waiting time.

The claim of the test is the patients at rural hospitals have a lower waiting time. The population mean is 6 hours.

The hypothesis is,

Null hypothesis:

H0:μ=6

Alternative hypothesis:

H1:μ<6

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