Do different types of hospitals have different practices when completing death certificates? A health official and her team compare the results of 24883 randomly selected autopsies to the causes of death listed on the certificates. Death certificates in the study came from three types of hospitals, public; private, for profit; and university hospitals. Of the 24883 death certificates evaluated, 6785 were confirmed to be accurate, 8140 contained errors but did not require recoding of the underlying cause of death, and 9958 were incorrect and required recoding. Data are shown as a 3×3 contingency table.   Confirmed accurate Inaccurate, no change needed Incorrect, recoding needed All   Public 997 1206 1493 3696 Private 2213 2670 3232 8115 University 3575 4264 5233 13072 All 6785 8140 9958 24883   The health official uses a chi‑square test of independence to evaluate her null and alternative hypotheses.   ?0:There is no association between hospital type and death certificate status.?1:There is an association between hospital type and death certificate status. The value of her chi‑square test statistic ?2 is 0.484 with four degrees of freedom. Complete the analysis by computing the ?-value of the official’s test and then decide whether she should reject her null hypothesis when the significance level is ?=0.01. Compute the ?-value of the official’s test using software. Report your results to three decimal places. ?-value=     Should the health official reject her null hypothesis if her significance level is ?=0.01? Yes. Since the ?-value of the test is less than the stated alpha level of 0.01, there is sufficient evidence to reject the null hypothesis that hospital type and death certificate status are unassociated. No. Since the ?-value of the test is greater than the stated alpha level of 0.01, there is insufficient evidence to reject the null hypothesis that hospital type and death certificate status are unassociated. No. Since the ?-value of the test is less than the stated alpha level of 0.01, there is insufficient evidence to reject the null hypothesis that hospital type and death certificate status are unassociated. Yes. Since the ?-value of the test is greater than the stated alpha level of 0.01, there is sufficient evidence to reject the null hypothesis that hospital type and death certificate status are unassociated.

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Do different types of hospitals have different practices when completing death certificates?

A health official and her team compare the results of 24883 randomly selected autopsies to the causes of death listed on the certificates. Death certificates in the study came from three types of hospitals, public; private, for profit; and university hospitals. Of the 24883 death certificates evaluated, 6785 were confirmed to be accurate, 8140 contained errors but did not require recoding of the underlying cause of death, and 9958 were incorrect and required recoding.

Data are shown as a 3×3 contingency table.

  Confirmed accurate Inaccurate, no change needed Incorrect, recoding needed All
 
Public 997 1206 1493 3696
Private 2213 2670 3232 8115
University 3575 4264 5233 13072
All 6785 8140 9958 24883

 

The health official uses a chi‑square test of independence to evaluate her null and alternative hypotheses.

 

?0:There is no association between hospital type and death certificate status.?1:There is an association between hospital type and death certificate status.

The value of her chi‑square test statistic ?2 is 0.484 with four degrees of freedom.

Complete the analysis by computing the ?-value of the official’s test and then decide whether she should reject her null hypothesis when the significance level is ?=0.01.

Compute the ?-value of the official’s test using software. Report your results to three decimal places.

?-value=
 
 
Should the health official reject her null hypothesis if her significance level is ?=0.01?
Yes. Since the ?-value of the test is less than the stated alpha level of 0.01, there is sufficient evidence to reject the null hypothesis that hospital type and death certificate status are unassociated.
No. Since the ?-value of the test is greater than the stated alpha level of 0.01, there is insufficient evidence to reject the null hypothesis that hospital type and death certificate status are unassociated.
No. Since the ?-value of the test is less than the stated alpha level of 0.01, there is insufficient evidence to reject the null hypothesis that hospital type and death certificate status are unassociated.
Yes. Since the ?-value of the test is greater than the stated alpha level of 0.01, there is sufficient evidence to reject the null hypothesis that hospital type and death certificate status are unassociated.
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