A simple random sample of college students was performed recently in which the students were asked to self identify as to whether they are binge drinkers or not. In a 1995 study it was found that about 44% of students were self identified as such and the researcher believed that this number has increased. In this study 7851 of the 17592 students interviewed self identified as binge drinkers. A 90% confidence interval of the estimated binge drinking rate is

The 90% confidence interval is  

Step-by-step explanation:

From the  question we are told that

  The sample  size is  

  The number of  binge  drinkers is  

Given that the  confidence level is  90%  then the level of significance is mathematically represented as

The critical value  of    from the normal distribution table  is  

The  sample  proportion is mathematically represented as

Generally the margin of error is mathematically represented as  

The  90%  confidence interval is mathematically represented as  

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step-by-step explanation: