Minnesota Public Radio wants to duplicate a survey conducted in 2016 that found that 65% of adults living in Minnesota felt that the country was going in the wrong direction. How many people would need to be surveyed for a 90% confidence interval to ensure the margin of error would be less than 3%? (You must show the formula and your algebraic work to receive credit for this problem.)

The number of people needed  is  

Step-by-step explanation:

From the question we are told that

  The population proportion is  

   The margin of error is  

From the question we are told the confidence level is  90% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the sample size is mathematically represented as

=>    

=>      

x

step-by-step explanation: