A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents, 14% chose chocolate pie, and the margin of error was given as plus or minus4 percentage points. Describe what is meant by the statement that "the margin of error was given as plus or minus4 percentage points."

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

The margin of error is given by:

So then the confidence interval is given by:

So then the confidence interval would be given by (0.10,0.18)

The confidence level is not given but we can assume it as , and we can conclude at that the true population proportion of people who prefer chocolate is between 0.10 and 0.18

Step-by-step explanation:

Data given and notation  

n=1000 represent the random sample taken    

estimated proportion of interest

represent the significance level (no given, but is assumed)    

ME= 4% =0.04 represent the margin of error

p= population proportion

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Calculating the interval for the proportion

The confidence interval would be given by this formula  

The margin of error is given by:

So then the confidence interval is given by:

So then the confidence interval would be given by (0.10,0.18)

The confidence level is not given but we can assume it as , and we can conclude at that the true population proportion of people who prefer chocolate is between 0.10 and 0.18

1 and 0

step-by-step explanation: