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Answer:
For the first question the sample size is n= 3850
And replacing we got:
We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.
Step-by-step explanation:
We have the following info given:
represent the estimated proportion of all people who like the movie
represent the sample size selected
For the first question the sample size is n= 3850
For the second part they gives to us the margin of error:
We know that the confidence interval for a population proportion of interest is given by:
And the margin of error is given by:
So then the confidence interval can be found with this formula:
And replacing we got:
We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.