If a survey of a movie shows that 50% of all people who like the movie, enjoyed the official movie soundtrack too. If a total of 3850 people were asked, find the data of the survey. What is the sample size? If the margin of error for this survey is 1.6%, what is the 95% confidence interval using only 1 decimal?

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.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

sadsdda

step-by-step explanation: