Q 3.19: In 2011 and 2015, the study was held to determine the proportion of people who read books. 948 people of 1200 said they read at least one book in the last 3 months in 2011. 1080 people of 1500 said they read at least one book in the last 3 months in 2015. Find the 95% confidence interval for the difference in proportions.

And the 95% confidence interval for the difference of the two proportions is given by:

Step-by-step explanation:

For this case we have the following info given:

number of people that they read at least one book in the last 3 months in 2011

the sample size selected for 2011

number of people that they read at least one book in the last 3 months in 2015

the sample size selected for 2015

The estimated proportions people that they read at least one book in the last 3 months for each year are given by:

And the confidence interval for the true difference of proportions is given by:

The confidence level is 95% so then the significance is 0.05 or 5% and and the critical value for this case using the normal standard distribution is:

And replacing into the confidence interval formula we got:

And the 95% confidence interval for the difference of the two proportions is given by:

10000000000000000000000000000000

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