The pew research center internet project conducted a survey of 957 internet users. this survey provided a variety of statistics on them. if required, round your answers to four decimal places. (a) the sample survey showed that 90% of respondents said the internet has been a good thing for them personally. develop a 95% confidence interval for the proportion of respondents who say the internet has been a good thing for them personally.

(0.881, 0.919)

Step-by-step explanation:

Let p be the population proportion of respondents who say the Internet has been a good thing for them personally.

Confidence interval for population proportion is given by :-

, where z* = Critical value ,

= Sample proportion

n = sample size.

As per given , we have

n= 957

By z-table , Critical value for 95% confidence interval : z*= 1.96

Then, the 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally. will be :

Hence, the required 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally = (0.881, 0.919)