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You may need to use the appropriate appendix table or technology to answer this question. A research center project involved a survey of 845 internet users. It provided a variety of statistics on internet users. (a) The sample survey showed that \( 93 \% \) 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. (Round your answers to four decimal places.) to (b) The sample survey showed that \( 72 \% \) of internet users said the internet has generally strengthened their relationship with family and friends. Develop confidence interval for the proportion of respondents who say the internet has strengthened their relationship with family and friends. (Round your answers to four decimal places.) to solve a problem. (Round your answers to four decimal places.) to (d) Compare the margin of error for the interval estimates in parts (a), (b), and (c). How is the margin of error related to the sample proportion \( \bar{p} \) ? The margin of error increases as \( \bar{p} \) gets closer to \( 0.50 \). The margin of error decreases as \( \bar{p} \) gets closer to \( 0.50 \). The margin of error does not change as \( \bar{p} \) gets closer to \( 0.50 \).

Values: n= 845 Confidence level = 95% Alpha= 1-95/100 = 0.05 [Using z table with 1.9 in first column and 0.06 in top row corresponding to the alpha/ 2