Do you believe in the Bible? Refer to the National Opinion Research Center’s General Social Survey (GSS), presented in Exercise. Data on the approximately 2,800 Americans who participated in the 2004 GSS are saved in the BIBLE file. Recall that one question in the survey asked about a person’s belief in the Bible. Suppose you want to estimate the proportion of all Americans who believe that the Bible is the actual word of God and is to be taken literally. ( Note: The variable “Bible1” contains the responses to this question.)
a. Use a 95% confidence interval to estimate the proportion of interest.
b. Give a practical interpretation of the interval you used in part a.
c. Discuss how the survey methodology can affect the validity of the results.
Do you believe in the Bible? In its annual General Social Survey (GSS), the National Opinion Research Center (NORC) elicits the opinions of Americans on a wide variety of social topics. One question in the survey asked about a person’s belief in the Bible. Data for the approximately 2,800 Americans who participated in the 2004 GSS are saved in the BIBLE file. Each respondent selected from one of the following answers: (1) The Bible is the actual word of God and is to be taken literally; (2) the Bible is the inspired word of God, but not everything is to be taken literally; (3) the Bible is an ancient book of fables; and (4) the Bible has some other origin, but is recorded by men. The variable “Bible1” contains the responses.
(Note: A response value of 8 represents “Don’t Know”; a value of 9 represents a missing value.)
a. Summarize the responses to the Bible question in the form of a relative frequency table.
b. Summarize the responses to the Bible question in a pie chart.
c. Write a few sentences that give a practical interpretation of the results shown in the summary table and graph.
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