Do you believe in the Bible? Refer to the General Social Survey (GSS) and the question pertaining to a person’s belief in the Bible, presented. Recall that approximately 2,800 Americans 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; or (4) the Bible has some other origin, but is recorded by men. The variable “Bible1” in the BIBLE file contains the responses.
a. Summarize the responses in a one-way table.
b. State the null and alternative hypotheses for testing whether the true proportions in each category are equal.
c. Find the expected number of responses in each answer category for the test mentioned in part b.
d. Compute the chi-square statistic for the test.
e. Give the appropriate conclusion for the test if α = .10.
f. A more realistic null hypothesis is that 30% of Americans believe that the Bible is the actual word of God; 50% believe that it is inspired by God, but not to be taken literally; 15% believe that it is an ancient book of fables; and 5% believe that the Bible has some other origin. Repeat parts b–e for this hypothesis.
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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