QUESTION IMAGE
Question
the following graph represents the results of a survey, in which a random sample of adults was asked if they believed that divorce was morally wrong in general. complete parts (a) through (c) below. (a) what percent of the respondents believe divorce is morally acceptable? about $square$% of the respondents (round to the nearest whole number as needed.) (b) if there are 236 million adults in the country, how many believe that divorce is morally wrong? about $square$ million adults (round to the nearest million as needed.) (c) if a polling organization claimed that the results of the survey indicate that 10% of adults believe that divorce is acceptable in certain situations, would you say this statement is descriptive or inferential? why? the statement is $square$ because it $square$
Part (a)
Step1: Analyze the bar graph
From the bar graph for "Morally acceptable", the bar ends at 60 (looking at the percentage axis). So we take that value.
<No formula, just reading the graph>
Step2: Round (if needed)
60 is already a whole number, so no rounding needed.
<No formula>
Step1: Find the percentage for "Morally wrong"
From the bar graph, "Morally wrong" bar ends at 20 (percentage). So the percentage is 20% or 0.2 in decimal.
<No formula, reading the graph>
Step2: Calculate the number of adults
Total adults = 236 million. Number of adults who believe divorce is morally wrong = 236 million * 0.2.
$$236\times0.2 = 47.2$$
Step3: Round to nearest million
47.2 rounded to nearest million is 47.
<No formula, rounding 47.2>
The statement is inferential because it uses the results from a sample (the survey) to make a claim about the entire population of adults (not just the sample). Descriptive statistics summarize sample data, while inferential statistics generalize to a population. Here, the polling organization is inferring about all adults from the survey sample.
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