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2.4.114 the ignorance survey: united kingd
e ignorance survey: united kingdom. exercise 4.113 refers to a survey used to assess the
ignorance of the public to globa population trends. a similar survey was conducted in the uni
kingdom, where respondents were asked if they had a university degree. one question asked,
the last 20 years the proportion of the world population living in extreme poverty has " and three
choices were provided: 1) "increased 2) "remained more or less the same," and 3) "decreased." of
373 university degree holders, 45 responded with the correct decreased; of 639 non-degree
respondents, 57 responded with the correct answer. we would like to test if the percent of correct
answers is significantly different between degree holders and non-degree holders.
a. define the parameter(s), using appropriate notation.
survey used to assess the ignorance of the public
to global population thends.
b. write the null and alternative hypotheses in terms of the parameter(s) above, using words and
symbols.
c. use statkey to find the value of the relevant sample statistic.
write it using correct notation.
d. using statkey, construct a randomization distribution and compute the p-value.
include a screenshot of the randomization dotplot with tail area(s) with your quiz
submission, and write the p-value here.
p-value =
e. at the a=0.1 level, what is the formal statistical decision of this test (reject / fail to reject
f. write a statistical significance conclusion for the test in context.