Question

1. 4.114 The Ignorance Survey: United Kingdom. Exercise 4.113 refers to a survey used to assess
the ignorance of the public to global population trends. A similar survey was conducted in the
United Kingdom, where respondents were asked if they had a university degree. One question
asked, “In 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 answer:
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. Write the null and alternative hypotheses in terms of the parameter(s) above, using words
and symbols.

b. Use StatKey to find the value of the relevant sample statistic. _________________________
Write it using correct notation.
c. 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.

___________
d. At the a = 0.1 level, what is the formal statistical decision of this test (Reject / Fail to reject
Ho)?

__________________________________________________

e. Write a statistical significance conclusion for the test in context.

Answer 1