Q316 · Practice questionTechnology-activeSimple familiar4 marks
QUESTION 316 (4 marks)
In a random sample of residents, support a pedestrian bridge. A councillor claims that more than half of all residents support it. Use .
a)[3 marks]
Construct a approximate confidence interval, with endpoints to three decimal places.
b)[1 mark]
Evaluate the councillor's claim using the interval.
WORKED SOLUTION
4 marksPractice marking scheme
ANSWER
a) . b) The entire interval is above , providing support for the claim at this confidence level.
Worked solution
a) . The interval is .
b) Its lower endpoint exceeds . This supports the claim but does not establish the population proportion with certainty.
Exact answers unless rounding is specified; equivalent forms accepted.
a) Determines the sample proportion.
a) Calculates the margin of error.
a) Gives both endpoints.
b) Relates the entire interval to 0.5.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
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