Q49 · Practice questionTechnology-activeComplex unfamiliar4 marks
QUESTION 49 (4 marks)
A poll of 600 randomly selected people records a sample proportion of supporting a proposal. Assuming the true population proportion is , use a normal approximation to determine the probability of obtaining a sample proportion of at least .
WORKED SOLUTION
4 marksPractice marking scheme
ANSWER
.
Worked solution
Under , . The observed z-score is . Hence .
Determines the standard deviation of .
Standardises .
Uses the upper-tail normal probability.
Determines the probability approximately .
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
View the QCAA syllabusHow many marks did you earn?
Compare your working with the guide above.