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a) The relevant 95% Confidence Interval is (0.517099, 0.600548). Does this mean that the proportion of...

a) The relevant 95% Confidence Interval is (0.517099, 0.600548). Does this mean that the proportion of students identifying as female in SDA is significantly different to … i) the proportion of undergraduate students identifying as female in UTS overall, which is 0.505

ii) the proportion of undergraduate students identifying as female at all Australian Universities which is 0.557

Math   Statistics-And-Probability   
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Answer #1

i) Yes, the proportion  of undergraduate students identifying as female in UTS overall is significantly different from population at 5% significance level.

Because 0.505 is less than the lower limit of 95% Confidence Interval.

ii)

No, the proportion  of undergraduate students identifying as female in Australian Universities is not significantly different from population at 5% significance level.

Because 0.557 is within the 95% Confidence Interval.

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