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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

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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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