QUESTION 1 A 95% confidence interval for a proportion is (0.62, 0.88). From this we can infer: O The population proportion is 0.75 O The population proportion is equal to the sample proportion O The population proportion is between 0.62 and 0.88 O The population proportion is likely to be between 0.62 and 0.88QUESTION 2 A hypothesis test for independence has produced a randomisation distribution with the quantiles in the below table. If the test statistic is 99 and alpha = 0.05, what is the outcome of the test? Value 30.000 35.00 40.00 50.00 90.00 uantile 0.010 0.025 0.050 0.100 0.900 0.950 95.00 0.975 100.000 0.990 110.000 0 E :l j j j j j j Z O Reject the Alternative Hypothesis 0 Accept the Alternative Hypothesis 0 Accept the Null Hypothesis 0 Reject the Null Hypothesis 0 Do not reject the Alternative Hypothesis 0 Do not reject the Null Hypothesis QUESTION 3 What percent of the distribution must be removed from each tail for a 99% confidence interval? 05% O 2.5% O 1% O 0.5% Using the Facebook data, we obtained the count of the individual people who has liked our page at a particular week, as shown below. Age Group 13-17 18-24 25-34 45-54 Female 5 15 30 15 Gender Male 5 10 20 0 Determine the proportion of the "Age Group 1317" that have liked the page