2. We test if the proportion of females among AUM students is not 1/2. We collected a sample with sample size 25 and having 20 females. Perform the test with a significance level a = 0.01. (a) State the null and alternative hypothesis and find the test statistic. (b) Find the critical value for the test and conclude. (c) Find the p-value and conclude. (d) Find a 99% confidence interval and conclude.

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2. We test if the proportion of females among AUM students is not 1/2. We collected a
sample with sample size 25 and having 20 females. Perform the test with a significance
level a = 0.01.
(a) State the null and alternative hypothesis and find the test statistic.
(b) Find the critical value for the test and conclude.
(c) Find the p-value and conclude.
(d) Find a 99% confidence interval and conclude.
Transcribed Image Text:2. We test if the proportion of females among AUM students is not 1/2. We collected a sample with sample size 25 and having 20 females. Perform the test with a significance level a = 0.01. (a) State the null and alternative hypothesis and find the test statistic. (b) Find the critical value for the test and conclude. (c) Find the p-value and conclude. (d) Find a 99% confidence interval and conclude.
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