Question

Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common attribute. The second sample consists of 1800 people with 1283 of them having the same common attribute. Compare the results from a hypothesis test of p_{1 =}p₂ ​(with a 0.05 significance​ level) and a 95​% confidence interval estimate of p₁ - p₂

• What are the null and alternative hypotheses for the hypothesis​ test?
• Identify the test statistic.​(Round to two decimal places as​ needed.
• Identify the critical​ value(s).(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)
• What is the conclusion based on the hypothesis​ test? The test statistic is/is not in the critical​ region, so reject/ fail to reject the null hypothesis. There is/is not insufficient evidence to conclude that p₁ is not equal to p₂
• _{The 95% confidence interval?}
• Since 0 is included/not included in the​ interval, it indicates to reject/fail to reject
  the null hypothesis.

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Answer 1