#3,#4please pick problem if you have a scientific calculator and can solve both

Question

#3,#4please pick problem if you have a scientific calculator and can solve both problem thank you very much

#3/36) Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 37 of the 42 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 97 of the 111 subjects developed rhinovirus infections. null hypothesis Ho:p1=p2 Ho:p1#p2 what is the test statistics z=? what is the p-value? do we reject or fail to reject and why? construct a 99% confidence interval for p1-p2 ? Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections?

#4/36)Two different simple random samples are drawn from two different populations. The first samle consists of 2020 people with 1010 having a common attribute. The second sample consists of 1800 people with 1279 of them having the same common attribute. what is the critical value z=? what is the p-value? do we reject or fail to reject and why? construct a hypothesis test of p1=p 2p2 (with a 0.01 significance level)

Explanation / Answer

3)

Alternative Hypothesis: p1 not = p2

Pooled proportion: 0.875817
Test Statistic, z: 0.1185
Critical z: ±2.5758
P-Value: 0.9057

99% Confidence interval:
-0.1450914 < p1-p2 < 0.1592484

p vaue> alpha

failed to reject null hypothesis.

4)

Alternative Hypothesis: p1 not = p2

Pooled proportion: 0.5992147
Test Statistic, z: -13.2556
Critical z: ±2.5758
P-Value: 0.0000

99% Confidence interval:
-0.2502953 < p1-p2 < -0.1708158

p < alpha

reject null hypothesis.

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