Question

1- You wish to test the following claim ( H 1 ) at a significance level of α = 0.10 .

H o : p 1 = p 2

H 1 : p 1 > p 2

You obtain 27.5% successes in a sample of size n 1 = 367 from the first population. You obtain 15.8% successes in a sample of size n 2 = 442 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

What is the critical value for this test? (Report answer accurate to three decimal places.)

critical value =

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic =

2-

You wish to test the following claim (H1) at a significance level of α=0.002

      Ho:μ1=μ2Ho
      H1:μ1>μ2H1:

You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data.

Sample #1	Sample #2
55.7 54.4 47.4 51.4 40.3 49.8 63 47.7 53.8 61.8 66.9 46.5 44 67.5 39.7 62.2 35.9 49.8 54.9 56.3 47.1 63.8 54.6 56.5 46.8	39.7 68.3 56.1 37.8 4.9 22 30 25.6 20.3 50.2 49.2 56.8 32.2

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

Answer 1

Problem 2 data not clear