question 1

Consider the following data drawn independently from normally distributed populations: (You may find it useful to reference the appropriate table: z table or t table)

x1x1 = 32.6	x2x2 = 27.8
12 = 89.5	22 = 93.4
n1 = 25	n2 = 22

a. Construct the 90% confidence interval for the difference between the population means. (Negative value should be indicated by a minus sign. Round final answers to 2 decimal places.) b. Specify the competing hypotheses in order to determine whether or not the population means differ. multiple choice 1

(a)H₀: _{1 2} = 0; H_A: _{1 2} 0

(b)H₀: _{1 2} 0; H_A: _{1 2} < 0

(c)H₀: _{1 2} 0; H_A: _{1 2} > 0

c. Using the confidence interval from part a, can you reject the null hypothesis? multiple choice 2

(a) No, since the confidence interval includes the hypothesized value of 0.

(b)Yes, since the confidence interval does not include the hypothesized value of 0.

(c)Yes, since the confidence interval includes the hypothesized value of 0.

(d)No, since the confidence interval does not include the hypothesized value of 0.

d. Interpret the results at = 0.10. multiple choice 3

(a)We cannot conclude that the population means differ.

(b) We conclude that the population means differ.

(c)We cannot conclude that population mean 2 is greater than population mean 1.

(d)We conclude that population mean 2 is greater than population mean 1.

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question 2

Consider the following competing hypotheses and accompanying sample data.(You may find it useful to reference the appropriate table:ztableorttable) H₀:p₁p₂ 0 H_A:p₁p₂< 0

x1= 236	x2= 254
n1= 387	n2= 387

a.Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.) test statistic = b.Find thep-value. multiple choice 1

(a) 0.01 p-value < 0.025

(b)0.025 p-value < 0.05

(c) 0.05 p-value < 0.10

(d) p-value 0.10

(e) p-value < 0.01

c.At the 5% significance level, what is the conclusion to the test? multiple choice 2

(a) Do not rejectH₀since thep-value is greater than significance level.

(b) RejectH₀since thep-value is greater than significance level.

(c) Do not rejectH₀since thep-value is less than significance level.

(d) RejectH₀since thep-value is less than significance level.

d.Interpret the results at= 0.05. multiple choice 3

(a) We cannot conclude that the population proportions differ.

(b) We conclude that the population proportions differ.

(c) We cannot conclude that population proportion 2 is greater than population proportion 1.

(d) We conclude that population proportion 2 is greater than population proportion 1.

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question 3

Consider the following competing hypotheses and accompanying sample data.(You may find it useful to reference the appropriate table:ztableorttable) H₀:p₁p₂=0.04 H_A:p₁p₂0.04

x1= 125	x2= 143
n1= 271	n2= 446

a.Calculate the value of the test statistic.(Round final answer to 2 decimal places.) test statistic = b.Find thep-value. multiple choice 1

(a)0.025 p-value < 0.05

(B)0.05 p-value < 0.10

(c)p-value 0.10

(d)p-value < 0.01

(e)0.01 p-value < 0.025

c.At the 1% significance level, what is the conclusion? multiple choice 2

(a)Do not rejectH₀; the difference between population proportions differs from 0.04.

(b)RejectH₀; the difference between population proportions does not differ from 0.04.

(c)Do not rejectH₀; the difference between population proportions does not differ from 0.04.

(d)RejectH₀; the difference between population proportions differs from 0.04.