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= 255	x2= 265
n1= 444	n2= 444

a.Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.)

b.Find thep-value. multiple choice 1

• 0.025p-value < 0.05
• 0.05p-value < 0.10
• p-value0.10
• p-value < 0.01
• 0.01p-value < 0.025

c.At the 10% significance level, what is the conclusion to the test? multiple choice 2

• Do not rejectH₀since thep-value is greater than significance level.
• RejectH₀since thep-value is greater than significance level.
• Do not rejectH₀since thep-value is less than significance level.
• RejectH₀since thep-value is less than significance level.

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

• We cannot conclude that the population proportions differ.
• We conclude that the population proportions differ.
• We cannot conclude that population proportion 2 is greater than population proportion 1.
• We conclude that population proportion 2 is greater than population proportion 1.

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= 255	x2= 265
n1= 444	n2= 444

a.Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.)

b.Find thep-value. multiple choice 1

• 0.025p-value < 0.05
• 0.05p-value < 0.10
• p-value0.10
• p-value < 0.01
• 0.01p-value < 0.025

c.At the 10% significance level, what is the conclusion to the test? multiple choice 2

• Do not rejectH₀since thep-value is greater than significance level.
• RejectH₀since thep-value is greater than significance level.
• Do not rejectH₀since thep-value is less than significance level.
• RejectH₀since thep-value is less than significance level.

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

• We cannot conclude that the population proportions differ.
• We conclude that the population proportions differ.
• We cannot conclude that population proportion 2 is greater than population proportion 1.
• We conclude that population proportion 2 is greater than population proportion 1.