Question

# Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference...

Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or t table)

H0: p1p2 ≥ 0
HA: p1p2 < 0

 x1 = 250 x2 = 275 n1 = 400 n2 = 400

a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

b. Find the p-value.

• p-value < 0.01

• 0.01 ≤ p-value < 0.025

• 0.025 ≤ p-value < 0.05

• 0.05 ≤ p-value < 0.10

• p-value ≥ 0.10

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

• Reject H0 since the p-value is less than significance level.

• Reject H0 since the p-value is greater than significance level.

• Do not reject H0 since the p-value is less than significance level.

• Do not reject H0 since the p-value is greater than significance level.

d. Interpret the results at αα = 0.05.

• We conclude that the population proportions differ.

• We cannot conclude that the population proportions differ.

• We conclude that population proportion 2 is greater than population proportion 1.

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

rev: 01_22_2019_QC_CS-154677

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Question8of8Total8 of

The estimate of the sample proportion is ,

The pooled estimate is ,

The null and alternative hypothesis is ,

a.The test statistic is ,

b. The p-value is ,

p-value= ; From standard normal distribution table

0.025 < p-value < 0.05

c.

Reject Ho , since the p-value is less than significance level 0.05

d. Conclusion : We conclude that population proportion 2 is greater than population proportion 1.

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