Based on the average predictions of 47 members of the National Association of Business Economists (NABE), the U.S. gross domestic product (GDP) will expand by 3.2% in 2011 (The Wall Street Journal, May 23, 2010). Suppose the sample standard deviation of their predictions was 1%. At a 5% significance level, test if the mean forecast GDP of all NABE members is greater than 3%. (You may find it useful to reference the appropriate table: z table or t table)     a. Select the null and the alternative hypotheses.   multiple choice 1 H0: μ = 3; HA: μ ≠ 3 H0: μ ≤ 3; HA: μ > 3 H0: μ ≥ 3; HA: μ < 3     b. Calculate the value of test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)           c. Find the p-value.   multiple choice 2 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     d. At a 5% significance level, can we conclude that  the mean forecast GDP of all NABE members is greater than 3%?   multiple choice 3 Yes, since we reject H0. Yes, since we do not reject H0. No, since we reject H0. No, since we do not reject H0.

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Based on the average predictions of 47 members of the National Association of Business Economists (NABE), the U.S. gross domestic product (GDP) will expand by 3.2% in 2011 (The Wall Street Journal, May 23, 2010). Suppose the sample standard deviation of their predictions was 1%. At a 5% significance level, test if the mean forecast GDP of all NABE members is greater than 3%. (You may find it useful to reference the appropriate table: z table or t table)
 

 

a. Select the null and the alternative hypotheses.

 

multiple choice 1

  • H0μ = 3; HAμ ≠ 3
  • H0μ ≤ 3; HAμ > 3
  • H0μ ≥ 3; HAμ < 3

 

 

b. Calculate the value of test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

 

 

 

 

 

c. Find the p-value.

 

multiple choice 2

  • 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

 

 

d. At a 5% significance level, can we conclude that  the mean forecast GDP of all NABE members is greater than 3%?

 

multiple choice 3

  • Yes, since we reject H0.
  • Yes, since we do not reject H0.
  • No, since we reject H0.
  • No, since we do not reject H0.

 

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