A survey reported that the mean national annual personal expenses for school supplies of all elementary teachers was P5,423 with a standard deviation of P979. A random sample of 352 elementary teachers in Camarines Norte had an average expense of P5,516.

• What kind of hypothesis testing is appropriate for comparing Camarines Norte teachers with the national population of teachers in personal expenses for school supplies?
  • Paired samples z-test
  • Independent samples z-test
  • One-sample t-test.
  • One-sample z-test.
  • Test for significance of correlation.
• What would be the null hypothesis for this analysis?*
  • Ho: u = 5,423
  • Ho: u = 5,516
  • Ho: u = 0
  • Ho: u = 5,423 / 5516
  • Ho: u = 979
• What would be the alternative hypothesis for testing if CN teachers spend more than the national average?
  • H1: u < 5,423
  • H1: u <> 0
  • H1: u <> 5,516
  • H1: u > 5,516
  • H1: u > 5,423
• If a one-tailed test at alpha = .01 is performed, what is the critical value of z?
  • 1.78
  • -2.326
  • -1.96
  • 2.326
  • 1.96
• For this dataset and significance test if CN teachers spend more than the national average, what is the p-value?
  • .99
  • .01
  • .95
  • .025
  • .962
• What is the value of the calculated z statistic ?*
  • -1.96
  • 1.96
  • -2.326
  • 1.78
  • 2.326
• What would be the conclusion if one -tailed test at alpha of 0.01 is performed?
  • Reject H0: CN teachers do not differ from national average in school supply expense.
  • Accept H0: CN teachers differ from national average in school supply expense.
  • Do not reject H0: We cannot conclude that CN teachers spend more than the national average on school supplies.
  • Not enough information to do hypothesis testing.
  • None of these options is a correct conclusion.
• What would be the conclusion if alpha of 0.05 is used instead?
  • Reject H0: CN teachers spend more than the national average on school supplies.
  • Accept H0: CN teachers differ from national average in school supply expense.
  • Do not reject H0: We cannot conclude that CN teachers spend more than the national average on school supplies.
  • Not enough information to do hypothesis testing.
  • None of the other options is a correct conclusion.