A new study has found that, on average, 6- to 12-year-old children are spending less time on household chores today compared to 1981 levels. Suppose two samples representative of study's results report the following summary statistics for the two periods. Using a 5% confidence level, which of the following is correct? A) Reject H₀: µ₁ − µ₂ ≤ 0 and therefore do not conclude that relative to the 1981 levels, 6- to 12-year-old children spent less time in 2008 on household chores. B) Do not reject H₀: µ₁ − µ₂ ≤ 0 and therefore conclude that relative to the 1981 levels, 6- to 12-year-old children spent less time in 2008 on household chores. C) Reject H₀: µ₁ − µ₂ ≤ 0 and therefore conclude that relative to the 1981 levels, 6- to 12-year-old children spent less time in 2008 on household chores. D) Do not reject H₀: µ₁ - µ₂ ≤ 0 and therefore do not conclude that relative to the 1981 levels, 6- to 12-year-old children spent less time in 2008 on household chores.

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The Answer of A new study has found that, on average, 6- to 12-year-old children are spending less time on household chores today compared to 1981 levels. Suppose two samples representative of study's results report the following summary statistics for the two periods. Using a 5% confidence level, which of the following is correct? A) Reject H₀: µ₁ − µ₂ ≤ 0 and therefore do not conclude that relative to the 1981 levels, 6- to 12-year-old children spent less time in 2008 on household chores. B) Do not reject H₀: µ₁ − µ₂ ≤ 0 and therefore conclude that relative to the 1981 levels, 6- to 12-year-old children spent less time in 2008 on household chores. C) Reject H₀: µ₁ − µ₂ ≤ 0 and therefore conclude that relative to the 1981 levels, 6- to 12-year-old children spent less time in 2008 on household chores. D) Do not reject H₀: µ₁ - µ₂ ≤ 0 and therefore do not conclude that relative to the 1981 levels, 6- to 12-year-old children spent less time in 2008 on household chores.

A New Study Has Found That, on Average, 6- to 12-Year-Old