A new study has found that, on average, 6- to 12-year-old children are spending less time on household chores today compared to 1983 levels. Two samples of 30 observations each, representative of the study's results report, are collected.

Excel data file

Let sample 1 include the results in minutes for the 2017 levels, and sample 2 for the 1983 levels, respectively.

a.Specify the competing hypotheses that determine whether 6- to 12-year-old children are spending less time on household chores today than they used to.

(Click to select)

Ho:12= 0;Ha:12 0

Ho:12 0;Ha:12< 0

Ho:12 0;Ha:12> 0

Ho:D= 0;Ha:D 0, whereD = x1 - x2

Ho:D 0;Ha:D < 0, whereD = x1 - x2

Ho:D 0;Ha:D> 0, whereD = x1 - x2

b. What is the test statistic? (Negative values should be indicated by a minus sign. Enter value in 2 decimal places)

c. What is the p-value? (Enter value in 4 decimal places)

d. At a 5% significance level, what are the conclusions?

(Click to select)

Reject H0; there is evidence that, relative to the 1983 levels, 6- to 12-year-old children spent less time in 2017 on household chores..

Reject H0; there is no evidence that, relative to the 1983 levels, 6- to 12-year-old children spent less time in 2017 on household chores..

Reject H0; there is evidence that, relative to the 1983 levels, 6- to 12-year-old children did not spend less time in 2017 on household chores..

Do not reject H0; there is evidence that, relative to the 1983 levels, 6- to 12-year-old children spent less time in 2017 on household chores..

Do not reject H0; there is no evidence that, relative to the 1983 levels, 6- to 12-year-old children spent less time in 2017 on household chores..

Do not reject H0; there is evidence that, relative to the 1983 levels, 6- to 12-year-old children did not spend less time in 2017 on household chores..