A work sampling method is used to determine the proportion of the time a worker is idle. The following information was gathered on a random basis.

$\backslash$table$[[$Time$,$No$.$ of Times Clerk Idle,Total No$.$ of Observations$],[8$:$00-10$:$00$ am$,2,6],[10$:$00$ am $-12$:$00pm,3,8],[1$:$00-3$:$00$ pm$,2,7],[3$:$00-5$:$00$ pm$,1,9]]$

What is the proportion of idle time observed for this worker?

greater than $10\%$ but less than or equal to $20\%$

less than or equal to $5\%$

greater than $20\%$

greater than $5\%$ but less than or equal to $10\%$