To find the upper and lower bounds of p, we need to consider the range of values that could be rounded to 0.079 when rounded to 3 decimal places.
The midpoint between 0.0785 and 0.0795 is (0.0785 + 0.0795) / 2 = 0.079. Any value between 0.0785 and 0.0795 would round to 0.079 when rounded to 3 decimal places.
Therefore, the lower bound of p is 0.0785 and the upper bound of p is 0.0795.
In interval notation, we can write:
p ∈ [0.0785, 0.0795]