Answer:
The minimum sample size required to estimate the required proportion is 176 students.
Explanation:
We are given the following data:
Guessed sample proportion = p = 0.34
Margin of Error = m = 0.07
Confidence Interval = 95%
We need to calculate the minimum sample size required. Since we are dealing with proportions, we will use the formulas of one-sample z-test for population proportions, according to which:

The value of z can be seen from the z-tables or z-calculators. The z value for 95% confidence interval comes out to be 1.96
Substituting the values in the above formula gives us:

Thus, the minimum sample size required to estimate the required proportion is 176 students.