There are 367,800 Netflix Users in Australia. A survey was conducted to see how many people would move to Stan if Stan became cheaper than Netflix's subscription cost. Out of 940 respondents 695 people said they would move to Stan if it became cheaper than Netflix.

The survey manager has already calculated a 95% confidence interval for the proportion of people that would move to Stan. The lower bound is 0.711 and the upper bound is 0.767.

She has asked you to calculate how large a sample should be taken to reduce the confidence interval to 60% of its current size