Question

A film distribution manager calculates that 9%9% of the films released are flops. If the manager is right, what is the probability that the proportion of flops in a sample of 442442 released films would differ from the population proportion by greater than 4%4%

Answer 1

The probability that the proportion of flops in a sample of 442 released films would differ from the population proportion by greater than 4% is:

= 0.094

= 9.4%

Explanation:

Estimated probability that the films released are flops = 9%

Sample of released films = 442

Estimated number of flops = 39.78 (442 * 9%)

If the population proportion of flops will be greater by 4%,

Therefore, the number of flops will increase to 41.37 (39.78 * 1.04)

This gives a new proportion of flops as 0.0936 (41.37/442)