Amanufacturer wishes to estimate the proportion of washing machines leaving the factory that is defective. how large a sample should she check in order to be 90% that the true proportion is within 1.5%?

Given:

ME = 1.5% = 0.015

P = 0.5 ( maximises P)

Answer and Step-by-step explanation:

Now,

Margin of Error (ME) is given by the formula:

where,

t = critical value = 1.645

= standard deviation

So, squaring both sides  and then rearranging:

n = (1.645)^{2}\times {\frac{0.5(1 - 0.5)}{0.015^{2}}}

n = 3006.69

n = 3007 (approx)

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!