The labor bureau wants to estimate, at a 90% confidence level, the proportion of all households that receive welfare. a preliminary sample showed that 17.5% of households in this sample receive welfare. the sample size that would limit the margin of error to be within 0.025 of the population proportion is:

Sample size should be atleast 625

Step-by-step explanation:

Given that the  Labor Bureau wants to estimate, at a 90% confidence level, the proportion of all households that receive welfare

Sample proportion = 17.5%

Let n be the sample size

Standard error of sample proportion=

Z critical for 90% = 1.645

Margin of error = 1.645 * std error

Since margin of error<0.025 we have

answer for #1 is c

answer for #2 is d

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