Apolling company conducts an annual poll of adults about political opinions. the survey asked a random sample of 419 adults whether they think things in the country are going in the right direction or in the wrong direction, 54% said that things were going in the wrong direction. how many people would need to ve surveyed for a 90% confidence interval to ensure the margin or error would be less than 3%?

747

Step-by-step explanation:

When prior estimate of population proportion (p) is given , then the formula to find the sample size is given by :-

, where z* = Critical value and E = Margin of error.

As per given , we have

p= 0.54

E= 0.03

Critical value for 90% confidence : z* = 1.645

Then, the required sample size is given by :-

Hence, the number of people would be needed = 747

step-by-step explanation:

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