In a poll 303 of 1010 randomly selected adults aged 18 or older stated that they

Question

In a poll 303 of 1010 randomly selected adults aged 18 or older stated that they believe there is too little spending on national defense. Use this information to complete parts (a) through (e) below. p = 0.3 (Simplify your answer.) Verify that the requirements for constructing a confidence interval about p are satisfied. Are the requirements for constructing a confidence interval about p satisfied? Yes, the requirements for constructing a confidence interval are satisfied. No, the requirement that the sample size is no more than 5% of the population is not satisfied. No, the requirement that the sample be a simple random sample is not satisfied. No, the requirement that np(l - p) is greater than 10 is not satisfied. Construct a 95% confidence interval for the proportion of adults aged 18 or older who believe there is too little spending on national defense. The 95% confidence interval is (, ). (Round to three decimal places as needed.) Enter your answer in the edit fields, then click Check Answer.

Explanation / Answer

Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Mean(x)=303
Sample Size(n)=1010
Sample proportion = x/n =0.3
Confidence Interval = [ 0.3 ±Z a/2 ( Sqrt ( 0.3*0.7) /1010)]
= [ 0.3 - 1.96* Sqrt(0) , 0.3 + 1.96* Sqrt(0) ]
= [ 0.272,0.328]

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