Finding confidence interval for population proportion

Of 900 consumers surveyed, 414 said they were very enthusiastic about a new home decor scheme. What is the 99% confidence interval for the population proportion?

a. 30 and 40 b.30 and 60 c.31 and 51 d.42 and 50

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...46=0.54
n=sample size=900

Since we are not given population parameters, we will approximate them with sample statistics.
p= =0.46
q= 0.54

Estimated standard error of proportion=S.E = 0.016613
Since sample size is ...