95% confidence interval

fx'ns

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Joined
Dec 9, 2013
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5
Hi,

I need help with this question

100 people agreed to drink from 2 unmarked cups and indicate which soft drink they preferred (soft drink A or B). 54% said they liked B better, construct a 95% confidence interval for p, the true proportion of people who prefer soft drink B to A.

standard error

[0.54(0.46)]/100=0.002484

take the square root =0.0498

0.54-1.96(0.0498) and 0.54+1.96(0.0498)
0.442 and 0.638

but my solution does not match my book, what did I do wrong?

thanks
 
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