It is believed that 67.3% of Americans own their own homes. Suppose a sample of 50 Americans were selected. c) Find the probability that the sample selected has more than 70% of the Americans that are homewoners.
Consider,
X be random variable that shows the number of people who has their own home which follows binomial distribution. That is,
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X-B(n=50,p=0673)
Since, sample size is large enough (n>30) therefore x follows normal distribution that is normal approximation of binomial.
Here, x represents the sample...
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L= nxp = 50 x 0.673 = 33.6 mp(1-p) 50(0.673) (1-0.673) = 3.3
Math
Statistics
Hypothesis Testing
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