Answer:
The 90% confidence interval is between a lower limit of 0.7306 and an upper limit of 0.7754.
Step-by-step explanation:
Confidence interval for a proportion is given as p +/- margin of error (E)
p is sample proportion = 753/1000 = 0.753
n is sample size = 1000
confidence level = 90%
critical value corresponding to 90% confidence level and infinity degree of freedom is 1.645
E = critical value×sqrt[p(1-p) ÷ n] = 1.645×sqrt[0.753(1-0.753) ÷ 1000] = 1.645×sqrt[1.85991×10^-4] = 1.645×0.0136 = 0.0224
Lower limit of proportion = p - E = 0.753 - 0.0224 = 0.7306
Upper limit of proportion = p + E = 0.753 + 0.0224 = 0.7754
90% confidence interval is (0.7306, 0.7754)
The first one is the second one is All real numbers Step- by-step explanation:
1. Anything raised to the " zeroth" power is always 1
2. Because 7 is being raised to the zeroth power, the number inside the parentheses becomes 1. Now x can equal anything, 1 times itself will always equal 1, no matter how many times you multiply them.
Answer:
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