Number of students included in the sample to estimate the proportion with confidence interval 95% is equal to 9604.
As given in the question,
Confidence interval = 95%
z -critical value for 95% confidence interval = 1.96
Estimate proportion is in the limit 0f 0.07
Let us assume value of
sample proportion 'p' = 0.5
Margin of error = 0.01
level of significance = 0.05
let 'n' be the sample size to represent number of students included for the hypothesis.
n = p ( 1 - p ) ( z- critical value / margin of error )²
⇒ n = 0.5 ( 1 - 0.5 )( 1.96 / 0.01 )²
⇒ n = 0.5 (0.5 ) (3.8416/ 0.0001)
⇒ n = 0.25 × 38416
⇒ n = 9604
Therefore, the number of students included for the hypothesis to estimate the proportion with confidence interval 95% is equal to 9604.
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