At one large college, 1969 out of the 3500 students surveyed said they plan to take...

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At one large college, 1969 out of the 3500 students surveyed said they plan to take...

At one large college, 1969 out of the 3500 students surveyed said they plan to take another science class. Find the 95% confidence interval for the proportion of students that said they plan to take another science class.

_?_% to _?_%

math Statistics-And-Probability

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Answer 1

Answer #1

We know that 95% confidence interval for true proportion is given by:

$\\(p\pm Z_{0.05/2}\sqrt{\frac{p(1-p)}{n}})\\ \\ (p\pm Z_{0.025}\sqrt{\frac{p(1-p)}{n}})\\ \\ (\frac{1969}{3500}\pm (1.96)\sqrt{\frac{\frac{1969}{3500}(1-\frac{1969}{3500})}{3500}})\\ \\ (0.5626\pm 0.0164)\\ \\ (0.5462,0.5790)$

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Answer 2

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