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3 years ago

2 2/3× 1 1/3 , use an area modle to solve

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

4 0

2 2/3=8/3 and 1 1/3=4/3. 8/3×4/3=32/9. 32/9 as a mixed number is 3 5/9.

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Step-by-step explanation:

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steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

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The critical value of <em>z</em> for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

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But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

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3 years ago