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Elanso [62]
3 years ago
9

10/15 and 14/21 are equivalent fractions. true or false?

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0
I<span>10/15 and 14/21 are equivalent fractions because 10 x 21 = 15 x 14,
210 = 210.
TRUE.</span>
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a) The 98% confidence interval would be given (0.182;0.218).

b) We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.

c) If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.

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Data given and notation  

n=2700 represent the random sample taken    

X represent the people in England who are deficient in Vitamin D

\hat p=0.2 estimated proportion of England people who are deficient in Vitamin D

\alpha=0.02 represent the significance level

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z would represent the statistic (variable of interest)    

p= population proportion of England people who are deficient in Vitamin D

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The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

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0.20 - 2.33 \sqrt{\frac{0.2(1-0.2)}{2700}}=0.182

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And the 98% confidence interval would be given (0.182;0.218).

Part b

We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.

Part c

If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.

Part d

Yes since the confidence interval not contains the value 0.25, we can refute the claim at 2% of significance.

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