Compare and order the numbers. 368,753 459,156, 796,154, 368,743, 530,076

Mathematics

1 answer:

myrzilka [38]3 years ago

6 0

368,743 /368,753 /459,156/530,076/796,154 from smallest to biggest

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Find the interest rate you are borrowing $2,500 for 2 years and you ear $450 in interest

Andrews [41]

Answer:

2500×100/2×450

25/2×450

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3 years ago

Use a sample n=1400 , p=0.20 and a 99% confidence level to construct a confidence interval estimate of the population proportion

saul85 [17]

Answer:

$0.2 - 2.58\sqrt{\frac{0.2(1-0.2)}{1400}}=0.172$

$0.2 + 2.58\sqrt{\frac{0.2(1-0.2)}{1400}}=0.228$

The 99% confidence interval would be given by (0.172;0.228)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by: