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Alchen [17]
3 years ago
13

State whether the following statements are True or False:

Mathematics
1 answer:
levacccp [35]3 years ago
6 0

Answer:

a) False

b) True

c) True

d) False

Step-by-step explanation:

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An insurance company is interested in conducting a study to to estimate the population proportion of teenagers who obtain a driv
nlexa [21]

Answer:

n=1041  or higher

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{\hat p(1-\hat p)}{n}})

2) 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:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

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

And on this case we have that ME =\pm 0.04 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have a prior estimation for th proportion of interest, we can use this value as an estimation \hat p =0.5 And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{2.58})^2}=1040.06  

And rounded up we have that n=1041  or higher.

8 0
3 years ago
Please help me with this math
fredd [130]

The part D is the correct one...

8 0
3 years ago
What 2.85 when rounded to the nearest hundreth
Nastasia [14]

Answer:

000 . bcoz 2.85 is the digit of once place

5 0
3 years ago
Given that APOR is similar to APTS, what is the value of x?
marusya05 [52]

Answer:

D.

Step-by-step explanation:

8 0
2 years ago
What is 7,5444+789=?
lisov135 [29]

Answer:

76233

Step-by-step explanation:

Add the numbers together:

75444 + 789 = 76233

3 0
3 years ago
Read 2 more answers
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