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3 years ago

Alexander found the means-to-MAD ratio of two data sets to be 3.4.

Mathematics

2 answers:

amm18123 years ago

8 0

The answer I believe would be C.

iogann1982 [59]3 years ago

5 0

Answer:

They are different.

Step-by-step explanation:

Given that Alexander found the means-to-MAD ratio of two data sets to be 3.4.

Data set I has mean / mean absolute deviation as 3.4 times the data set II.

That is why the ratio = 3.4

This implies that the two data sets have different variations, and as a result different entries

They cannot be identical because ratio is not 1.

They cannot be similar as mad is higher for I data set

The only conclusion is option

C) they are different

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Step-by-step explanation:

Data given and notation

n=2362 represent the random sample taken

X represent the people who says that they would watch one of the television shows.

$\hat p=\frac{X}{n}=0.22$ estimated proportion of people rated as Excellent/Good economic conditions.

$p_o=0.24$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that 24% of people are rated with good economic conditions:

Null hypothesis: $p=0.24$

Alternative hypothesis: $p \neq 0.24$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

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Part a: Test the hypothesis

Check for the assumptions that he sample must satisfy in order to apply the test

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

np = 2362x0.22=519.64>10 and n(1-p)=2364*(1-0.22)=1843.92>10

Condition satisfied.

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

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The critical value using $\alpha=0.01$ and $\alpha/2 =0.005$ would be $z_{\alpha/2}=2.58$ . Replacing the values given we have:

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Since is a bilateral test the p value would be:

$p_v =2*P(z$

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Part c

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