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Amiraneli [1.4K]
3 years ago
14

e) What does the value of the mean absolute deviation tell you about the spread of the data? (2 points)

Mathematics
1 answer:
azamat3 years ago
5 0

Answer:

The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset. ... Step 2: Calculate how far away each data point is from the mean using positive distances.

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A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin
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Option b - not significantly greater than 75%.

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A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

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p=\frac{x}{n}

p=\frac{80}{100}

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Null hypothesis H_0 : candidate A is significantly greater than 75%.

Alternative hypothesis H_1 : candidate A is not significantly greater than 75%.

Level of significance \alpha=0.05

Applying test statistic Z -proportion,

Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}

Where, \widehat{p}=80\%=0.80 and p=75%=0.75

Substitute the values,

Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}

Z=\frac{0.80-0.75}{\sqrt{\frac{0.1875}{100}}}

Z=\frac{0.05}{0.0433}

Z=1.1547

The p-value is

P(Z>1.1547)=1-P(Z

P(Z>1.1547)=1-0.8789

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