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sasho [114]
3 years ago
7

A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 y

ears or more of age) shows a victimization rate of 12.35%. Using this data, test whether:______.
Mathematics
1 answer:
jekas [21]3 years ago
7 0

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / \sqrt{p*(1-p) / n}

x = 0.1235 - 0.10 / \sqrt{0.10 * 0.90 / 527}

x = 0.0235 / \sqrt{0.09 / 527}

x = 0.0235 / \sqrt{0.00017077798}

x = 0.0235 / 0.0130682049264618

x = 1.798257689731729

x = 1.798

P value = [1 - p(Z > 1.7980] (Right tailed test)

P value = 0.036089

The P - Value is very small, so <u>reject H0</u>

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.

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Tammy needs more 11 1/6 cups.
3 0
3 years ago
A rectangle has an area of 18 square feet. A similar rectangle 1
avanturin [10]

Answer:

Ratio = 9 :80

Step-by-step explanation:

Given

A_1 = 18ft^2 --- Area of smaller rectangle

A_2 = 160ft^2 --- Area of bigger rectangle

Required

Determine the area of the areas.

The ratio is calculated by the dividing the areas of rectangles.

Ratio = \frac{A_1}{A_2}

Substitute values for A2 and A1

Ratio = \frac{18ft^2}{160ft^2}

Ratio = \frac{18}{160}

Simplify the fraction

Ratio = \frac{9}{80}

Represent as ratio

Ratio = 9 :80

<em>Hence, the ratio of the rectangles is 1 to 9</em>

8 0
3 years ago
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capa
Mekhanik [1.2K]

Answer:

A student have to score 1.28 standard deviations above the mean o be publicly recognized.

Step-by-step explanation:

If X \sim N (\mu, \sigma^{2}), then Z=\frac{X-\mu}{\sigma}, is a standard normal variate with mean, E (<em>Z</em>) = 0 and Var (<em>Z</em>) = 1. That is, Z \sim N (0, 1).

The distribution of these <em>z</em>-variates is known as the standard normal distribution.

In statistics, a standardized score is the number of standard deviations an observation or data point is above the mean.

Thus, <em>z</em>-scores are a type of standardized scores.

It is provided that the students who score in the top 13 percent in the National Financial Capability Challenge Exam are recognized publicly for their achievement by the Department of the Treasury.

Let <em>x</em> be score of the top 13%.

So, to be are recognized publicly for their achievement by the Department of the Treasury the probability of score <em>x</em> must be:

P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The value of <em>z</em> for the above probability is:

<em>z </em>= 1.28

*Use a <em>z</em>-table.

Thus, a student have to score 1.28 standard deviations above the mean o be publicly recognized.

8 0
3 years ago
Read 2 more answers
Kim finish reading a book and 13.5 hours. He took Javis 845 minutes to read same book. Monica read the book and 49,500 seconds.
sesenic [268]
Put it all into the same measurement unit -
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Javis: 50,700 seconds. (845*60=50,700)
Monica: 49,500 seconds.

Kim finished the book first.
3 0
3 years ago
Why are 4/10 and 4/100 not equal?
Mrrafil [7]
The same reason 4 dimes and 4 pennies aren't equal. 

To put it into decimal terms, 4/10 is 0.40 (or forty cents), whereas 4/100 is 0.04 (or four cents)
6 0
3 years ago
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