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vlabodo [156]
3 years ago
11

Describe how the equation y equal left parenthesis x minus 2 right parenthesis to the power of 2 plus 5 transforms the graph of

a basic parabola y equal x to the power of 2 .
Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0
The equation (x-2)^2+5 transforms the graph by shifting the graph 5 units up

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A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were c
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Answer:

a) The test statistic is z = -2.51

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

H_a: p_{B} - p_{NY} < 0

While the null hypothesis is:

H_0: p_{B} - p_{NY} = 0

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that X = 0.581 - 0.832 = -0.251

0 is tested at the null hypothesis:

This means that \mu = 0

Standard error = 0.1

This means that s = 0.1

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{-0.251 - 0}{0.1}

z = -2.51

The test statistic is z = -2.51

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.

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3 years ago
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