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3 years ago

Linear equation: -1

Mathematics

2 answers:

sergejj [24]3 years ago

8 0

The correct answer is a.

valentinak56 [21]3 years ago

5 0

Answer:

A. The addition property of equality and then the division property of equality

Step-by-step explanation:

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Can you help me find the test statistic AND Pvalue for a hypothesis test. The question is: In a survey respondents were asked wo

vitfil [10]

Answer:

Test statistic z=0.65

P-value=0.52

Fail to reject the null hypothesis.

Step-by-step explanation:

Here we have to perform a hypothesis test on the difference of proportions. We may want to answer if there is significant difference in the proportions of male and females.

The null and alternative hypothesis are:

$H_0: \pi_1=\pi_2\\\\H_1: \pi_1\neq\pi_2$

The significance level is defined as 0.05.

The YES proportion for females is:

$p_1=33/98=0.337$

The YES proportion for males is:

$p_2=30/102=0.294$

The weighted average of p can be calculated as:

$p=\frac{n_1*p_1+n_2*p_2}{n_1+n_2}=\frac{33+30}{98+102}=0.315$

With this p, we estimate the standard deviation

$s=\sqrt{\frac{p(1-p)}{n_1}+\frac{p(1-p)}{n_2} }=\sqrt{\frac{0.315(1-0.315)}{98}+\frac{0.315(1-0.315)}{102} }=0.066$

The test statistic z can be calculated as:

$z=\frac{p_1-p_2}{s} =\frac{0.337-0.294}{0.066}=\frac{0.043}{0.066}=0.65$

We can calculate the p-value for z, taking into account is a two-sided test

$P(|z|>0.65)=0.52$

The P-value (0.52) is greater than the significance level (0.05), so the effect is not significant. It failed to reject the null hypothesis.

We have enough evidence to conclude that the proportions that vote YES are different between genres.

8 0

4 years ago

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

allochka39001 [22]

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.

5 0

3 years ago

If the complement of an angle measures 22 degrees what is the measure of its supplement?

sergiy2304 [10]

The complement of an angle is
angle+complement=90 degrees

angle+supplement=180

so if angle+22=90
subtract 22
angle=68

supplement=

68+supplement=180
subtract 68
supplement=112

8 0

3 years ago

Need help please :) thanks

Trava [24]

K’ (-3,-3)
L’(1,-1)
M’(-1,-5)
N’(-5,-7)

D’(0,4)
E’(4,3)
F’(2,-5)
G’(-2,-4)

5 0

3 years ago

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x

GREYUIT [131]

Answer:

It is the graph of f(x) translated 3 units down.

Step-by-step explanation:

5 0

3 years ago