What are three equivelant ratios for 3/5

Test the hypothesis using the P value approach. Be sure the verify the requirements of the test.

Andreas93 [3]

Answer:

$p_v =2*P(z$

If we compare the p value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.

Step-by-step explanation:

1) Data given and notation

n=500 represent the random sample taken

X=380 represent the number of people with some characteristic

$\hat p=\frac{380}{500}=0.76$ estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

$p_o=0.76$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

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

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.7 .:

Null hypothesis: $p=0.77$

Alternative hypothesis: $p \neq 0.77$

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)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

<em>Check for the assumptions that he sample must satisfy in order to apply the test </em>

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

$np_o =500*0.77=385>10$

$n(1-p_o)=384*(1-0.77)=115>10$

3) Calculate the statistic

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

$z=\frac{0.76-0.77}{\sqrt{\frac{0.77(1-0.77)}{500}}}=-0.531$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z$

If we compare the p value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.

6 0

4 years ago

Each floor of a hotel as r rooms. On 8 floors, there are a total of 256 rooms. Write an equation to represent this situation

Natalka [10]

Answer:

256/8 = r

Step-by-step explanation:

256 room between 8 floors so divide the number of rooms by each floor to work out r

256 divided by 8 equals r

3 0

3 years ago

A n =−1+3(n−1) an=−1+3(n−1) what is the 55 term in the sequence

Sindrei [870]

ANSWER

$a_{55}=161$

EXPLANATION

The general term for the sequence is

$a_n=-1+3(n-1)$

To find the 55th term, we have to substitute
$n = 55$
in to the general term and simplify.

This implies that,

$a_{55}=-1+3(55-1)$

$a_{55}=-1+3(54)$

$a_{55}=-1+162$

$a_{55}=161$

Therefore the 55th term is 161.

8 0

3 years ago

Help plz!! Has to do with concepts

aleksley [76]

Answer:

f(2) =4, f(4) =4, x=8, x=3

Step-by-step explanation:

f(2) is asking for what the y value is when x is 2. f(4) is also asking what the y value is when x=4. When y=-2 the x is 8 and when the y=6 x=4. I hope this is helpful.

3 0

3 years ago

La cantidad requerida de un producto es de 100 unidades, cuando el precio es de $58 por unidad, y de 200 unidades, cuando el pre

Jobisdone [24]

Answer:

La expresión lineal es; 7y = 6500 - 100x

Step-by-step explanation:

Necesitamos entender que todos los modelos lineales siguen u obedecen la ecuación de una línea recta.

Matemáticamente, la ecuación de una línea recta se puede representar como;

y = mx + c

donde m representa la pendiente de la línea yc representa la intersección en y de la línea.

Para responder adecuadamente a esta pregunta, podemos ver que tenemos dos puntos de trama diferentes. Podemos visualizar nuestro modelo como una gráfica lineal del número de unidades contra el precio. Donde el número de unidades está en el eje y, y el precio está en el eje x.

Verifique el archivo adjunto para ver un diagrama de cómo debe verse la trama.

Ahora, calculemos la pendiente de nuestra línea que tiene 2 puntos en la línea;

(58,100) y (51,200)

Para calcular la pendiente m, podemos usar la relación matemática de la siguiente manera;

m = (y2-y1) / (x2-x1) = (200-100) / (51-58) = -100/7

Ahora tenemos la pendiente pero no tenemos la intersección en y.

Para obtener la intersección con el eje y, utilizamos cualquiera de los dos puntos de datos.

Usaré el segundo;

La ecuación de la línea en ese punto será;

200 = -100 / 7 (51) + c

Tenemos;

7c = 1400 + 5100

7c = 6500

c = 6500/7

Ahora completemos nuestro modelo lineal ya que ahora tenemos la pendiente y la intersección en y

y = - (100/7) x + 6500/7

7 años = -100x + 6500

o simplemente 7y = 6500-100x

5 0

3 years ago