3-612420 what is next in the sequence

A random sample of n 1n1equals=139139 individuals results in x 1x1equals=3737 successes. An independent sample of n 2n2equals=14

gulaghasi [49]

Answer:

$z=-2.32$

$p_v =P(Z$

If we compare the p value and using any significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significant lower than the proportion 2 at 5% of significance.

Step-by-step explanation:

1) Data given and notation

$X_{1}=37$ represent the number of people with characteristic 1

$X_{2}=58$ represent the number of people with characteristic 2

$n_{1}=139$ sample 1 selected

$n_{2}=147$ sample 2 selected

$p_{1}=\frac{37}{139}=0.266$ represent the proportion of people with characteristic 1

$p_{2}=\frac{58}{147}=0.395$ represent the proportion of people with characteristic 2

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion 1 is less than the proportion 2, the system of hypothesis would be:

Null hypothesis: $p_{1} \geq p_{2}$

Alternative hypothesis: $p_{1} < p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{37+58}{139+147}=0.332$

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.266-0.395}{\sqrt{0.332(1-0.332)(\frac{1}{139}+\frac{1}{147})}}=-2.32$

4) Statistical decision

For this case we don't have a significance level provided $\alpha$ we can assuem it 0.05, and we can calculate the p value for this test.

Since is a one left tailed test the p value would be:

$p_v =P(Z$

So if we compare the p value and using any significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion 1 is significant lower than the proportion 2 at 5% of significance.

5 0

4 years ago

Use average rates of change to determine if the function in the table is Linear or Non-linear.

nevsk [136]

We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.

We know that a function is linear when its rate of change (slope) is constant.

Let us find slope for each of the given points using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-3-0}{4-1}=\frac{-3}{3}=-1$

Similarly, we will find the slopes using other given coordinates.

$m=\frac{-6-(-3)}{7-4}=\frac{-6+3}{3}=\frac{-3}{3}=-1$

$m=\frac{-9-(-6)}{10-7}=\frac{-9+6}{3}=\frac{-3}{3}=-1$

Since the rate of change for each set of points is $-1$ , so the rate of change is constant.

Therefore, the given function is linear.

3 0

3 years ago

Latoya is making monthly payments of $58.00 to pay off a loan that she took

spayn [35]

Answer:

$62

Step-by-step explanation:

I think there is some missing information. Primarily what the price of the 'Viola' is. Also, I think there might be something else missing, since the obvious answer would be the highest value $62.00

8 0

4 years ago

Read 2 more answers

¿Cuál decimal es equivalente a 76/9?

snow_lady [41]

La respuesta es 8.4444

8 0

4 years ago

Shelly got 60 questions correct on her math test.If she got 75% how many questions were on the test?

vekshin1

There were 80 questions on the test.

5 0

3 years ago