Find the solution to K+1=3k-1

In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and de

Naily [24]

Answer:

$z=\frac{0.0156-0.0114}{\sqrt{0.01554(1-0.01554)(\frac{1}{32601}+\frac{1}{88})}}=0.318$

$p_v =P(Z>0.318)=0.375$

So the p value is a very high value and using the significance level provided $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona is not significantly higher than the national incident rate at 1% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=507$ represent the number of children diagnosed with Autism Spectrum Disorder (ASD) in Arizona

$n_{1}=32601$ sample elected from arizona

$\hat p_{1}=\frac{507}{32601} =0.0156$ represent the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona

$p_{2}=\frac{1}{88}= 0.0114$ represent the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in the nation

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to check if that the incident of ASD is more in Arizona than nationally, the system of hypothesis are:

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

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 $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{507+1}{32601 +88}=0.01554$

Calculate the statistic

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

$z=\frac{0.0156-0.0114}{\sqrt{0.01554(1-0.01554)(\frac{1}{32601}+\frac{1}{88})}}=0.318$

Statistical decision

The significance level provided is $\alpha=0.01$ , and we can calculate the p value for this test.

Since is a one right sided test the p value would be:

$p_v =P(Z>0.318)=0.375$

So the p value is a very high value and using the significance level provided $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona is not significantly higher than the national incident rate at 1% of significance.

5 0

3 years ago

Find sin X, cos X, and tan X as a fraction in simplest form.

cupoosta [38]

Answer:

sin X = $\frac{4}{5}$

cos X = $\frac{3}{5}$

tan X = $1\frac{1}{3}$

Step-by-step explanation:

First, find what the hypothenuse is:

$c^{2} = a^{2} + b^{2}$

$c^{2} = 18^{2} + 24^{2}$

$c^{2} = 324 + 576$

$\sqrt{c^{2}} = \sqrt{900}$

c = 30

$sine = \frac{opposite}{hypothenuse}\\\\$

sin x = $\frac{24}{30} = \frac{4}{5}$

$cosine = \frac{adjacent}{hypothenuse}$

cos x = $\frac{18}{30} = \frac{3}{5}$

$tan = \frac{opposite}{adjacent}$

tan x = $\frac{24}{18} = 1\frac{6}{18} = 1\frac{1}{3}$

8 0

3 years ago

Read 2 more answers

Alice and Bob have two positive integers, x and y respectively, glued to their foreheads, so that each can read the other’s numb

vazorg [7]

Step-by-step explanation: |x − y| = 1, ok lets play as Alice, my number is y, and the bob number is x.

the condition says that x-y = 1 or x-y = -1.

so, if you know x, then y = 1 +y or y = y - 1. so you have two possibilities.

let's see two cases : first, let's suppose there are no code in the conversation. Then the only way of being shure of your number, is if one of them have the lowest positive number, so the other should have the next one. So if Bob have the number one, Alice knows for shure that she has the 2. Bob knows that she has a 2, but that means he could have a 1 or a 3, but when he sees that Alice is shure about her number, he knows that his number is the 1.

the second case is where the conversation may be a sort of code, saying a phrase x times and changing when x = the number of the other person, in this case, bob will have the 201 and alice the 202.

7 0

3 years ago

Which of the following circles lie completely within the fourth quadrant? Check all that apply.

arlik [135]

Remember that the circle formula is (x – h)2 + (y – k)2 = r2 where h and k represents the center of the circle. We determine as follows:

A.(x - 2)2 + (y + 7)2 =64
 (h,k) = 2,-7 QUADRANT 4

B.(x - 5)2 + (y + 5)2 = 9
 (h,k) = 5,-7 QUADRANT 4

C.(x - 9)2 + (y + 9)2 = 16
(h,k) = 9,-9 QUADRANT 4

D.(x - 12)2 + (y + 0)2 = 72
 (h,k) = 12,0 QUADRANT 4

5 0

3 years ago

14 a = 70 help please please

Olenka [21]

The answer is 5 bc you divide 14 by 70

5 0

4 years ago