A proportion is an equation that states two ____

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

Which number-line model represents the sum of 1.25+ (0.75)

GREYUIT [131]

Answer:

the sum of 1.25+(0.75)=2.00

3 0

4 years ago

In a choose. Cross of choose. Pea plants with round (r) yellow (y) seeds, there will be a choose. Ratio of 9 choose. , 3 choose.

Ludmilka [50]

The pea plants and the yellow seeds are illustrations of genotype ration

The complete statement is: In a monotype cross of heterozygous pea plants with round (R) yellow (Y) seeds, there will be a ratio of 9 round and yellow, 3 round and not yellow, 3 not round and yellow, and 1 not round and not yellow

<h3>How to determine each ratio of the genotype</h3>

To determine the count, we make use of the following representations

Round and Yellow -> RRYY
Round and not yellow -> RRyy
Not round and yellow -> rrYY
Not round and not yellow -> rryy

From the complete question, we have:

Round and Yellow (RRYY) = 9
Round and not yellow (RRyy) = 3
Not round and yellow (rrYY) = 3
Not round and not yellow (rryy) = 1

Hence, the complete statement is:

9 round and yellow, 3 round and not yellow, 3 not round and yellow, and 1 not round and not yellow

Learn more about genotype ration at:

brainly.com/question/14795897

8 0

3 years ago

a ski shop has a markup rate of 50% find the selling price of skis that cost the store owner $300. tell me how you got the answe

rusak2 [61]

If nthe shop has a mark up rate of 50% and they cost 300 to buy you multiply 300 by 50% convert 50% to decimal
so you do .5*300=150
then you add 150 to 300 which means that the shop sells the skis for 450 dollars.

7 0

4 years ago

Write an equation for the linebacker through the point (6,5) with slope -7 in point slope form y=y0+m(x-x0)

Klio2033 [76]

y - 5 = -7(x - 6)

the equation of a line in ' point- slope form ' is

y - b = m(x - a )

where m is the slope and (a, b) a point on the line

here m = - 7 and (a, b ) = (6, 5 )

y - 5 = - 7(x - 6 ) ← in point- slope form

7 0

4 years ago

A proportion is an equation that states two _____ are equal.