Cody is an environmental scientist inquiring about the percentage of deer ticks in a certain national park that are infected with Lyme disease. He suggests that more than 28% of the deer ticks in the park are infected with the disease. Cody randomly selects deer ticks from various spots throughout the park and tests each one for the presence of the disease. Of the 141 deer ticks Cody selected, 43 were infected with Lyme disease. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?

In order to apply the z proportion test we need to verify the following conditions:

1) Randomization we need a random sample.

2) 10 % condition we need that the sample size would be lower than 10% of the population size

3) We need  to satisfy the normalyti condition:

n⋅p≥10 and n⋅(1−p)≥10

And for this case we satisfy all the conditions

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.28, so the correct system of hypothesis are:  

Null hypothesis:  

Alternative hypothesis:  

Step-by-step explanation:

Data given and notation

n=141 represent the random sample taken

X=43 represent the adults that were infected with Lyme disease

estimated proportion of adults infected with Lyme disease

is the value that we want to test

represent the significance level

z would represent the statistic (variable of interest)

represent the p value (variable of interest)  

Solution to the problem

In order to apply the z proportion test we need to verify the following conditions:

1) Randomization we need a random sample.

2) 10 % condition we need that the sample size would be lower than 10% of the population size

3) We need  to satisfy the normalyti condition:

n⋅p≥10 and n⋅(1−p)≥10

And for this case we satisfy all the conditions

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.28, so the correct system of hypothesis are:  

Null hypothesis:  

Alternative hypothesis:  

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

$15 each

step-by-step explanation:

$45/3 children= $15 each