(1) Find the value of x in the figure below. Show all steps.( left picture)

A random sample of 144 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the ac

Reptile [31]

Answer:

Null hypothesis: $p=0.4$

Alternative hypothesis: $p \neq 0.4$

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

Step-by-step explanation:

Information given

n=144 represent the random sample taken

X=81 represent the number of people with type A blood

$\hat p=\frac{81}{144}=0.5625$ estimated proportion of people with type A blood

$p_o=0.4$ is the value that we want to verify

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v{/tex} represent the p value Hypothesis to testWe want to test if the percentage of the population having type A blood is different from 40%.: Null hypothesis:[tex]p=0.4$

Alternative hypothesis: $p \neq 0.4$

the statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

Now we can calculate the p value with this probability taking in count the alternative hypothesis:

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

3 0

3 years ago

The width of a rectangle is three more than twice the length. The perimeter is 96 inches. Find the length and the width.

ExtremeBDS [4]

Answer:

The length of the rectangle is 15 inches and the width is 33 inches

Step-by-step explanation:

The dimensions for the rectangle are as follows:

L=L and W=2L+3

The equation for perimeter of a rectangle is:

P=2l+2w

To Solve:

1. Plug values into perimeter equation

96=2(L)+2(2L+3)

2. Simplify the equation above.

96=2L+4L+6

3. Combine like terms:

96=6L+6

4. Solve for L by subtracting 6 from both sides:

90=6L

5. Solve for L by dividing both sides by 6:

15=L.

6. Plug 15 into the equation for the width:

2(15)+3=w

30+3=w.

7 0

3 years ago

6N=48<br><br> please solve for N

Fudgin [204]

Answer:

N=8

Step-by-step explanation:

6N=48

Divide by 6 both sides

6N/6=48/6

N=8

6 0

2 years ago

For a game, 3 people are chosen in the first round. Each of those people chooses 3 people in the second round, and so on. How ma

Feliz [49]

Answer:

18

Step-by-step explanation:

3

6

9

12

15

18

8 0

3 years ago

Q2.3. What is the lowest value for proportion to vaccinate that protects the entire population from a smallpox epidemic

Sveta_85 [38]

Answer:

0.85 ( lowest value proportion to vaccinate )

Step-by-step explanation:

Using the herd immunity relationship

Vc = E - ( E / Ro )

Vc = critical vaccination level

E = vaccine effective against the transmission = 1

Ro = Basic reproduction number

lets assume the effectiveness of the transmission = 100% = 1

lets assume the

Vc = 1 - ( 1 / 3 ) = 67%

but the lowest value proportion to vaccinate = 85%

7 0

3 years ago