Find the area of the figure.

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

Results of a poll stated that 40% of U.S. adults identify as Republican, and you want to test the claim at alpha = 0.05. What le

Nookie1986 [14]

Answer:

The confidence level is 95% or 0.95.

Step-by-step explanation:

Consider the provided information.

Results of a poll stated that 40% of U.S.

If you want to test the claim at alpha = 0.05.

As we know:

Confidence level = 1 - significance level ( $\alpha$ )

Confidence level = $1 - 0.05$

Confidence level = $0.95$

Therefore, the confidence level is 95% or 0.95.

4 0

4 years ago

The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country durin

almond37 [142]

Year        GDP
y           (billion $)

1985       577

1986       577+ 3.2% of 577 = 577 * 1.032

1987       577* 1.032 + 3.2% of 577 * 1.032 = 577 * (1.032)^2

1988       577 * (1.032)^3

1989       577 * (1.032)^4

....           .... => model GDP = 577 * (1.032)^ (y - 1985)

Then, for GDP = $3.4 trillion = $3400 billion =>

3400 = 577 (1.032)^ (y - 1985)

Divide both sides by 577:

(1.032)^ (y - 1985) = 3400 / 577 = 5.892548

Apply logarith to both sides:

(y - 1985) log (1.032) = log 5.892548

=> y - 1985 = log (5.892548) / log(1.032) = 56.3 years

=> y = 1985 + 56.3 = 2041.3

Answer: 2041

8 0

3 years ago

2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She

sleet_krkn [62]

Answer:Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4. The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

Step-by-step explanation:

8 0

3 years ago

What's the answer to this question 3x + 2y = -4 and how did you get it

Alex777 [14]

First you subtract 3x because you are trying to get x alone so subtract 3x on both side so you would get 2y=-3x-4 and then divide the whole thing by 2 so you would get y=-3-4/2 and then you simplify and get y=-7/2 so y=-7/2 is your answer.

6 0

3 years ago