Mathematics, 16.05.2020 17:57 sansketon

A random sample of 150 donations at a certain blood bank reveals that 70 were Type A blood. Does this suggest that the actual percentage of Type A donations differs from 40%, the percentage of the population having Type A blood? Carry out a test of hypotheses using a significance level of 0.01. Would your conclusion have been different if significance level of 0.05 had been used? Use only the P-Value Approach. State H0 and Ha. (20 pts)

Answers: 1

Show answers

Answers

Answer from: delphinelilly2846

$z=\frac{0.467 -0.4}{\sqrt{\frac{0.4(1-0.4)}{150}}}=1.675$

Now we can calculate th p value using the alternative hypothesis with the following probability:

p_v =2*P(z1.675)=0.0939

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of Type A donations is not significantly different from 0.4 or 40% at 5% of significance.

Step-by-step explanation:

Information given

n=150 represent the random sample taken

X=70 represent the samples with Type A blood

$\hat p=\frac{70}{150}=0.467$ estimated proportion of samples with Type A blood

p_o=0.4 is the value to verify

$\alpha=0.05$ represent the significance level

zwould represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the actual percentage of Type A donations differs from 40%, then the system of hypothesis are:

Null hypothesis: 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:

$z=\frac{0.467 -0.4}{\sqrt{\frac{0.4(1-0.4)}{150}}}=1.675$

Now we can calculate th p value using the alternative hypothesis with the following probability:

p_v =2*P(z1.675)=0.0939

Answer from: Quest

x= -3 and $x=\frac{-3+/-3i\sqrt{3} }{2}$

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

$(x^3-a^3)=$ $(x-a)(x^2+ax+a^2)$

where a is the cube root of $a^3$ .

here this is 27 and the cube root of 27 is 3. so we write using the form:

$(x-3)(x^2+(3)x+3^2)\\(x-3)(x^2+3x+9)$ .

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$

where a = 1, b=3, and c=9

$x=\frac{-3+/-\sqrt{3^2-4(1)(9)} }{2(1)} \\x=\frac{-3+/-\sqrt{9-36)} }{2} \\x=\frac{-3+/-\sqrt{-27)} }{2}\\x=\frac{-3+/-3i\sqrt{3} }{2}$

this cubic has two complex roots.

Answer from: Quest

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

Another question on Mathematics

Mathematics, 21.06.2019 17:50

Bill works as a waiter and is keeping track of the tips he ears daily. about how much does bill have to earn in tips on sunday if he wants to average $22 a day? tips by day tips (dollars) monday tuesday wednesday thursday friday saturday $14 $22 $28 $36

Answers: 1

Answer

Mathematics, 21.06.2019 18:50

Which of the following is a function? a.) {(-2, -4/5), (-1,-,,-1)} b.) {(-2,,1/,3/,1)} c.) {(-22)} d.) {(-21)}

Answers: 3

Answer

Mathematics, 21.06.2019 23:40

For a function f(x), a) if f(7) = 22 then f^-1(22) = b) f^-1(f(c)) =

Answers: 2

Answer

Mathematics, 22.06.2019 02:00

Idon't want to fail summer school.the probabilities of contamination in medicine capsules due to the presence of heavy metals and different types of microbes are given in the table.the probability of capsule b having microbial contamination is (the same as, greater than, less than) the probability of capsule d having it.

Answers: 3

Answer

You know the right answer?

A random sample of 150 donations at a certain blood bank reveals that 70 were Type A blood. Does thi...

Questions