1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gwar [14]
3 years ago
15

A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too h

igh and wants to test to see if it is lower. She selects a random sample of 200 adults and finds that 74 of them are registered organ donors. Perform the hypothesis test at the 0.05 level. Compute the P-value and state a conclusion.
Mathematics
2 answers:
WITCHER [35]3 years ago
7 0

Answer:

Step-by-step explanation:

Given:

n = 200

H0 : P = 40%

x = 74

a = 0.05

p' = \frac{74}{200} * 100 = 37%

q' = 100 - p' = 100%- 37% = 63%

The Z score will be:

Z = \frac{p'-P}{\sqrt{\frac{p'.q'}{n}}} = \frac{37-40}{\sqrt{\frac{37*63}{200}}}

Z = -0.8787

From the distribution table,

p- value = 0.1932

Since our pvalue(0.1932) is greater than significance level(0.05), we fail to reject the null hypothesis. We can now say statistically, there is not enough evidence to conclude that the proportion of registered donors is less than 40%

Marat540 [252]3 years ago
6 0

Answer:

P value is 0.1932

conclusion is that find value P greater than hypothesis test at the 0.05 level

Step-by-step explanation:

Given data

registered organ donors P  = 40%

sample n = 200

registered organ donors x = 74

hypothesis test α = 0.05

to find out

P-value and state a conclusion

solution

we take a trail p less than 40 % i.e 0.40

so p = x/n

p = 74 / 200 = 0.37

so we find here Z value  i.e

Z = p - P / √(PQ/n)

here Q = 1-p = 1-0.40 = 0.60

so Z = 0.37 - 0.40 / √(0.40×0.60/200)

Z = - 0.866

so p value for Z (-0.866) from z table

P value is 0.1932

and conclusion is that find value P greater than hypothesis test at the 0.05 level

You might be interested in
3.52 in expanded form
Scrat [10]

Step-by-step explanation:

3.52 =

3

+ 0.5

+ 0.02

hopes this helps you

6 0
2 years ago
A box of 42 jelly beans contains 9 orange jelly beans. What is the probability that a randomly selected jelly bean will be orang
umka2103 [35]

Answer: 3/14

Step-by-step explanation: P(Orange jelly bean) = 9/42 = 3/14

7 0
3 years ago
A person invests 3000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how lon
joja [24]
jswkwbekegeo do six
3 0
2 years ago
What is the HCF of 96 and 108
mash [69]
The answer is 12 good luck;)
4 0
3 years ago
Plz help me :^(( tyy​
Whitepunk [10]
Plug in 1 for x
f(1) = |1-3| + 7
|1-3| = |-2| = 2
f(1) = 2 + 7
Solution: f(1) = 9
5 0
3 years ago
Other questions:
  • Last year a large trucking company delivered 9.0 × 105 tons of goods with an average value of $17,000 per ton. What was the tota
    8·1 answer
  • Operating on the triangle. using a straightedge, draw a random triangle. now carefully cut it out. next amputate the angles by s
    9·1 answer
  • Please help math question!
    12·1 answer
  • Susan, Chang, and Henry sent a total of 127 text messages over their cell phones during the weekend. Chang sent 3 times as many
    10·1 answer
  • The sum of two consecutive integers is -37 find the integers
    8·1 answer
  • Pls this is urgent<br><br>A. f(x)=4x-3<br>B.f(x)=2x+3<br>C.f(x)=3x+1<br>D.f(x)=3x-1​
    5·1 answer
  • Multiple Choice.
    15·1 answer
  • Pay:11.71 per hour<br>hours:11 hours per week​
    14·2 answers
  • 50 POINTS EACH HEEEEELP !!!!!
    13·2 answers
  • Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2x - 5, what key features do f(x) and g(x) ha
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!