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
vodomira [7]
3 years ago
6

The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49

:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies (i.e. observed number of cases) of blood type.
Blood type O A B AB
Frequency 87 59 20 4
Test the hypothesis that the proportions in this community do not differ significantly from those in the general population.
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0

Answer:

The proportions differ significantly from those in the general population.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170

against

Ha: pi≠ pi0 for at least one value of i= 1,2,3,4

The significance level is set at ∝= 0.05

The test statistic under H0 is

χ² = ∑ (Oi- ei)²/ei

which has approximate chi square distribution with 3d.f  (n-1)

Computations: Under H0 the expected frequencies are

np10= Blood type O = 170 * 49/100= 83.3

np20 = Blood type A = 170 * 38/100= 64.6

np30 = Blood type B = 170 * 20/100= 11.76

np40 = Blood type AB = 170 * 4/100= 2.35

The value of χ² is computed as follows

Cell       Observed         Estimated        (Oi-ei)            (Oi-ei)²   (Oi-ei)²/ei

             Frequency      Frequency  

               Oi                    ei

1             87                        83.3               3.7               13.69        0.157

2            59                      64.6              -5.6                 31.36       0.531

3             20                     34                  -14                   196           9.8

<u>4               4                      6.8                -2.8                  7.84         1.96       </u>

<u>∑             170                    188.7                                                  χ²= 12.43  </u>

<u />

The critical region is <u>χ</u>²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and

<u>χ</u>²≥ χ²(0.01,3) = 11.34  for alpha = 0.01

As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.

You might be interested in
HELP NEEDED ASAP! WOULD BE APPRECIATED
Kamila [148]

First, write an inequality equation:

0.25x + 0.1y = 2

There's your first answer. You got this!

6 0
3 years ago
Find the length of the third side. If necessary, write in simplest radical form.
Furkat [3]

Answer:

7

Step-by-step explanation:

3 0
2 years ago
3 loaves of bread cost 3.87 how much will 2 loaves cost
9966 [12]
$2.58 Hope the answer helped. :)

3 0
3 years ago
Read 2 more answers
I need help
Evgesh-ka [11]

Answer:

your

Step-by-step explanation:

account

DELETED :)

<u><em /></u>

<u><em>Enjoy the rest of your day lovebug, if helpful... dont hesitate to mark as brainliest! ;)</em></u>

5 0
2 years ago
F (6)=4*f (6-1)<br> f (-1)=4*f (-1-1)
kvasek [131]
Plug in the 6 and -1 to get the answers
f(6)=120
f(-1)= 8
3 0
3 years ago
Other questions:
  • find the elasped time from 10:11 to 5:34 pls show your work . A) 5hrs and 37mins , B) 4hrs , C) 5h 23mins , D) 4hr 37mins
    7·1 answer
  • PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    8·1 answer
  • Volume of a Cylinder
    9·1 answer
  • Y intercept of y=2x-3
    13·1 answer
  • You plan to put anti-theft devices on each garment in your store. You have 1,320 garments, and it takes an employee 20 seconds t
    15·2 answers
  • Evaluate each expression if a=-1, b=4,x=-2 and y=3<br><br> 2(6a-2b)-8x
    10·1 answer
  • 14. Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate
    9·1 answer
  • Perform the indicated operations:
    15·1 answer
  • Help me pleeeeeeeease
    8·1 answer
  • Please guys say me all answer correctly​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!