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
musickatia [10]
3 years ago
6

in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine

, the rate of flu infection was just 3.5%. What conclusion should you draw?​

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}

Step-by-step explanation:

<em>Step 1: Define significance level</em>

In this hypothesis testing problem, significance levels α is selected: 0.05, the associated z-value from Laplace table:

Φ(z) = α - 0.5 = 0.05 - 0.5 = -0.45

=> z = -1.645

<em>Step 2: Define null hypothesis (</em>H_{0}<em>) and alternative hypothesis (</em>H_{1}<em>)</em>

H_{0} : rate of flu infection p = 8.3% or 8.3/100 = 0.083

H_{1} : rate of flu infection p < 8.3% or 8.3/100 = 0.083

<em>Step 3: Apply the formula to check test statistic:</em>

K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}

with f is actual sampling percent, p is rate of flu infection of H_{0}, n is number of samples.

The null hypothesis will be rejected if K < z

<em>Step 4: Calculate the value of K and compare with </em>z

K = \frac{(\frac{3.5}{100})  - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46  

We have -2.46 < -1.645

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As H_{1} states)

Hope this helps!

:)

You might be interested in
for v= 4i - 5j, find unit vector u in the direction of v, and write your answer as a linear combination of the standard unit vec
umka21 [38]

Answer:

a. u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}

Step-by-step explanation:

The given vector is v= 4i - 5j

The magnitude of this vector is;

|v|=\sqrt{(-4)^2+(-5)^2}

|v|=\sqrt{16+25}

|v|=\sqrt{41}

The unit vector u in the direction of v is;

u=\frac{v}{|v|}

u=\frac{4i - 5j}{\sqrt{41}}

u=\frac{4i }{\sqrt{41}}-\frac{5j}{\sqrt{41}}

We rationalize to get

u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}

4 0
3 years ago
Read 2 more answers
What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20" id="TexFormula1" title=" \frac{3}{5} " alt=" \frac{3}
Ilia_Sergeevich [38]

Answer:

9

Step-by-step explanation:

3/5 * 15

Rewriting as

3 * 15/5

3 * 3

9

3 0
2 years ago
Read 2 more answers
1/2ac2 where a =5 and b=2​
Evgen [1.6K]
I’ll assume the c is b. (1/2) x (5) x (2) x (2) is 10
8 0
2 years ago
Read 2 more answers
What is the slope of the line
Alexxandr [17]
(2,2) (-1,4) I think
5 0
3 years ago
What is the answer? Because I really need this grade
DENIUS [597]
You just add 8,707.37 on top of Mt. KcKinley :)
8 0
3 years ago
Read 2 more answers
Other questions:
  • At a high school, 18% of the students play football and 6% of the students
    15·1 answer
  • In one day a movie store rented out 32 comedies. If the ratio of comedies to action movies rented was 8:7, how many action movie
    12·1 answer
  • Angelo rode his bike around a bike trail that was 1/4 of a mile long. He rode his bike around the trail 8 times. Angelo says he
    14·1 answer
  • What is 7÷794=??? ANSWER!!!
    15·2 answers
  • What is 9/3 equal to
    5·2 answers
  • PLZ HELP <br> What is the best interpretation of P(3) =12
    7·2 answers
  • In how many ways can a store select 2 assistant managers out of 6 assistant managers to open and close the store?
    7·2 answers
  • I’m having a hard time tryna get the answer. Help? <br> (Y+2) times (x+4-5)
    15·1 answer
  • Solve the equation y + 5=-12 <br> A y=-19<br> B y=-17<br> C y=-7<br> D y=7
    5·2 answers
  • 8 1/4 divied by d = 2/11 what is d
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!