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
Arisa [49]
2 years ago
9

One hundred rats with mothers that were exposed to high levels of tobacco smoke during pregnancy were put through a simple maze.

At the outset, the maze required the rats to make a choice between going left and going right. Eighty of the tats went right when running the maze for the first time. Assume that the 100 rats can be considered an SRS from the population of all rats born to mothers who were exposed to high levels of tobacco smoke during pregnancy. (Note that this assumption may or may not be reasonable, but researchers often assume that lab rats are representative of large populations because they are often bred to have uniform characteristics.) Let p be the proportion of rats in this population that would go right when running the maze for the first time. Determine a 90% confidence interval for p. Show as much work as is possible.
Mathematics
1 answer:
Paul [167]2 years ago
3 0

Answer:

The 90% confidence interval for pis (0.7342, 0.8658).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

100 rats mothers, 80 went right. So n = 100, \pi = \frac{80}{100} = 0.8

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 1.645\sqrt{\frac{0.8*0.2}{100}} = 0.7342

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 1.645\sqrt{\frac{0.8*0.2}{100}} = 0.8658

The 90% confidence interval for pis (0.7342, 0.8658).

You might be interested in
Y+5=9/2(x+7) in standard form
ZanzabumX [31]

Answer:

2x-y=-1

Step-by-step explanation:

y + 9 = 2(x + 5)

y + 9 = 2x + 10 [distribute]

y = 2x + 1 [subtract 9 from both sides]

y - 2x = 1 [subtract 2x from both sides]

-2x + y = 1 [put x first]

2x - y = -1 [multiply by -1 to make x coefficient positive]

7 0
3 years ago
f a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8%, can we use the Normal a
Troyanec [42]

Answer:

Probability of at least 50 obese individuals in our sample is 0.92364 .

Step-by-step explanation:

We are given that a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8% .

Let X = Number of obese individuals

Firstly, X ~ Binom(n=300,p=0.198)

For approximating binomial distribution into normal distribution, firstly we have to calculate \mu and \sigma^{2} .

Mean of Normal distribution, \mu = n * p = 300 * 0.198 = 59.4

Variance of Normal distribution,\sigma^{2} = n * p * (1-p) = 300 *0.198 *0.802 = 47.64

So, now X ~ N(\mu = 59.4 , \sigma^{2} = 47.64)

The standard normal z score distribution is given by;

                     Z = \frac{X-\mu}{\sigma} ~ N(0,1)

So, probability of at least 50 obese individuals in our sample = P(X >= 50)

  P(X >= 50) = P(X > 49.5)  {using continuity correction}

  P(X > 49.5) = P( \frac{X-\mu}{\sigma} > \frac{49.5 - 59.4}{6.9} ) = P(Z > -1.43) = P(Z < 1.43) = 0.92364

Therefore, required probability is 0.92364 .

8 0
3 years ago
Seperate the number 53 into 3 parts so that the second number is 3 less than the first number and the third number is twice the
irga5000 [103]
Hello,

Let a the first, b the second and c the third.
a+b+c=53
b=a/3
c=2a
==>a+a/3+2a=53
==>10a/3=53
==>a=15.9
c=2*a=2*15.9=31.8
b=a/3=15.9/3=5.3

Proof: a+b+c=15.9+5.3+31.8=53

The second number is 5.3
7 0
3 years ago
22. I = Prt; P<br><br> What do I first? It says to solve the equation for the given variable.
LuckyWell [14K]

<em>the</em><em> </em><em>fir</em><em>st</em><em> </em><em>thing</em><em> </em><em>you</em><em> </em><em>nee</em><em>d</em><em> </em><em>to</em><em> </em><em>do</em><em> </em><em>is</em>

<em>div</em><em>ide</em><em> </em><em>the</em><em> </em><em>who</em><em>le</em><em> </em><em>equ</em><em>ation</em><em> </em><em>by </em><em>rt</em><em> </em><em>as</em><em> </em><em>sh</em><em>own</em><em> </em><em>bel</em><em>ow</em>

<em>\frac{i}{rt}  =  \frac{prt}{rt}</em>

<em>then</em><em> </em><em>you</em><em> </em><em>cance</em><em>l</em><em> </em><em>ou</em><em>t</em><em>.</em><em> </em><em>leav</em><em>ing</em>

<em>\frac{i}{rt}  = p</em>

<em>which</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>sam</em><em>e</em><em> </em><em>as</em>

<em>p =  \frac{i}{rt}</em>

3 0
2 years ago
can someone help me with this i'm really confused heh... i'll give you a 5 star rating and brainliest answer!​
lutik1710 [3]
1. m= 4/9
2. m=4
3. m=-11
4. m=1/2
7 0
3 years ago
Other questions:
  • Determine the slope and the y-intercept. y = -5/2x - 2
    11·1 answer
  • Whats the slope of (-3,-2) and (5,4)
    14·2 answers
  • Rosa saw ducks and cows at a farm. In all, she counted 9 animals and 28 legs. How many ducks and how many cows did she see?
    15·2 answers
  • PLEASE HELP QUICKLY!!!!!!
    8·1 answer
  • Write an equation of a parabola with a vertex at the origin and a directx at y=5
    7·1 answer
  • the ratio of the measures of the three angles in a triangle is 10:3:7 find the measure of the largest angle
    11·1 answer
  • It takes Caroline 1/5 of an hour to walk a mile. Four of Caroline's friends time themselves on their own walks of different leng
    7·1 answer
  • Diana got back her math quiz but Ms. Signer forgot to calculate her final grade. If the quiz had a total of 20 questions on it,
    15·1 answer
  • How many people u think be on this app every day 10million or 1million?
    8·1 answer
  • Suppose that x has the density function f(x) = cx 0 &lt; x &lt; 2 identify c
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!