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
Mila [183]
3 years ago
12

Assume that 1100 births are randomly selected and exactly 556 of the births are girls. Use subjective judgment to determine whet

her the given outcome is​ unlikely, and also determine whether it is unusual in the sense that the result is far from what is typically expected.
Mathematics
1 answer:
Mariana [72]3 years ago
3 0

Answer:

The sample proportion for the births that are girls is 0.505. It is slightly higher than the expected value of 0.5, but the right way to answer if it is an unusual proportion is by performing an hypothesis test.

The hypothesis test results in not enough evidence to claim that the outcome is unlikely. This sample result has a probability of 0.7627 of appearing by pure chance in a population with proportion p=0.5.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion of girls birth differs significantly from the expected proportion (50%).

Then, the null and alternative hypothesis are:

H_0: \pi=0.5\\\\H_a:\pi\neq 0.5

The significance level is 0.05.

The sample has a size n=1100.

The sample proportion is p=0.505.

p=X/n=556/1100=0.505

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{1100}}\\\\\\ \sigma_p=\sqrt{0.000227}=0.015

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.505-0.5-0.5/1100}{0.015}=\dfrac{0.005}{0.015}=0.302

This test is a two-tailed test, so the P-value for this test is calculated as:

\text{P-value}=2\cdot P(z>0.302)=0.7627

As the P-value (0.7627) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of girls birth differs significantly from the expected proportion (50%).

You might be interested in
Help me answer for 11 points
Tcecarenko [31]

Answer:

Just Transposition...

Step-by-step explanation:

12×7=84=d

92-49=43=e

28+57=85=f

96÷16=6=g

11×8=88=h

95+5-29=100-29=71=I

55-6+21=70=j

88+8÷4=96÷4=16=k

19+24-97=-97-43=54=m

-20+17+61=61+3=64=n

hope it helps

4 0
3 years ago
My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y
ikadub [295]

Answer:

y(0) = 0.25 feet

y(\frac{1}{4}) = 0.0789 \text{ feet}

y(\frac{1}{2}) =-0.2003 \text{ feet}

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

y(t) = \displaystyle\frac{1}{4} \cos(5t)

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}

y(0) = 0.25 feet

2) t = \frac{1}{4}

y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059

y(\frac{1}{4}) = 0.0789 \text{ feet}

3) t = \frac{1}{2}

y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905

y(\frac{1}{2}) =-0.2003 \text{ feet}

The negative sign indicates the opposite direction of displacement.

3 0
3 years ago
A runner jogged 4 miles in ten laps around a circular
dybincka [34]

Answer:

.1273 mi = 627.2 feet

c = 2\pir

.4 = 2\pir

r = \frac{.4}{2\pi }

r = \frac{.2}{\pi }

d = \frac{.4}{\pi }

d = .1273 mi = 627.2 feet

Step-by-step explanation:

4 0
3 years ago
Please help me lol
Svetach [21]

Answer:

ATP is made for the instance so you don't run out of energy. Fat stores glycogen which can be broken down into glucose and turned into ATP. I don't know what you're asking specifically thought it's a bit jumbled.

6 0
3 years ago
Read 2 more answers
How do i do this??Please help due tomorrow
Klio2033 [76]
For the range:
5, infinity
3 0
2 years ago
Other questions:
  • The function y=6+1.25x can be used to find the cost of joining an online music club and buying x songs. Which statement is true
    11·1 answer
  • What is Perfect squares?
    15·2 answers
  • Which describes the amount of product a seller is able to make?
    15·1 answer
  • What is 1,345/99 rounded to the nearest integer?
    8·1 answer
  • The Brown's are renting a home and are planning to set up their trash service. They are considering two local companies. Company
    14·2 answers
  • ABC company’s stock dropped from 25 3/8 to 22 1/4 during a one month period of time.. How much did ABC’s stock fall during this
    7·1 answer
  • HELP ME WILL GIVE BRAINLIEST ​
    6·1 answer
  • A = p + prt solve for t
    5·1 answer
  • A rectangular prism has volume 5,760 cubic meters, length 8 meters, and width 36 meters. Find its height, in meters.
    7·1 answer
  • How do I do this????​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!