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
aniked [119]
3 years ago
8

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 340 babies were​ born, a

nd 289 of them were girls. Use the sample data to construct a 99​% confidence interval estimate of the percentage of girls born. Based on the​ result, does the method appear to be​effective?(__)<(__) ​(Round to three decimal places as​ needed.)Does the method appear to be​effective?a)No​,the proportion of girls is not significantly different from 0.5.b)Yes, the proportion of girls is significantly different from 0.5.
Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0

Answer:

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

b)Yes, the proportion of girls is significantly different from 0.5.

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 interval 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:

In the study 340 babies were​ born, and 289 of them were girls. This means that n = 340, \pi = \frac{289}{340} = 0.85

Use the sample data to construct a 99​% confidence interval estimate of the percentage of girls born.

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 - 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.80

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 + 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.90

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

Does the method appear to be ​effective?

b)Yes, the proportion of girls is significantly different from 0.5.

You might be interested in
PLEASE HELP I NEEEED THIS CORRECT ANSWER NOW PLEASE I PROMISE IF YOU ARE CORRECT I WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
Helen [10]

Answer:

Step-by-step explanation:

a

3 0
3 years ago
Read 2 more answers
write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4
VashaNatasha [74]

Answer:

y= -3x + 8

Step-by-step explanation:

Put -2x + 6y = -4 into slope-interceltp form

Take the negative reciprocal of the slope.

Use this reciprocal in point-slope form

and you have,

= y= -3x + 8

<em>(EDITED)</em> Steps:

2x+6y = -4

6y=2x - 4

y= 1/3x + 2/3

if two lines are perpendicular,

m1 * m2 + -1

1/3 * m2 = -1

m2 = -3

the line perpendicular to this line is

y = -3x + k ; k ∈ R

the line passes through the point (5,-7)

so,

-7 = -3. (5) +k

-7 = -15 + k

k = 8

∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is

y= -3x + 8

Hope this helps, have a nice day/night! :D

6 0
2 years ago
Find the product of 4 ⅖ and 3 ⅓
Step2247 [10]
14.66 if it’s needed in decimal form
7 0
3 years ago
Read 2 more answers
What is the center of the circle given by the equation (x-2)^2 + (y+4)^2 = 6
Kay [80]
The equation of circle with center (g,f) and radius r is given by,
(x-g)² + (y-f)² = r²

Now, compare equation (x-2)² + (y+4)² = 6 with the above equation.
g = 2 and f = -4
Therefore, center of the circle is (2,-4)
8 0
3 years ago
Read 2 more answers
The functions f (x)=−3/4x+2 and g (x)=(1/4)ˣ+1 are shown in the graph.
nlexa [21]
The graphs cross at x=0 and x=1. Those are the solutions to f(x) = g(x).
3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the 6 trìg functions
    11·1 answer
  • On friday 1/6 of band pracitce was spent trying on uniforms. the band spent 1/6 of practice on marching, the remaining practice
    10·1 answer
  • Teo spins the spinner 120 times. He expects to land on one particular color 30 times. What color is it?
    14·1 answer
  • What is the common difference or common ratio of the sequence 2,5,8,11...? A. 1 B. 3 C. 5 D. 7
    11·2 answers
  • (3Q) Find the amplitude and period of f(t)= -tan.0t
    13·1 answer
  • (3x - 2)³= <br>gives the solution pls.​
    12·2 answers
  • What percent of the values are between 10 and 30? Round to the nearest tenth of a percent if necessary.
    9·1 answer
  • Can someone help me with this?! thanks!!
    7·2 answers
  • What number should be added to both sides of the following equation to solve for x?
    12·2 answers
  • 5) The bakers at Healthy Bakery can make 160 bagels in 5 hours. How many
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!