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
gizmo_the_mogwai [7]
3 years ago
7

) Beth wants to determine a 99 percent confidence interval for the true proportion p of high school students in the area who att

end their home basketball games. Out of n randomly selected students she finds that that exactly half attend their home basketball games. About how large would n have to be to get a margin of error less than 0.01 for p
Mathematics
1 answer:
Lunna [17]3 years ago
6 0

Answer:

n has to be at least 16577.

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}.

The margin of error is:

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

Out of n randomly selected students she finds that that exactly half attend their home basketball games.

This means that \pi = 0.5

99% confidence level

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.

About how large would n have to be to get a margin of error less than 0.01 for p

We have to find n for which M = 0.01. So

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

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

n = 16576.6

Rounding up

n has to be at least 16577.

You might be interested in
What is the difference between 1 and o.1978​
Vlad1618 [11]

Answer:

0,8022

Step-by-step explanation:

guess it helped

6 0
3 years ago
Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
elena-s [515]
<h3>There are 2 answers: choice C, choice D</h3>

====================================================

Explanation:

32% = 32/100 = 0.32

32% of 400 = 0.32*400 = 400(0.32), which adds onto the original 400 to get 400+400(0.32). This is why choice D is one of the answers.

We can factor out the GCF 400 to go from 400+400(0.32) to 400(1+0.32) which then simplifies to 400(1.32) or just 400*1.32. This shows choice C is the other answer. Using a calculator,

400+400(0.32) = 400 + 128 = 528

400*1.32 = 528

meaning that 400+400(0.32) = 400*1.32

The other answer choices result in other values, showing that they aren't equivalent to 528.

6 0
3 years ago
What is the qoutient of 1/6 and 2/9
beks73 [17]

Answer:

\frac{3}{4}

Step-by-step explanation:

To find the quotient, we first need to know what quotient means.

Quotient is the solution to division problems.

So here is how we have to do this, first we identify our fractions:

\frac{1}{6}   and    \frac{2}{9}

Next, we must turn the fraction we are dividing by into a reciprocate:

\frac{2}{9} turns into \frac{9}{2}

Now we have \frac{1}{6} and \frac{9}{2}

Next, we multiply!:

\frac{1}{6} x \frac{9}{2} = \frac{9}{12}

Simplified:

\frac{3}{4}

8 0
3 years ago
Read 2 more answers
Find q if p = -12 and the quotient p/q = -3.
s2008m [1.1K]

The quotient to p/q = -3 is 4

3 0
3 years ago
Please somone helppppp
Lyrx [107]

Answer:

its an open circle on -2 and the line is to the right

Step-by-step explanation:

-2x=4

x=4/-2=-2

and the sign is the same and its an open dot because its not greater too or equal to

6 0
3 years ago
Read 2 more answers
Other questions:
  • Write a ratio value comparing 3 to a number, where the value of the ratio is greater than 3:5.
    13·1 answer
  • What is the MAD for 10,3,7,8,2,0,10,5?
    7·2 answers
  • The price of apples is $5.60 for 4 pounds. write the price as a unit rate.
    7·2 answers
  • The park family was traveling to Disney world on vacation. They drove 487.5 miles in 7.5 hours.at this rate how many miles did t
    12·1 answer
  • The support for a window air conditioning unit forms a triangle and an exterior angle. What is the measure
    10·2 answers
  • Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vec
    7·1 answer
  • Help please. help please. Below please
    10·1 answer
  • Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of miles/hour. The highwa
    6·1 answer
  • Answer please correctly
    12·2 answers
  • As strange as it may seem, it is possible to give a precise-looking verbal definition of an integer that, in fact, is not a defi
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!