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
FromTheMoon [43]
3 years ago
8

A medical researcher claims that 10 % of children suffer from a certain disorder. Identify the type I error for the test.

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0

Answer:

D: Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.

Step-by-step explanation:

In statistics, type I error is when we reject the null hypothesis even when it is true.

Now, the claim which is the null hypothesis is that that 10 % of children suffer from a certain disorder.

This means that a type I error will be;

Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.

You might be interested in
There are 16 tablespoons in 1 cup. How many tablespoons of cornstarch would Chery need to make the green slimerecipe 15 time?
jeyben [28]
240!
16 xs 15 = 240

please vote me brainliest! :)
8 0
3 years ago
Read 2 more answers
A museum conducts a survey of its visitors in order to assess the popularity of a device which
Natali5045456 [20]

Answer:

i:

The appropriate null hypothesis is H_0: p \geq 0.2

The appropriate alternative hypothesis is H_1: p < 0.2

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

ii:

The p-value of the test is 0.1057

Step-by-step explanation:

Question i:

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it.

At the null hypothesis, we test if the proportion is of at least 20%, that is:

H_0: p \geq 0.2

At the alternative hypothesis, we test if the proportion is less than 20%, that is:

H_1: p < 0.2

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that \mu = 0.2, \sigma = \sqrt{0.2*0.8} = \sqrt{0.16} = 0.4.

The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors, 15 chose to use the device.

This means that n = 100, X = \frac{15}{100} = 0.15

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.15 - 0.20}{\frac{0.4}{\sqrt{100}}}

z = -1.25

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.

Looking at the z-table, z = -1.25 has a p-value of 0.1057.

The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.

Question ii:

The p-value of the test is 0.1057

7 0
3 years ago
If an integer n has three unique prime divisors, then it follows that the largest prime divisor of n is less than or equal to cu
TiliK225 [7]

Answer:

False

Step-by-step explanation:

Lets call the three prime divisors of n p, q, and r, being r the largest, we know:

n=q * p * r

Now, if

q * p < r

then

n < r * r = r^2

So:

\sqrt{n} < \sqrt{r^2} = r

Also, for every natural greater than one, we know:

\sqrt[3]{n}

so

\sqrt[3]{n}

from which:

\sqrt[3]{n} < r

So, we see, this means the preposition is false, we can find a particular counterexample:

q=2

p=3

p*q = 6

We need to choose a prime greater than 6

r=7

n= 2 * 3 *7 = 42

\sqrt[3]{42} = 3.4760 < 7

4 0
3 years ago
Find the length of AC to the nearest tenth of a meter. 6pts
joja [24]
Ac is 7 because it is a right angle

4 0
3 years ago
Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B
marishachu [46]
Time it took runner A to complete the marathon = 26.2 / 5.6 = 4 hrs 41 mins
Time it took runner B to complete the marathon = 26.2 / 6.4 = 4 hrs 6 mins

Time it took runner B to complete the marathon relative to when runner A started = 30 mins + 4 hrs 6 mins = 4 hrs 36 mins

Therefore, runner B will finnish ahead of runner A.

Let x be the time the two runners are at the same point, then
5.6x + 5.6(0.5) = 6.4x
6.4x - 5.6x = 2.8
0.8x = 2.8
x = 2.8/0.8 = 3.5
Therefore, runner B will catch up with runner A 3.5 hours after runner A starts the race.
<span>Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.</span>

5 0
3 years ago
Other questions:
  • Help me with these two questions , please they are due in some hours
    11·1 answer
  • If a b and c d which pair of angles are congruent
    12·1 answer
  • Henry has a new album for his baseball cards. Some of the pages hold 6 cards and the other pages hold 3 cards. If Henry has 36 c
    9·1 answer
  • The rate of change is constant in the graph Find the rate of change Explain what the rate of change means for the situation
    8·2 answers
  • A bag of candy has a guaranteed ratio of 4:3 caramels to toffee. If a bag has 21 toffees in it, how many caramels are in the bag
    13·1 answer
  • The volume of a cylinder is 24 cubic feet. What is the volume of a cone having the same base and same height?
    14·1 answer
  • Find the value of x 0.2(x + 50) = 1.2x =14
    12·1 answer
  • Write a word problem that would make an equation <br><br> Please help
    11·1 answer
  • A city Carnival has an entry fee of $15. Each Carnival ride cost $7.50. Write a Linear Equation that can be used to solve for to
    15·1 answer
  • 7x + 4(x+5)<br> I will give brainliest to first person who answers!!!!!!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!