7 × 10^7 in standard form

An online health and medicine company claims that about 50% of Internet users would go to an online sight first for information

olga55 [171]

Answer:

The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.

Step-by-step explanation:

Test the claim that less than 50% of Internet users get their health questions answered online.

At the null hypothesis, we test that 50% of Internet users get their health questions answered online, that is:

$H_0: p = 0.5$

At the alternate hypothesis, we test that this proportion is less than 50%, that is:

$H_a: p < 0.5$

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.

0.5 is tested at the null hypothesis:

This means that $\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5$

A random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet.

This means that $n = 1318, X = \frac{606}{1318} = 0.4598$

Test statistic:

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

$z = \frac{0.4598 - 0.5}{\frac{0.5}{\sqrt{1318}}}$

$z = -2.92$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.4598, which is the p-value of z = -2.92.

Looking at the z-table, z = -2.92 has a p-value of 0.0018.

The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.

8 0

3 years ago

Helphelphelphelphelp

VashaNatasha [74]

The ratio is supposed to be pennies to total amount of coins. The total amount of coins--including pennies--is 16. This can be proven by this equation:

5 + 6 + 5 = 16

Now you put the ratio together by taking the amount of pennies (5) and total amount of coins (16). Your ratio should look like this:

5:16

Hope I helped you out! ❤❤

4 0

4 years ago

In the adjoining figure, area of trangle ABC is

Zepler [3.9K]

Answer:

$PQ=4\ cm$

Step-by-step explanation:

see the attached figure with the letter D to better understand the problem

we know that

The segment side AD is the height of triangle ABC

so

Triangles PBQ and ABD are similar by AA Similarity Theorem

The area of triangle ABC is equal to

$A=\frac{1}{2}(BC)(AD)$

we have

$A=48\ cm^2\\BC=12\ cm$

substitute

$48=\frac{1}{2}(12)(AD)$

$AD=8\ cm$

Remember that

If two triangles are similar then the ratio of its corresponding sides is proportional

so

$\frac{BP}{AB}=\frac{PQ}{AD}$

substitute the given values

$\frac{BP}{2BP}=\frac{PQ}{8}$

$\frac{1}{2}=\frac{PQ}{8}$

$PQ=4\ cm$

3 0

3 years ago

In the triangle DEF, DG = 10 cm. What is CG?

hichkok12 [17]

5 cm is the correct answer it would be half of DG

3 0

4 years ago

A square park has an area of 1⁄16 square miles and a length of 1⁄4 mile. What is the width of the park?

Vikentia [17]

Width: 1/4 Explanation: First you set up the problem as 1/16 divided by 1/4, then you change the division sign to multiplication and then you flip the second fraction which is 1/4, you should have 4/1, next you have a problem like 1/16 x 4/1 1x4= 4 and 16x1=16, did you get 1/4 as your product? If you didn’t, repeat the steps and try as many times until you get it, it is the only way to learn. Thank you for asking this question and have a great Evening! :)

4 0

3 years ago