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3 years ago

10

How is 0.004 the same as and different from 0.444?

2 answers:

Lorico [155]3 years ago

8 0

Answer:both are in thousandths place,in the thousandths place both have 4 as a value

Step-by-step explanation:

Katarina [22]3 years ago

3 0

Answer:

Step-by-step explanation:

Given : 0.004 and 0.444.

To find : How is 0.004 the same as and different from 0.444.

Solution : We have given 0.004 and 0.444.

In 0.004

We can see tenth place digit is 0.

Hundredth place digit is 0

Thousandth place digit is 0.

In 0.444.

We can see here tenth place is 4

Hundredth place digit is 4

Thousandth place digit is 4.

We can conclude that 0.444 is greater than 0.004.

Therefore, 0.444 is greater than 0.004.

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3 years ago

A recent study examined hearing loss data for 1981 U.S. teenagers. In this sample, 369 were found to have some level of hearing

ruslelena [56]

Answer:

There is no enough evidence to support the claim that the proportion of US teens that have some level of hearing loss differs from 20%.

P-value=0.12

Step-by-step explanation:

We have to perform a test of hypothesis on the proportion.

The claim is that the proportion of US teens that have some level of hearing loss differs from 20%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.20\\\\H_a:\pi\neq0.20$

The significance level is assumed to be 0.05.

The sample, of size n=1981, has 369 positive cases. Then, the proportion is:

$p=X/n=369/1981=0.186$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.2*0.8}{1981}}=\sqrt{ 0.000081 }= 0.009$

Now, we can calculate the statistic z:

$z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.186-0.20+0.5/1981}{0.009}=\dfrac{-0.014}{0.009}=-1.556$

The P-value for this two-tailed test is:

$P-value=2*P(z$

The P-value is below the significance level, so the effect is not significant. The null hypothesis failed to be rejected.

There is no enough evidence to support the claim that the proportion of US teens that have some level of hearing loss differs from 20%.

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3 years ago