3 x 10 + 2 x 1 + 6 x 1/100 +4 x 1/1000 is the expanded form of which decimal?

Rico tried to solve an equation step by step.

Hitman42 [59]

N+12=18.2
-12. -12
N=6.2

4 0

3 years ago

What is your favorite color? A larger survey of countries, including the United States, China, Russia, France, Turkey, Kenya, an

prohojiy [21]

Answer:

$z=\frac{0.253 -0.24}{\sqrt{\frac{0.24(1-0.24)}{75}}}=0.264$

$p_v =2*P(z>0.264)=0.792$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of students said that blue is their favorite color is not different from 0.24

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

X=19 represent the students said that blue is their favorite color

$\hat p=\frac{19}{75}=0.253$ estimated proportion of students said that blue is their favorite color

$p_o=0.24$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is different from 0.24.:

Null hypothesis: $p=0.24$

Alternative hypothesis: $p \neq 0.24$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.253 -0.24}{\sqrt{\frac{0.24(1-0.24)}{75}}}=0.264$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>0.264)=0.792$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of students said that blue is their favorite color is not different from 0.24

7 0

3 years ago

The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with a

Naya [18.7K]

Answer:

P(X<240)=0.0521

P(240<X<270)=0.5466

280 days

Step-by-step explanation:

we are given the following information

mean=μ=266 days

standard deviation=σ=16 days

P(X<240)=P(X-μ/σ<240-266/16)=P(z<-1.625)

This probability can either be determined by utilizing normal distribution table or using Excel.

Using Excel function NORM.S.DIST(-1.625,TRUE) we get

P(X<240)=0.0521

P(240<X<270)=P((240-266)/16<X-μ/σ<(270-266)/16)=P(-1.625<z<0.25)

P(-1.625<z<0.25)=P(z<0.25)-P(z<-1625)

Using Excel function

NORM.DIST(270,266,16,TRUE)-NORM.DIST(240,266,16,TRUE) we get

P(240<X<270)=0.5466

P(X>x)=0.20

P(z>(x-266)/16)=0.20

Using Excel function NORM.INV(0.8,266,16) we get

x=280

OR

P(X>x)=0.2

The area to the right of x is 0.2 and the area between mean and x is

0.5-0.2=0.3

Looking for 0.3 in the normal distribution table we don't find 0.3 but the closest value is .3023 and it corresponds to z-value 0.85.

z=0.85

z=x-μ/σ

σ*z+μ=x

x=16*0.85+266

x=279.6≅280

The longest 20% of pregnancies lasts 280 days

4 0

4 years ago

Colton scored a 70 on his first history test of the term and a 91 on the second history test. By what percent did Colton's score

Ilya [14]

Answer:

20%

Step-by-step explanation:

8 0

3 years ago

7.54×10³ im so stuck

LekaFEV [45]

Answer:

7540

Step-by-step explanation:

10 raised to the power of 3 is 1000

7.54 * 1000 = 7540

3 0

3 years ago

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