-Round the following number to a whole number a. 101.01

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

Calculate the density of a block of metal with a volume of 12.5 cm3 and mass of 126.0 g

WITCHER [35]

Answer:

Gave the answer in chemistry section)

8 0

3 years ago

Determine if the two triangles are congruent. If they are, state how you know.

KIM [24]

Answer:

Well i dont know what all the sides/angles are called but no they are not congruent.

Step-by-step explanation:

Congruent, means for the 2 objects, shapes, etc. to be exactly the same. If you look at the triangles, they are not the same shape of triangle.

7 0

3 years ago

What is the multiplicative inverse of -1/9

Sedaia [141]

A multiplicative inverse is the same thing as a reciprocal, which is basically just flipping the fraction and changing the sign. Therefore the multiplicative inverse of -1/9 is 9

7 0

3 years ago

Read 2 more answers

Someone please give me the answers for this lol

Lana71 [14]

Answer:

A is the correct answer.

Step-by-step explanation:

y and x meet on those numbers. And i did the test.

hope this helps

8 0

3 years ago