PLS HELP AGAIN ASAP THIS THE SECOND TO LAST PROBLEM ON MORE AFTER THIS

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 probability of getting a white marble from a bag is 1/5. If there are 37 white marbles in the bag, what is the total number

Svetradugi [14.3K]

Jsksbsjsmsnskkdsnjdjsjdjxj

7 0

3 years ago

Plsss hello me I’m going to get a whooping !!

tatuchka [14]

Answer:

411, 467, 523

Step-by-step explanation:

add 56 to each cycle

411+56 = 467

467+56 = 523

8 0

2 years ago

Read 2 more answers

What's the numerator for the following rational<br> expression?<br> j/k + 1/k = ?/k

lys-0071 [83]

Answer:

j+1

Step-by-step explanation:

j/k + 1/k = ?/k

Since the denominator is the same, we can add the numerators

j/k + 1/k = ?/k

(j+1)/k = ?/k

7 0

2 years ago

(-12)÷6+2 pls help math is hard for me

SVEN [57.7K]

The Answer is -3/2

Below is how I got that answer

(-12) / 6+2

-12/ 8 (Simplify the problem by adding 6 and 2, remove the parenthesis).

-3/2 (Simplify -12/8 by dividing it by 4)

4 0

2 years ago