Mathematics, 03.01.2020 05:31 lettymartinez6842

Arandom sample of 100 high school students was surveyed regarding their favorite subject. the following counts were obtained: favorite subject number of students english math science 30 art/music the researcher conducted a test to determine whether the proportion of students was equal for all four subjects. what is the value of the test statistic? o b. 25 d. -4 how many degrees of freedom does the chi-square test statistic for a goodness of fit have when there are 10 categories? a. 74 d. 62

Answers: 2

Show answers

Answers

Answer from: ALGEBRAHELP9504

a) $\chi^2 = \frac{(25-25)^2}{25}+\frac{(30-25)^2}{25}+\frac{(30-25)^2}{25}+\frac{(15-25)^2}{25}=6$

b) df=Categories-1=10-1=9

Step-by-step explanation:

We assume the following info:

Favorite Subject Number of students

English 25

Math 30

Science 30

Art/Music 15

Total 100

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Part a

The system of hypothesis on this case are:

H0: There is no difference with the distribution proposed

H1: There is a difference with the distribution proposed

The level os significance assumed for this case is $\alpha=0.05$

The statistic to check the hypothesis is given by:

$\chi^2 =\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

The table given represent the observed values, we just need to calculate the expected values are 25 for each category.

And the calculations are given by:

$E_{English} =25$

$E_{Math} =25$

$E_{Science} =25$

$E_{Music} =25$

And now we can calculate the statistic:

$\chi^2 = \frac{(25-25)^2}{25}+\frac{(30-25)^2}{25}+\frac{(30-25)^2}{25}+\frac{(15-25)^2}{25}=6$

Now we can calculate the degrees of freedom for the statistic given by:

df=Categories-1=4-1=3

And we can calculate the p value given by:

$p_v = P(\chi^2_{3} 6)=0.112$

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(6,3,TRUE)"

Part b

For this case we have this formula:

df=Categories-1=10-1=9

Answer from: Quest

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

Answer from: Quest

At a constant it will take one hour to travel 32 mi.at that speed it will take 1/2 hr to travel the remaining 16 mi.it will take 1+1/2 hr to travel the 48mi @ 32mph.so 1 hr = 60 min& 1/2 hr = 30 min1+1/2 hr = 90 min.there are 60s in each 90 × 60 = 3600 seconds.the real question seriously is he why are they driving so slow? ! lol.

Another question on Mathematics

Mathematics, 21.06.2019 17:00

Let f(x)=2x and g(x)=2x. graph the functions on the same coordinate plane. what are the solutions to the equation f(x)=g(x) ?me asap

Answers: 2

Answer

Mathematics, 21.06.2019 17:30

Subscriptions to a popular fashion magazine have gone down by a consistent percentage each year and can be modeled by the function y = 42,000(0.96)t. what does the value 42,000 represent in the function?

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

Does anyone know how to do geometryme with this problem

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Tessa bought stock in a restaurant for $253.00. her stock is now worth $333.96. what is the percentage increase of the value of tessa's stock? a.) 81% b.) 32% c.) 24% d.) 76%

Answers: 1

Answer

You know the right answer?

Arandom sample of 100 high school students was surveyed regarding their favorite subject. the follow...

Questions