A gym allows members to attend two free strength-building classes each month as part of their $40 monthly membership fee. If the
y want to attend additional classes during the month they must pay for each additional class they attend. The table below is shows the total amount of money the member will pay at the gym for each additional strength-building class they attend. What is the slope of the line that models this situation?
1 answer:
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Answer:
1)
2)
Where c represent the number of categories c=2
Step-by-step explanation:
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".
Assume the following dataset:
Tall =30 , Short =20
We need to conduct a chi square test in order to check the following hypothesis:
H0: The deviations from a 1:1 ratio (25 tall and 25 short) are due to chance.
H1: The deviations from a 1:1 ratio (25 tall and 25 short) are NOT due to chance.
Part 1
So then we know that the expected values would be 25 for each case
The statistic to check the hypothesis is given by:
And if we replace we got:
Part 2
For this case the degreed of freedom are given by:
Where c represent the number of categories c=2
And we can calculate the p value given by:
And we can find the p value using the following excel code:
"=1-CHISQ.DIST(2,1,TRUE)"