Statistics Question Chi test

Part A

1. Suppose that in a typical week the number of absences from a large high school was 805. About how many would you expect per day? How were the expected number of absences calculated? Explain your reasoning. 

Mon

Tus

Wed

Thu

Fri

(Total)

 

 

 

 

 

805

2. The school wants to see whether student absences are the same on different days of a randomly selected week of school. What would be the hypothesis for testing? Explain your answer. 

Following table shows the number of observed absences per day of the week. 

Mon

Tus

Wed

Thu

Fri

(Total

173

157

138

149

188

805

 

3. How do the observed number of absences compare to your answer in question 1? 

4. A chi-squared test statistic is found by summing the   LaTeX: \frac{\left(observed-expected\right)^2}{expected}

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o

b

s

e

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v

e

d

−

e

x

p

e

c

t

e

d

)

2

e

x

p

e

c

t

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d

 values. Because the differences (observed – expected) are squared, the answer will always be positive. Find the Chi-squared Test statistic for this example.

5. In the case of the chi-square test, the degrees of freedom is equal to the number of terms/outcomes used in calculating chi-square minus one. There were five terms in the chi-square for this problem - therefore, the degrees of freedom is four. You can find the critical value using Table or =CHISQ.INV.RT, or find p-value using =CHISQ.TEST.

Rules of making a decision to reject or fail to reject your null hypothesis are same with others. Explain what your conclusion means. Does your chi-square analysis support the hypothesis that student absences are the same on different days of a randomly selected week of school?

Part B

We have 50% males and female in our data. If gender is independent of our question about Dancing With The Starts, how many males should we expect to answer Yes to the question about Dancing With The Starts?  Explain how did you get the answer, and fill in the rest of the table 1. Just in case if you don’t know the show visit this page (Links to an external site.)Links to an external site..  

Table 1

 

Yes, I watch 

Dancing With The Starts

No, I do not watch 

Dancing With The Starts

Male

100

Female

100

 

120

80

200

 

2. I did the survey the question. Table 2 showed the result from the survey, which we called “an observed values table.” Table 1 represented the expected survey results if Gender wasn’t a factor in people choosing to watch Dancing With The Stars, Table 2 is represented our actual survey results. What can you tell after comparing Table 1 with Table 2 (the observed value with the expected value)?

Table 2

 

Yes, I watch 

Dancing With The Stars

No, I do not watch 

Dancing With The Stars

Male

30

70

100

Female

90

10

100

 

120

80

200

3. How do we determine the expected value like Table 1? What should we know?

Please use the attached files for the attached. This is due in 24 hours 6:47 PM 13 Aug 2018 eastern standard time