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1. Is there an association between gender and concerns about data privacy? A sample was collected from 800 teenage students and the table of observed

1. Is there an association between gender and concerns about data privacy? A sample was collected from 800 teenage students and the table of observed frequency, expected frequency and chi square contributions are provided below.

a. Calculate the Expected frequency and the Chi-square contribution for Boy and More concerned (indicated with question marks in the tables below) and perform Chi-square analysis to answer the question above at 5% level. (10 marks)

b. What will be your conclusion if the significance level is now 1%? (2 marks)

OBSERVED Frequency
More concerned Less concerned TOTAL
Boy 185 220 405
Girl 213 182 395
TOTAL 398 402 800

EXPECTED Frequency
More concerned Less concerned TOTAL
Boy ? 405
Girl 395
TOTAL 398 402 800

Chi-Square Contribution
More concerned Less concerned TOTAL
Boy ? 1.34 2.68
Girl 1.38 1.37 2.75
TOTAL 2.73 2.71 5.44

Answer text

2. Summary statistics and computer output of ANOVA is provided below. Fill in the three missing values (with question marks) in the ANOVA table (df for Groups, df for Error, and the F-Statistic) and perform a ANOVA analysis to test whether there is a difference in sold price ($'000) among three different suburbs in North West of Sydney (Kellyville, Baulkham Hills and Castle Hill) at 5% level. Check the assumptions to obtain full marks. (12 marks).

Statistic Kellyville Baulkham Hills Castle hill Overall
Sample size 68 91 108 267
Mean 1220.9 1045.6 1287 1187.9
Standard deviation 317.5 260 342.7 326.7
ANOVA table
Df SS MS F
Groups ? 2978522.6 1489261.3 ?
Error ? 25410139.1 95250.5
Total 266 28388661.7

Answer text

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