Question
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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