Question
In Vancouver, a random sample of residents were selected and asked about their favorite type of music for not returning a hotel. The results are
In Vancouver, a random sample of residents were selected and asked about their favorite type of music for not returning a hotel. The results are shown below.
16-29 | 30-49 | 50-64 | 65 and over | |
---|---|---|---|---|
Rock | 20 | 9 | 10 | 12 |
R&B | 67 | 102 | 21 | 50 |
Classical | 116 | 181 | 40 | 76 |
Jazz | 73 | 158 | 26 | 50 |
Hip-hop | 24 | 50 | 3 | 12 |
Part A Calculate the percentage of residents aged 16-29 who choose R&B as their favorite type of music. % Round the percentage to 3 decimal places (e.g. 12.345%). Calculate the percentage of residents aged 30-49 who choose R&B as their favorite type of music. % Round the percentage to 3 decimal places (e.g. 12.345%). Calculate the percentage of residents aged 50-64 who choose R&B as their favorite type of music. % Round the percentage to 3 decimal places (e.g. 12.345%). Calculate the percentage of residents aged 65 and over who choose R&B as their favorite type of music. % Round the percentage to 3 decimal places (e.g. 12.345%). Which group of residents is more likely to choose R&B as their favorite type of music? ? 16-29 30-49 50-64 65 and over
Part B Suppose we want to test whether the favorite type of music of residents in the neighbourhood is related to their age.. Assume the null hypothesis is true, calculate the expected frequency for the following cells: Round the following expected frequency to 8 decimal places.
1. | 16-29 and Rock | |
2. | 16-29 and R&B | |
3. | 16-29 and Classical | |
4. | 16-29 and Jazz | |
5. | 16-29 and Hip-hop |
The Chi-Square statistic for the hypothesis test is . Round the Chi-Square statistic to 5 decimal places. The decision point is . Since the Chi-Square statistic is ? larger less than the decision point, the sample data provide ? sufficient insufficient to support that the favorite type of music of residents in the neighbourhood is related to their age.
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