Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Let's complete the two-way table by calculating the relative frequencies step-by-step:
1. Relative frequencies for the "Voted" row:
- Support: To calculate the relative frequency of those who voted and supported, we divide the number who supported by the total number who voted:
[tex]\[ \frac{18}{25} = 0.72 \text{ or } 72\% \][/tex]
- Oppose: To calculate the relative frequency of those who voted and opposed, we divide the number who opposed by the total number who voted:
[tex]\[ \frac{7}{25} = 0.28 \text{ or } 28\% \][/tex]
- Total: Since we are calculating the relative frequency for the total of those who voted (which includes both supporters and opposers), it will always be:
[tex]\[ \frac{25}{25} = 1 \text{ or } 100\% \][/tex]
2. Relative frequencies for the "Did Not Vote" row:
- Support: To calculate the relative frequency of those who did not vote but supported, we divide the number who supported by the total number who did not vote:
[tex]\[ \frac{13}{25} = 0.52 \text{ or } 52\% \][/tex]
- Oppose: To calculate the relative frequency of those who did not vote and opposed, we divide the number who opposed by the total number who did not vote:
[tex]\[ \frac{12}{25} = 0.48 \text{ or } 48\% \][/tex]
- Total: The relative frequency for the total of those who did not vote is:
[tex]\[ \frac{25}{25} = 1 \text{ or } 100\% \][/tex]
3. Relative frequencies for the "Total" row:
- Support: To calculate the relative frequency of the total number of supporters regardless of whether they voted or not, we divide the total number who supported by the overall total:
[tex]\[ \frac{31}{50} = 0.62 \text{ or } 62\% \][/tex]
- Oppose: To calculate the relative frequency of the total number of opposers regardless of whether they voted or not, we divide the total number who opposed by the overall total:
[tex]\[ \frac{19}{50} = 0.38 \text{ or } 38\% \][/tex]
- Total: The relative frequency for the overall total will always be:
[tex]\[ \frac{50}{50} = 1 \text{ or } 100\% \][/tex]
Now, we can complete the blank table with the calculated relative frequencies:
[tex]\[ \begin{tabular}{|l|c|c|c|} \cline { 2 - 4 } \multicolumn{1}{c|}{} & Support & Oppose & Total \\ \hline Voted & 72\% & 28\% & 100\% \\ \hline \begin{tabular}{l} Did Not \\ Vote \end{tabular} & 52\% & 48\% & 100\% \\ \hline Total & 62\% & 38\% & 100\% \\ \hline \end{tabular} \][/tex]
In summary:
- 72\% of those who voted supported the proposal.
- 28\% of those who voted opposed the proposal.
- 52\% of those who did not vote supported the proposal.
- 48\% of those who did not vote opposed the proposal.
- Overall, 62\% of all participants supported the proposal.
- Overall, 38\% of all participants opposed the proposal.
1. Relative frequencies for the "Voted" row:
- Support: To calculate the relative frequency of those who voted and supported, we divide the number who supported by the total number who voted:
[tex]\[ \frac{18}{25} = 0.72 \text{ or } 72\% \][/tex]
- Oppose: To calculate the relative frequency of those who voted and opposed, we divide the number who opposed by the total number who voted:
[tex]\[ \frac{7}{25} = 0.28 \text{ or } 28\% \][/tex]
- Total: Since we are calculating the relative frequency for the total of those who voted (which includes both supporters and opposers), it will always be:
[tex]\[ \frac{25}{25} = 1 \text{ or } 100\% \][/tex]
2. Relative frequencies for the "Did Not Vote" row:
- Support: To calculate the relative frequency of those who did not vote but supported, we divide the number who supported by the total number who did not vote:
[tex]\[ \frac{13}{25} = 0.52 \text{ or } 52\% \][/tex]
- Oppose: To calculate the relative frequency of those who did not vote and opposed, we divide the number who opposed by the total number who did not vote:
[tex]\[ \frac{12}{25} = 0.48 \text{ or } 48\% \][/tex]
- Total: The relative frequency for the total of those who did not vote is:
[tex]\[ \frac{25}{25} = 1 \text{ or } 100\% \][/tex]
3. Relative frequencies for the "Total" row:
- Support: To calculate the relative frequency of the total number of supporters regardless of whether they voted or not, we divide the total number who supported by the overall total:
[tex]\[ \frac{31}{50} = 0.62 \text{ or } 62\% \][/tex]
- Oppose: To calculate the relative frequency of the total number of opposers regardless of whether they voted or not, we divide the total number who opposed by the overall total:
[tex]\[ \frac{19}{50} = 0.38 \text{ or } 38\% \][/tex]
- Total: The relative frequency for the overall total will always be:
[tex]\[ \frac{50}{50} = 1 \text{ or } 100\% \][/tex]
Now, we can complete the blank table with the calculated relative frequencies:
[tex]\[ \begin{tabular}{|l|c|c|c|} \cline { 2 - 4 } \multicolumn{1}{c|}{} & Support & Oppose & Total \\ \hline Voted & 72\% & 28\% & 100\% \\ \hline \begin{tabular}{l} Did Not \\ Vote \end{tabular} & 52\% & 48\% & 100\% \\ \hline Total & 62\% & 38\% & 100\% \\ \hline \end{tabular} \][/tex]
In summary:
- 72\% of those who voted supported the proposal.
- 28\% of those who voted opposed the proposal.
- 52\% of those who did not vote supported the proposal.
- 48\% of those who did not vote opposed the proposal.
- Overall, 62\% of all participants supported the proposal.
- Overall, 38\% of all participants opposed the proposal.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
Which two cultures have blended together to create the Mexican culture? Spanish German French Indian
