Answer:
About 7,500 registered voters are expected to vote for the new dog park.
Step-by-step explanation:
- A town has 15,000 registered voters.
- A random sample of 200 voters shows that 100 voters are in favour of a new dog park.
How many registered voters are likely to vote for the dog park?
The laws of probability allows us to extrapolate and use the proportion of randomly sampled registered voters that vote for a new dog park to calculate the actual number of registered voters that will vote for a new dog park.
Proportion of randomly sampled registered voters that voted for a new dog park
= (100/200) = 0.50
Proportion of overall registered voters that will vote for a new dog park will also be 0.50.
Number of likely registers voters that'll vote for a new dog park = 0.50 × 15,000 = 7,500
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