8) members of a local government are preparin...

8) members of a local government are preparing to vote on a new bill that will affect education standards in the state. to ensure they go with the public opinion, a poll is put out to the local population. of the sampling methods described below, which would hopefully result in a sample representative of the states population?\na. poll every member of the first baptist church down the road.\nb. poll 100 randomly selected educators from around the state.\nc. poll 100 randomly selected parents from around the state.\nd. using the states license database, randomly choose and poll 100 people from throughout the state.\n9) fox news randomly selects and polls 1000 of its viewers about their opinions on the upcoming presidential election. which of the following is most likely to be the population that this sample represents?\na. the entire us population\nb. only those people that watch fox news\nc. only those people that watch cnn\nd. everyone that watches tv\n10) a hypothesis test is run with significance level $alpha = 0.05$. if the p - value is correctly calculated as 0.04, which of the conclusions below should be made?\na. the data proves the null hypothesis is true.\nb. the data proves the alternative hypothesis is true.\nc. the data does not provide sufficient evidence to reject the null hypothesis.\nd. the data provides sufficient evidence to reject the null hypothesis in favor of the alternative.

Answer

### 8) # Brief Explanations: A representative sample should be randomly selected from the entire population. Option a is biased as it only polls church - goers, option b only polls educators, and option c only polls parents. Option d randomly selects from the state's license database which is more likely to represent the state's population. # Answer: d. Using the state's license database, randomly choose and poll 100 people from throughout ### 9) # Brief Explanations: Since the sample is of Fox News viewers, the population it most likely represents is the people who watch Fox News. It is not representative of the entire US population, CNN viewers, or all TV - watchers. # Answer: b. Only those people that watch Fox News ### 10) # Brief Explanations: In hypothesis testing, if the p - value is less than the significance level ($\alpha$), we reject the null hypothesis. Here, $\alpha = 0.05$ and $p=0.04<0.05$. # Answer: d. The data provides sufficient evidence to reject the null hypothesis in favor of the alternative