After the political ad campaign, pollsters check the dictator's negatives. They test the hypothesis that the ads produced no change against the alternative that the negatives are now below 70% and find a P-value of 0.291. Which conclusion is appropriate? Explain.

Step-by-step explanation:

Hello!

The hypothesis tested where that "adds produce no change" symbolically p=0.7 versus "negatives are below 70%" symbolically: p < 0.70

So the hypothesis tested where:

H₀: p=0.7

H₁: p < 0.70

After conducting the analysis the p-value was 0.291

To decide over a hypothesis test using the p-value you have to compare it with the significance level of the test. The decision rule is the following:

If p-value > α, the decision is to not reject the null hypothesis.

If p-value ≤ α, the decision is to reject the null hypothesis.

Let's say the significance level of the test is α= 0.05

Using this level the decision is to nor reject the null hypothesis.

This means that after the political ad campaign the proportion of negatives hasn't changed.

I hope it helps!

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0