Question

SHORT ANSWER: (A) State the null and alternative hypotheses using words or mathematical symbols. (B) Define p-value (conditional probability) in context. (CUsing alpha 0.05. provide an appropriate conclusion to the hypothesis testing in context 4) After a political ad campaign for a city's mayor, pollsters check the disapproval ratings. They test the hypothesis that the ads produced no change against the alternative that the ratings are now below 13%, and found a P-value of 0.11. Provide an appropriate conclusion. 5) The seller of a loaded die claims that it will favor the outcome 6. We don't believe that claim, and . Provide an roll the die 350 times to test an appropriate hypothesis. Our P-value turns out to be 0,01 appropriate conclusion. NJt ijp-sis 6) The standard weight loss program provided a measurable loss for 72% of its participants. A program leader decides to test a new weight loss strategy to see if it's better and get's a P-value of 0.23. Is it reasonable to conclude that the new strategy and the standard one are equally effective?

Answer 1

4)

(A)

Hypotheses are:

(B)

P-value shows the probability of finding sample results or more extreme results under the assumption that null hypothesis is result.

(C)

Since p-value is greater than 0.05 so we fail to reject the null hypothesis.

We can conclude that ratings are below 13%.

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5)(A)

If die is loaded in favor of 6 then proportion of 6 should be greater than 1/6.

Hypotheses are:

$H_{0}:p=1/6$

$H_{a}:p>1/6$

(B)

P-value shows the probability of finding sample results or more extreme results under the assumption that null hypothesis is result.

(C)

Since p-value is lesser than 0.05 so we reject the null hypothesis.

We can conclude that die is loaded in favor of 6.

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6-(A)

Hypotheses are:

Ho : p = 0.72

(B)

P-value shows the probability of finding sample results or more extreme results under the assumption that null hypothesis is result.

(C)

Since p-value is greater than 0.05 so we fail to reject the null hypothesis.

We can conclude that both strategy are equally effective.