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A survey asked a random sample of U.S. adults about their political party affiliation and how long they thought they would survive compared to most people in their community if an apocalyptic disaster were to strike. The responses are summarized in the following two-way table.

Suppose we select one of the survey respondents at random. Which of the following probabilities is the largest?

a. P(Independent and Longer)

b. P(Independent or Not as long)

c. P(Democrat 3051526=0.200=20.0%| Not as long)

d. P(About as long 3051526=0.200=20.0%| Democrat)

e. P(About as long)

Short Answer

Expert verified

The answer would be:

b. P(Independent or Not as long)

Step by step solution

01

 Step 1: Given information 

We have to tell probabilities is the largest.

02

Explanation 

The table has 360Democrats (since360is indicated in the row "Total" and the column "Democrat" of the given table), with 169of the 360Democrats projected to live about as long as the rest of the population (since168is mentioned in the row "About as long" and in the column "Democrat" of the given table).

The table comprises 998U.S. adults in total (which is stated in the bottom right corner of the table), with 416of those 998U.S. adults being Independent and anticipated to live about as long as the average American adult (since 416is mentioned in the row "About as long" and in the column "Total" of the given table).

P(About as long∣Democrat)=#of favorable outcomes#of possible outcomes=169360≈0.4694

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In an experiment to learn whether substance M can help restore memory, the brains of 20rats were treated to damage their memories. First, the rats were trained to run a maze. After a day, 10rats (determined at random) were given substance M and 7of them succeeded in the maze. Only 2of the 10control rats were successful. The two-sample z test for the difference in the true proportions

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