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Chapter 11: Q.1.1 (page 698)

The Pennsylvania State University has its main campus in the town of State College and more than 20smaller 鈥渃ommonwealth campuses鈥� around the state. The Penn State Division of Student Affairs polled separate random samples of undergraduates from the main campus and commonwealth campuses about their use of online social networking. Facebook was the most popular site, with more than 80%of students having an account. Here is a comparison of Facebook use by undergraduates at the main campus and commonwealth campuses who have a Facebook account:

Calculate the conditional distribution (in proportions) of Facebook use for each campus setting?

Short Answer

Expert verified

The conditional distribution is

Step by step solution

01

Given Information

The table is ,

02

Explanation

The conditional distribution of the use of Facebook for both of the campus settings can be computed as:

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Most popular questions from this chapter

How is the hatching of water python eggs influenced by the temperature of the snake鈥檚 nest? Researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral, or cold. Hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother. Here are the data on the number of eggs and the number that hatched

(a) Make a two-way table of temperature by outcome (hatched or not). Calculate the proportion of eggs in each group that hatched. The researchers believed that eggs would not hatch in cold water. Do the data support that belief?

(b) Are the differences between the three groups statistically significant? Give appropriate evidence to support your answer

T11.5. We compute the value of the蠂2statistic to be 6.58. Assuming that the conditions for inference are met, the P-value of our test is

(a) greater than 0.20

(b) between 0.10and 0.20.

(c) between 0.05and 0.10.

(d) between0.01 and 0.05

(e) less than 0.01

Software gives test statistic 蠂2=69.8and P-value close to 0 . The correct interpretation of this result is

(a) the probability of getting a random sample of 4877teens that yields a value of 蠂2of 69.8or larger is basically 0.

(b) the probability of getting a random sample of 4877teens that yields a value of 蠂2of 69.8or larger if H0is true is basically 0.

(c) the probability of making a Type I error is basically 0.

(d) the probability of making a Type II error is basically 0.

(e) it's very unlikely that these data are true.

Canada has universal health care. The United States does not but often offers more elaborate treatment to patients with access. How do the two systems compare in treating heart attacks? Researchers compared random samples of 2600U.S. and 400Canadian heart attack patients. One key outcome was the patients鈥� own assessment of their quality of life relative to what it had been before the heart attack. Here are the data for the patients who survived a year:

Quality of lifeCanadaUnited StatesMuch better75541Somewhat better71498About the same96779Somewhat worse50282Much worse1965Total3112165

Is there a significant difference between the two distributions of quality-of-life ratings? Carry out an appropriate test at the 伪=0.01level.

Refer to Exercises 1 and 3.

(a) Confirm that the expected counts are large enough to use a chi-square distribution. Which distribution (specify the degrees of freedom) should you use?

(b) Sketch a graph like Figure 11.4 (page 683) that shows the P-value.

(c) Use Table C to find the P-value. Then use your calculator鈥檚 C2cdf command

(d) What conclusion would you draw about the company鈥檚 claimed distribution for its deluxe mixed nuts? Justify your answer.
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