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Chapter 11: Q. 46 (page 756)

Online banking A recent poll conducted by the Pew Research Center asked a random sample of 1846Internet users if they do any of their banking online. The table summarizes their responses by age. 23Is there convincing evidence of an association between age and use of online banking for Internet users?

Short Answer

Expert verified

Yes,here convincing evidence of an association between age and use of online banking for Internet users.

Step by step solution

01

Given information 

We have to tell about here convincing evidence of an association between age and use of online banking for Internet users.

02

Explanation 

The significamce level of αis 0.05.

There is no link between online banking and age.

The expected frequencies are:

E11=r1×c1n=1088×3951846≈232.81

Finally, after determining all of the other characteristics, we arrive at

E24=r2×c4n=158×3561846≈146.18

Hypothesis Test:

χ2=∑(O-E)2E

Using the above formula we get=43.79

P<0.05⇒RejectH0

There is evidence that there is a link between online banking and age.

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Most popular questions from this chapter

A random sample of traffic tickets given to motorists in a large city is examined. The tickets are classified according to the race or ethnicity of the driver. The results are summarized in the following table.

The proportion of this city's population in each of the racial/ethnic categories listed is as follows.

We wish to test H0: The racial/ethnic distribution of traffic tickets in the city is the same as the racial/ethnic distribution of the city's population.

The category that contributes the largest component to the χ2test statistic is a. White, with 12.4fewer tickets than expected.

b. White, with 12.4more tickets than expected.

c. Hispanic, with 6.16fewer tickets than expected.

d. Hispanic, with 6.16more tickets than expected.

Last python Refer to Exercises 28 and 30.

a. Verify that the conditions for inference are met.

b. Use Table C to find the P-value. Then use your calculator’s χ2 cdf command.

c. Interpret the P-value from the calculator.

d. What conclusion would you draw using α=0.10?

Last candy Refer to Exercises 27 and 29.

a. Verify that the conditions for inference are met.

b. Use Table C to find the P-value. Then use your calculator’s χ2 cdf command.

c. Interpret the P-value from the calculator.

d. What conclusion would you draw using α=0.01?

Inference recap (8.1to 11.2) In each of the following settings, state which inference procedure from Chapter 8,9,10,or11you would use. Be specific. For example, you might answer, “Two-sample z test for the difference between two proportions.” You do not have to carry out any procedures.

a. Is there a relationship between attendance at religious services and alcohol consumption? A random sample of 1000adults was asked whether they regularly attend religious services and whether they drink alcohol daily.

b. Separate random samples of 75 college students and 75 high school students were asked how much time, on average, they spend watching television each week. We want to estimate the difference in the average amount of TV watched by high school and college students.

Testing a genetic model Biologists wish to cross pairs of tobacco plants having genetic makeup Gg, indicating that each plant has one dominant gene (G) and one recessive gene (g) for color. Each offspring plant will receive one gene for color from each parent. The Punnett square shows the possible combinations of genes received by the offspring.

The Punnett square suggests that the expected ratio of green (GG) to yellow-green (Gg) to albino (gg) tobacco plants should be 1:2:1. In other words, the biologists predict that 25%of the offspring will be green, 50%will be yellow-green, and 25%will be albino. To test their hypothesis about the distribution of offspring, the biologists mate 84randomly selected pairs of yellow-green parent plants. Of 84offspring, 23plants were green, 50were yellow-green, and 11 were albino. Do the data provide convincing evidence at the α=0.01 level that the true distribution of offspring is different from what the biologists predict?
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