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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 伪is 0.05.

There is no link between online banking and age.

The expected frequencies are:

E11=r1脳c1n=1088脳3951846鈮�232.81

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

E24=r2脳c4n=158脳3561846鈮�146.18

Hypothesis Test:

蠂2=鈭�(O-E)2E

Using the above formula we get=43.79

P<0.05鈬�RejectH0

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

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Most popular questions from this chapter

Skittles庐 Statistics teacher Jason Mole sky contacted Mars, Inc., to ask about the color distribution for Skittles candies. Here is an excerpt from the response he received: 鈥淭he original flavor blend for the Skittles Bite Size Candies is lemon, green apple, orange, strawberry and grape. They were chosen as a result of consumer preference tests we conducted. The flavor blend is 20 percent of each flavor.鈥�

a. State appropriate hypotheses for a significance test of the company鈥檚 claim.

b. Find the expected counts for a random sample of 60 candies.

c. How large a 蠂2test statistic would you need to have significant evidence against the company鈥檚 claim at the 伪=0.05 level? At the 伪=0.01 level?

d. Create a set of observed counts for a random sample of 60 candies that gives a P-value between 0.01 and 0.05 Show the calculation of your chi-square test statistic.

When analyzing survey results from a two-way table, the main distinction between a test for independence and a test for homogeneity is

a. how the degrees of freedom are calculated.

b. how the expected counts are calculated.

c. the number of samples obtained.

d. the number of rows in the two-way table.

e. the number of columns in the two-way table.

Sorry, no chi-square How do U.S. residents who travel overseas for leisure differ from

those who travel for business? The following is the breakdown by occupation.

Occupation
Leisure travelers (%)
Business travelers (%)
Professional/technical
36
39
Manager/executive
23
48
Retired
14
3
Student
7
3
Other
20
7
Total
100
100

Explain why we can鈥檛 use a chi-square test to learn whether these two distributions differ

significantly.

Aw, nuts! A company claims that each batch of its deluxe mixed nuts

contains 52% cashews, 27%almonds, 13% macadamia nuts, and 8% Brazil nuts. To test this claim, a quality-control inspector takes a random sample of 150 nuts from the latest batch. The table displays the sample data.

a. State appropriate hypotheses for performing a test of the company鈥檚 claim.

b. Calculate the expected count for each type of nut.

c. Calculate the value of the chi-square test statistic.

Popular kids Who were the popular kids at your elementary school? Did they get good grades or have good looks? Were they good at sports? A study was performed in Michigan to examine the factors that determine social status for children in grades 4,5,and 6. Researchers administered a questionnaire to a random sample of 478students in these grades. One of the questions asked, "What would you most like to do at school: make good grades, be good at sports, or be popular?" The two-way table summarizes the students' responses. Is there convincing evidence of an association between gender and goal for students in grades 4,5,and 6?
See all solutions

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