Question

A newspaper reported on preferred types of office communication by different age groups. Suppose the results were based on a survey of 500 respondents in each age group. The results are cross -classified in the table found below. At the 0.05 level of significance, is there evidence of a relationship between age group and type of communication preferred?

   TYPE OF COMMUNICATION PREFERRED

AGE GROUP Group Meetings    Face-to-Face Meetings with Individuals E- mails    Other    Total

Generation Y    195 245 40    20 500

Generation X 220 165 85 30 500

Boomer    225    190    65 20    500

Mature    205 205 50    40 500

Total 845 805 240 110    2,000

What are the null and alternative hypotheses to​ test?

H0​: ____ relationship exists between ______ and ____ .

H1​: ____ relationship exists between ______ and ______.

calculate the test statistic.

χ2STAT=

​(Round to three decimal places as​ needed.)

The​ p-value for χ2STAT is _____

​(Round to four decimal places as​ needed.)

State the conclusion.

Since the​ p-value is _____ than the level of​ significance, ______ the null hypothesis and conclude that there is _____ significant relationship.

Answer 1