In: Statistics and Probability
Suppose the marketing research firm would like to examine if the social networking site that a person primarily uses is influenced by his or her age. In a randomly drawn sample, 530 social network users were asked which site they primarily visited. These data are presented in the following table along with each person's age group:
Social Media | |||
Age (years) | |||
10-17 | 21 | 18 | 12 |
18-34 | 41 | 66 | 44 |
35-54 | 62 | 63 | 61 |
55 and older | 61 | 43 | 38 |
At a significance level of 0.05 can we conclude that there is a relationship between age group of a social network user and the primary site the visit?
A) What is the question being asked?
B) What test should be run?
C) State the null and alternate hypothesis
D) Compute the value of the test statistic
E) Compute the P-Value
F) What is your decision regarding the null hypothesis? Interpret the result.
a) Is there a relationship between age group of a social network user and the primary site the visit
b) Chisquare test for independence of attributes
c) H0: there is a no relationship between age group of a social network user and the primary site the visit
H1: there is a relationship between age group of a social network user and the primary site the visit
d) The observed frequencies are
The chi-square contribution values are
e) P-Value: 0.0702
f) Here P-value > alpha 0.05 so we accept H0
Thus we conclude that there is a no relationship between age group of a social network user and the primary site the visit