Question

Chatterbug, a social networking site on the Internet, would like to determine if gender is related to number of minutes per day spent on a Chatterbook account. A random sample of 236 users was taken with the following results: Time spent on Chatterbug Gender 1 - 25 minutes per day 25 - 50 minutes per day More than 50 minutes per day Males 27 Females 30 48 52 Conduct a hypothesis test based on this sample data, with a -1%. Based on the sample data can Chatterbug conclude that gender is related to time (minutes per day) spent on a Chatterbug account? (a) State the hypotheses: H: The Select an answer time spent on Chatterbug and gender Select an answer H: The Select an answer time spent on Chatterbug and gender Select an answer (b) Choose the correct distribution: Chi-Square Distribution T-Distribution Normal Distribution (e) State the decision rule: at a Select an answer Select an answer % if the p-value of the Select an answer (d) Experiment: Symbol of the sample statistic:

Answer 1

(a) H0: The relation between time spent on Chatterbug and gender is insignificant (that is, time spent on Chatterbug and gender are independent of each other).
Ha: The relation between time spent on Chatterbug and gender is significant (that is, time spent on Chatterbug and gender are dependent of each other).

(b) Chi-Square Distribution.

(c) Reject H0 at $\alpha$ = 1% if the p-value of this experiment is less than $\alpha$ = 0.01.

(d) $\chi^2$ = 5.80, P-value = 0.0552.

(e) Fail to reject H0 (accept H0) at $\alpha$ = 1%.

(f) No, because gender and time spent on Chatterbug are independent, p is greater than $\alpha$ .