In recent years, a growing array of entertainment options competes for consumer time. By 2004, cable television and radio surpassed broadcast television, recorded mustic, and the daily newspaper to become the two entertainment media with the greatest usage (The Wall Street Journal, January 26, 2004). Researchers used a sample of 15 individuals and collected data on the hours per week spent watching cable television and hours per week spent listening to the radio. a. Use a .05 level of significance and test for a difference between the population mean usage for cable television and radio. What is the p-value? b. What is the sample mean number of hours per week spent watching cable television? What is the sample mean number of hours per week spent listening to radio? Which medium has the greater usage? Solution The null hypothesis tested is H0: There is no significant difference between the population mean usage for cable televisionand radio H1: There is significant difference between the population mean usage for cable television and radio Test Statistic used is T= d /s square root of n = , where d mean of difference, S the SD of the difference , n sample size Rejection criteria : Reject the null hypothesis, if the calculated value of t is greater than thecritical value of t . Details Test Statistics t = -2.3577 Critical value of t = ± 2.1448P value = 0.0335 Conclusion. Reject the null hypothesis. The sample provides enough evidence to support theclaim Television radioa MEAN 18.8 20 SD 5.230 5.24 SINCE MEAN VAKUE OF RADIO IS HIGH , WE CONCLUDE THAT RADIOHAS GREATER USAGE.