Question

Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners indicated that 50% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 120 business owners

The proportion of business owners providing a holiday gift (has/has not) increased

Answer 1

Given sample size n=120 50% plan to provide a holiday gift to employees p=0.50 To test, proportion of business owners plan to provide a holiday gift to employees is increased from 46% He:Pos 0.46 vs Hj: Po>0.46 Papo Test statistic Z= (1-P)/n 0.50-0.46 70.46(1-0.46)/120 = 0.2 = 0.8791 P-value = 0.1897 {Using online calculator} P value is greater than level of significance 0.05, hence we accept null hypothesis Conclusion: proportion of business owners plan to provide a holiday gift to employees is less than or equal to 46%