Question

15. Five years ago, when a company conducted a large-scale study of their employees, it showed that 63% of its employees had children under the age of 18 living with them. Because of the change in the demographics of the area, it is believed that this percentage has increased. To test this conjecture, a sample of 35 employees is used and 78.1% of them had children under 18. Do these results indicate a significant increase in the proportion of employees at this company that have children under 18 living with them? nl X = He: H: work to find p-value: Conclusion : Type 1 Type II What type of error are you in danger of having made?

Answer 1

solution :- x = m = 35 X0.781 = 27.3 mpo = 35x0.63 = 22.05 = 22.05 >5 s n ()-bo) - 35x0.37 = 12.95 5 we can say conditions are satisfied. so, b) Ho: p=0.63 Ha:p>0.63 9 0.781-0.63 = 1.85 Izp-b. pll-p) 0.63 x 0.37 n 35 2. so P-value P12>1.85) (zel 0.0322 Loros d) conclusion :- P- ralue is signiticantly low There is sufficient evidence there is increase im proportion of employee that has children Because Ho is rejected. under is. e Type I eroof