Question

A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs revealed the following sample information. At the 0.02 significance level, is there a relationship between job pressure and age?

	Degree of Job Pressure
Age (years)	Low	Medium	High
Less than 25	34	25	45
25 up to 40	30	39	55
40 up to 60	37	53	80
60 and older	55	73	73

State the decision rule. Use 0.02 significance level. (Round your answer to 3 decimal places.)

H₀: Age and pressure are not related.

H₁: Age and pressure are related.

Compute the value of chi-square. (Round your answer to 3 decimal places.)

Answer 1

Hit like please.

H! To test: Ho : Age and pressure are not related. Age and pressure are related Table for expected frequencies, degree of job pressure low medium Age (years) 156 X104 190x104 less than 25 - 324988 589 high 253X104 699 = 43.926 31.085 699 25 up to 40 156 x 194 $9.9. - 37.294 190X124 -39,332 59.9. 253x129 -52-374 599 40 upto 60 156X170 $9.9. = 44.274 790x170 5.99. - 53.923 253 x)20 -71.803 699 253420). :84.896 599 "156 X20) 190 X 20 ) 60 & alder - 52.347 = 63.756 5.9.9. 1.599. j! Observed values. N = 599. where Eij AjBj N. R=0.02 i dof (4-1)(3-1) = 6 :. critical value at & 6. dof is 15.033 Reject He X?> 15.033., accept otherwise. Test statistics. 2 x? Ź Coj - Eij? Eij 1,765 +0. 163 +1.195 + 0.134+1.939+0.003 + 0.016 + 1.34 +0.026+ 0.1316+ 0.9357 + 1.6669 F 22 こ g.312 Here x² = 9.312 sX² = 15.033 so we accept Ho. conclusion Age & pressure are not related. at 2 -0.02.