Question

A company claims that the proportion of workers those are satisfied with their jobs is more than 0.75. If, in randomly selected sample of 100 workers, 80 saying that they are satisfied with their jobs. The population proportion (p) and sample proportion () are given respectively by:

Answer 1

Answer:

Claim: proportion > 0.75

Hence

Null hypothesis: H0: p <= 0.75

Alternate hypothesis: Ha: p>0.75

Sample proportion => pi = 80/100 = 0.8

Population proportion => claim = 0.75

Test statisitc:

z = pi-p0/sqrt(po*(1-p0)/n)

= (0.8-0.75)/sqrt(0.75*0.25/100)

= 1.1547

If the z critical value is less than the calculated z statistic we reject the null hypothesis. Here the calculated test statisitc (1.1547) is less than the critical value of 1.96 at 95% confiidence level

Hence we cannot reject the null hypothesis and accept the claim that the proportion of satisified workers is less than or equal to 0.75