Question

It has been accounted for that 20.4% of high school graduates show that they will study business or a related field. A random sample of 400 of high school graduates was asked for the preference, and 95 answered that they were thinking about business as a major. Estimate the true proportion of high school graduates majors with 98% confidence.

Answer 1

i am not a graduate I am just student of 11 class I get 99% in my board exam

Answer 2

The interval contains 20.4%.

Step-by-step explanation:

Given: x = 95 and n = 400.

Sample proportion  p’ = x/n = 95 / 400 = 0.2375

Using Z-tables, the critical value is Z (0.02/2) = Z (0.01) = ±2.33 98%.

Confidence interval is given by:-

p’ ± Z*√ p’ (1 – p’)/n = 0.2375 ± 2.33*√0.2375*(1 – 0.2375)/400

= 0.2375 ± 2.33*0.02128

= 0.2375 ± 0.0496

= 0.188 to 0.287.

= 18.8% to 28.7%

Yes, the interval contains 20.4%.