Suppose that a South African Broadcasting Corporation (SABC) official wants to conduct a survey in Limpopo...

Transcribed Image Text:

Suppose that a South African Broadcasting Corporation (SABC) official wants to conduct a survey in Limpopo to estimate, with 95% confidence, a support for the premier's strategies on economy within 3% error. If the official has initial estimate that 70% of the people in Limpopo support the economic strategies of the premier. How many people should SABC survey? (3) Let Y₁, Y₂,..., Yn be a random sample whose probability density function is given by y³ e7, for et 0, f(y; B)=684 0<y<∞o and ß> 0 elsewhere 200 and suppose that n = 200, y₁= 20, 20 y? = 100, i) Derive the standard error of ß, se (B) = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B. y = 250 and ß = 0.025. (7) (3) Suppose that a South African Broadcasting Corporation (SABC) official wants to conduct a survey in Limpopo to estimate, with 95% confidence, a support for the premier's strategies on economy within 3% error. If the official has initial estimate that 70% of the people in Limpopo support the economic strategies of the premier. How many people should SABC survey? (3) Let Y₁, Y₂,..., Yn be a random sample whose probability density function is given by y³ e7, for et 0, f(y; B)=684 0<y<∞o and ß> 0 elsewhere 200 and suppose that n = 200, y₁= 20, 20 y? = 100, i) Derive the standard error of ß, se (B) = 0.0009, using MLE approach. ii) Find an approximate 95% Confidence interval for B. y = 250 and ß = 0.025. (7) (3)