Information on a packet of seeds claims that 93% of them will germinate. Of the 200 seeds that I planted, only 175 germinated. (a) Find a 95% CI on the true proportion of seeds that germinate based on this sample. (b) Does this seem to provide evidence that the claim is wrong
Accepted Solution
A:
Answer:We reject H₀we accept Hₐ seeds in the packet would germinate smaller than 93%Step-by-step explanation:Test of proportionsOne tail-test (left side)93 % = 0.93p₀ = 0,931.- HypothesisH₀ ⇒ null hypothesis p₀ = 0.93Hₐ ⇒ Alternative hypothesis p = 0.8752.-Confidence interval 95 %α = 0,05 and z(c) = - 1.643.- Compute z(s)z(s) = (p - p₀)/√(p₀*q₀)/n z(s) = (0.875-0.93)/√0.93*0.07)200z(s) = - 0,055/ √0.0003255z(s) = - 0.055/ 0.018z(s) = - 3,064.-Compere z(c) and z(s)z(s) < z(c) -3.06 < -1.64z(s) is in rejection region, we reject H₀