Question

7) A survey of 4319 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 722 have donated blood in the past two years. (a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years. (b) Verify that the requirements for constructing a confidence interval about p are satisfied. (c) Construct and interpret a 92% confidence interval for the population proportion of adults in the country who have donated blood in the past two years.

Answer 1

the information ca Based have, provided, N z 4 319 x 7 २२ point estimate population of ' proportios the ^ ta Х is 2 I 2 4 319 O:1617.27 are: (b) The conditions data arc simple 0. The random sample. Clearly selected based is data the And survey on since, the sample is seleereel is nog mentioned, le can assume that

srs , it distribution is 22 sampling The normal. since, appronimately ♡ z 772 20.167. and N 730) X ? -२२ Nx value= the expected २२ >s. the Similarly in N. (!-B) 35, normal. follows distribution 10 successes is atleast 3) There Conditions failures. lo and it is met already are in the questions.

сс. z o.16 cal slz z 4319 z 15l. zzi-d103 the zc a z0.08) buisn rs interval confidence . the. Ê Cre z eso ( Rizaje 0.167(1-0,167) 0.167 – 1. #'s 1 x 4319 1 Oi 173 (0.1877 CE

Therefore out of 100 92 times the true proportion of population parameters will lie in the interval (0.157,0.177).