help with problem C population whose size is N-20 000 and whose population propo

Question

help with problem C

population whose size is N-20 000 and whose population proportion with·specified charactersbc Suppose a simple random sample of size n = 5a is olter ed from is p=0.6. Complete parts (a) through (c) below (a) Desanbe the samping distribution of p Choose the phrase that best describes the shape of the sampling distnbubon below A Approximately normal because n S D.DSN and npl1 -p)2 10 B Approximately normal because n SOD5N and np(1-p) 10. C. Not normal because n 40.05N and npl1 p)10 O Not normal becouse n 0.05N and np(1 p) 10 Determine the mean of the samping distribution of p. -0.6 (Round to one decimal place as needed.) Determine the standard deviation of the sampling diatibution of p 0.089282 (Round to s decimal places as needed (bi What is the probablity of obtsining x31 or mere individusl's with the eharacteristie? That is, what s Ptp 20 02)7 Plp 20.82)-0.3984 Round to tour decimal places as neodes.) te) what is tne probabity of obtaining 27 or few ndividusis wtn the charscterister That a, what PIp 0.542 Plp 40.54,- (Round to tou decimal plates as needed.) Enter your snswer in the answer box and then dlick Check Answer

Explanation / Answer

Ans:

Sampling distribution of sample proportions:

mean=0.6

standard deviation=sqrt(0.6*(1-0.6)/50)=0.069282

c)

z=(0.54-0.6)/0.069282

z=-0.866

P(z<=-0.866)=0.1932

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