MATH 1410 Onine Fal 2017 Quiz: Quiz #8 (Sections 8.1-8.2) This Question: 1 pt 8

Question

MATH 1410 Onine Fal 2017 Quiz: Quiz #8 (Sections 8.1-8.2) This Question: 1 pt 8 (1 complete According to a situdy condacted by a stuafstical organication (a) Suppose the random sample of 100 people is asked, "Are you salinfed with the way things are gong in your the propotion of people who are saisfed with the way things are going in their lives is 010 Suppose that a random samp resporse to this queston qualitsthve or quanstaive?Explan O A. The rosponse in qualittive bocause O B. The response is quanttalive because the responses can be classied based on the charactertic of bng sutoed or not O C. The response is qealeative becase the respommes can be clasfied baed on the characterstc of beng satoled o O D. The response is quanstative because the esponses can be measured numerieally and the valies addod or subtracted, providing meaninghl u (b)Explain why the sale proportion. p is a random vanable Whot is the souce of the vanbiy the nespornes can be measured nuamercaly and the values added or subted provedng mearingfd nesuts O A. The sample propation p s a random vavable bec ause the vabue of p vanes from samgle to sanle.The aiity s dae to re facfront peole fe venly rading e snstacion O B. The saele proportion pis a random variable because he vae of meesents a rano person inckuded in the sample The variability s due to thefact ople may not be emponding to the uo O C. The sample propertion pis a random vable toc ause ho value of p mpreserts a random person inclded in he sample The vanablay is duae to the tact that offerent people ted sfeny egardng ew (c) Describe the sampling dstriution of ip, the proporion of pople who are satrated with the way things are going in heir le Be sure to verly the model rees Round to theee deimal places as needed ) (d) n the sample cbtained im part (a), what is the probabulity that the groportion wo a The probability that the proportion who are sated withthe way ane satofed with the way things are going in their ie exceeds 083 (Round to Nour decimal places as needed) e) Using the dishibution from part (e) would ab nusual for a surwey of 100 people to reveltht 73 or oe ithe sam Round to four deeimal places as needed Cick to select your answers)

Explanation / Answer

Solution:

(a) C. The response is qualitative because the responses can be classified baed on the characteristic of being satisfied or not.
(b) C. The sample proportion p is a random variable because the value of p represents a random person include in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction.
(c) The sample size is not less than 5% of the population size and
np(1-p) = 100 * 0.72(1-0.72) = 20.16 10
the distribution is norm with
p = np = 100 * 0.72 = 72
and p = sqrt(np(1-p)) = sqrt(100 * 0.72 *0.28) = 4.49

(d) 0.75 * 100 = 75
P(X > 0.75) = P(Z > 75-72/4.49) = P(Z > 0.668) = 1- P(Z < 0.668)
= 1- 0.7479 = 0.2521

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