MATH 1F92 Lecture Notes - Lecture 5: Standard Deviation, Simple Random Sample, Confidence Interval

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Phat is known as a point estimate is the value of a statistic that estimates a parameter. Point estimate: the value of a statistic that estimates the value of a parameter: recall: phat=x/n. At brock, a simple random sample of 188 people between the ages of 18 to 25 were surveyed to determine if they use instagram. 37 people said they do not use instagram. Find the point estimate of the population proportion of people who use instagram. x=188-37=151. You might conclude that 80. 31% of brock students use instagram. However, without proper representation from the entire population we cannot (cid:373)ake this (cid:272)o(cid:374)(cid:272)lusio(cid:374) a(cid:374)d it (cid:449)ould (cid:271)e (cid:271)etter to (cid:272)o(cid:374)(cid:272)lude that (cid:862) roughly 80% of. Bro(cid:272)k stude(cid:374)ts use i(cid:374)stagra(cid:373) gi(cid:448)e or take 5%(cid:863) Mathematically this is equivalent to 0. 8 plus/minus 0. 05 which is (0. 75,0. 85) O (cid:449)he(cid:374) asked, (cid:862)ho(cid:449) (cid:272)o(cid:374)fide(cid:374)t are you that the proportio(cid:374) of people (cid:449)ho use. Instagram is between 75% and 85%, you may say something like.

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