Question

answers please

3. Parents at the monthly PTA meeting are worried about the number of times their teenage children log onto Instagram. One concerned parent found on the web that the average Instagram user logs on 8 times per day (PopSD 2.28). Five parenits agree to find out how many times their teenager logged onto Instagram that day and bring the data to the next PTA meeting. The data they collected were: 8, 6, 4, 9, and 3. Since these parents know absolutely nothing about statistics (or Instagram), they need vour help to determine if the number of times their teenagers logged onto Instagram differs from the average Instagram user. no dodin Compute the appropriate statistical test to examine the hypothesis given in the question above. Use the five hypothesis testing steps. (a-c, 4 points each; d-f, 6 points each) What is the mean of your sample data? 40 ovdo a. b. Null hypothesis (Ho): emalA Alternative/Research hypothesis (H1): u (es on orttaqye uc e What are the characteristics of the comparison distribution? c. Snotudhb noeemoo o e a nt e d. What is your sample's z-score on the comparison distribution (in other words, what is the z-score of your sample mean)? ow o notudntb noo Using a two-tailed test at p<.05 (Z 1.96), do you reject or fail to reject the null hypothesis? e. f. In one sentence, what conclusion can you reach about the number of times these teenagers log into Instagram? Page 4

Answer 1

ax (sample meam 8t67449 +3 30 5 5 Dμ με 8 H LON(what we hane to uemarh ewhether diffens from& c) We know the populahon etamdan dansasion For dhe test, we u the nomal distvibution From Cantral imet The oveem:- - Distribuhon for teshing Meam 2:287- 5.1984/6--103968 Nauiam ce = d) z= X-u -1.96 1463 6-8 28/2.a.36) Converting the comparison dis iribuhon to Stamdon& normal ZaX-u N/0,) Snadid regon epresonds Sujecton egion Tuwo tailes tese with Signitieamce sndl 196 1.96 2-57 2-57 Z-5core =-1.g61463 7-SCOve Lies in the Saje chon regio nh Ho is Jejetes

f) It can be inferred that: since the null hypothesis is rejected, there is sufficient evidence to conclude from the sample at 5% significance level that the number of times teenagers log into instagram is actually different from the average instagram user.