Question

Chapter 17 Written Assignment Name 1. The adoption of smart phones has been discussed a lot. One aspect of these devices is that students tend to be distracted by their phones during class. A recent survey reported that 76% of 1004 randomly sampled females used their smart phones during class time, compared to 71% of 1009 randomly sampled males. Do these results confirm a higher smart phone usage by females? a) (16 points) State and test an appropriate hypothesis and state your conclusions. Show your work, including checking the assumptions and conditions. b) (6 point) Find a 99% confidence interval for the difference in the proportion of males and females who use their phone during class. Interpret your interval.

Answer 1

DRTE Given thal 767. of 1004 andomely sampled Femmales d used there Smart phones durirg class ime Hher 76 * toolp 76.04 Let X,=Number of Females used there smart phones aluri ng class time 763,04 10044 again given Hhat, males used there smart phones dunng class hrme of t009 andomey sampled 7 then 71 toog 71659 Let X Number of males used there smart phones daing class 2 716. 39 1009 The Hypothesis are Ho: there s o SiqniFicant differenie betn the smart phane use's of male & Fermales There is siani ficant differente bet he smart of mate femates, H,- Phone LIses P. Po porhion of Females usedl there smar + Phones Novo duing class time 763.04 76 P 1 1004 PYoporhon of malesused Hhere smast phone P2 dunna dlaSs Hime 716. 39 X2 nz O7H P2 1 09

BATE Ho there s No significant difference bet proporhon of smart phone uses of made 4 Pemal e ie PIP2 H There is signi ficant difference bet the proporhon of Sroer Phone uses of mede t fe male Test statistes!- since the sample size (nith) is targe then we have Fo ctse 2 test Test stehistie under H s tot 768.04t 716.39 004+1009 wthere X+X2 nitn 1479.43 2013 1 P 1-0.7349 O.265i O.76-0,7/ 73410.261 0.05 0.01967 Oi1g48x 0,0014 87 2.5414 - Henie ersing evel of signi cant 001 e 1% Loioi 2.58

DATE Conclusion sinte the Cal ze2.5414 i5 1less than Hhere oe Aecept Ho and conih that there s No. significant differene beth proporhion of the tabulate d 2-58 smatt phone et uses oF male female The 991 c. I for P,-P2s CA-P) t2.58 s.E(A-Pa) Lhere s.ECR P) Ph92 0.76x0.24 0.71 X0 29 j00 4 t009 0.00018167 + O.0002040C CiO1964 93/. C.J for P,-Pa) arc (o.76-0.7) t 2.58 (0,05 t 0.O506712) aatoo7I2 a01964 (-0.00067 ( 2 0. l00 6712 -0.00067 2 O.1006712 The