Insight into Market Share and Usage of Mobile Phones by Students at La Trobe University

Cover Page
Research Project-2: BUS1BAN
Teacher’s Name
Workshop Details
(Time, day, room)
Students ID Number Students Name Student contribution*
(%)
e.g. 50% means the
student will receive 50%
of the marks awarded
Students Signature
*All group members are to exert an equal amount of effort on all questions of the assignment.
Students should not divide sections. If a student has contributed to only some sections, the
contribution of the student should be equal to the marks it carries. A student with less than
100% contribution will receive marks proportional to their contribution.
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An insight into market share and usage of
mobile phones by students at La Trobe University
Note: Students would continue to be the part of the same group as were
for research project-1 and would be utilising the data from the same
random sample that they have already submitted earlier.
Inferential Statistics
1. Point Estimate and Confidence Interval: (20 marks)
A. Suppose you randomly select a student from BUS1BAN class, how likely
is it that the student selected will be: (5 marks)
 A female;
 A male;
 An IPhone user;
 A Samsung Galaxy user.
Proportion ( ^p)
Female Students 0.52
Male Students 0.48
IPhone Users 0.69
Other Smart Phone Users 0.1
B. Estimate 95% confidence interval of the proportion of female students and the
proportion of Other Smart Phone User. Show the confidence intervals
graphically, and interpret your results. (You must show the formula and show
working by putting values in the formula accordingly): (5 marks)
i.Female Students (2.5 marks)
Lower limit = 0.44
Upper limit = 0.60
This results show that 95% of the times the proportion of females will always
be between 0.44 and 0.60
2

ii.Other Smart Phone Users (2.5 marks)
Lower limit = 0.05
Upper limit = 0.15
This results show that 95% of the times the proportion of those who use
other smartphones will always be between 0.05 and 0.15
Proportion of females Proportion of other smartphone users
0
0.1
0.2
0.3
0.4
0.5
0.6
95% C.I for proportion
Figure 1
C. What are the average monthly earnings of male and female students at
La Trobe? (5 mark)
Female Male
Average Monthly
Earnings ($)
1162.46 1286.83
D. Provide 95% confidence interval of the average monthly earnings for each
gender, show the confidence intervals graphically, and interpret your answer.
(5 marks)
i.Female (2.5 marks)
Lower limit 976.96
Upper limit 1365.16
ii.Male. (2.5 marks)
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Lower limit 1043.17
Upper limit 1527.29
2. Hypothesis Testing: (20 marks)
A US market survey shows that the market share of iPhone is more than 40% of the US
market. Is it true for La Trobe students as well? Use your sample data to test this claim at
5% level of significance and interpret your answer. (Clearly label and follow the 5 steps of
hypothesis testing procedure as outlined on the formula sheet and you must show the
formula and show working by putting values in the formula accordingly).
hypothesized proportion 0.4
n 150
Proportion of Iphone users 0.69
Step 1
H0: Market share of Iphone > 40%
H1: Market share of Iphone <= 40%
Step 2
Alpha 0.05
Step 3
Proportion calculated 0.69
Standard error 0.04
Test statistics Z 7.25
Step 4
P-value one tail to right 2.08389E-13
Step 4
Critical value one tail to right
1.64485362
7
Step 5
Decision and conclusion
Because the p-value of 0.00 is less than the value of alpha 0.05, we reject the null
hypothesis and accept the alternative
There is a strong statistical evidence to support the claim that market share of Iphone is
more than 40% of market in US
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