In: Math
Give a scientific method, procedure or ways to determine the statistics in order to investigate, or analyze the characteristic and behaviour of electric-powered two and three wheelers in terms of the factors such as safety, travel time, accessibility, cost for a user. I need help for a research class on determining the characteristic and behaviour of people.
Before i strar answering this question, first i want to give a fact in statistics that for small sample size, we use t statistics and for large sample size, we use z statistics. Small sample mean sample size is less than equal to 30. Large sample mean sample size is greater than 30.
if we talk about factors such as safety, travel time, accesibility, cost for users. All factors measure in proportion of people, ways.
first way is- when we do survey, record all the responce in terms of yes and no. Yes represent, satisfiction of users in terms of safety, travel time, accessibility, cost for a user. No represent, users are not satisfy in terms of safety, travel time, accessibility, cost for a user.
suppose we have a data of 100 peeople, we use z statistics.
Suppose we want to test that 67% proportion of peoples are satisfy for all the factors or not. We make the statements in terms of hypothesis, hypothesis are following-
H0= 67% people are satisfy for all the mention factors.
H1=67% people are not satisfy for all the mention factors.
so we use z statistics for testing a single proportion.
z=(p est.-p0)/sqrt(p0*q0/n)
where, p0=null hypothesis value
p est.=observed proportion
q0=1-p0
test z at 5% level of sisnificance. if calculated z less than tabulated z value then accept the null hypothesis, otherwise reject the H0.