T-Mobile believes that the % of people who change cellular providers in a year has changed...
T-Mobile believes that the % of people who change cellular providers in a year has changed based on market demographics . 19% is the well accepted population proportion of people who change providers. T Mobile samples 80 people: 20 of them say they switched providers in 2018. T- Mobile set alpha=0.07. Calculate the p value for this scenario enter to 3 decimal places. Before you solve, what is the check for this type of problem and did it pass?
Homework Answers
Null and alternative hypotheses are
Ho : p = 0.19 Vs H1 : p 
0.19
Test statistic Z = (p^ - p)/Sqrt [p*q/n]
Where p^ = 20/80 = 0.25
Z = ( 0.25 - 0.19)/sqrt[0.19*0.81/80]
Z = 1.37
p-value for Z = 1.37 and two tailed test
p-value = 2 * P( Z > 1.37)
p-value = 0.171
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