n Academician claims that the proportion of students in private schools is around 11%. A random sample of 450 students from a wide geographic area indicated that 55 attended private schools. i) What is the variable of interest in this problem? ii) What is the parameter of interest? iii) Test the claim of the Academician at significance level of 0.05 using 5-step procedure of hypothesis testing by using critical values and interpret the results.
An Academician claims that the proportion of students in private schools is
around 11%. A random sample of 450 students from a wide geographic area
indicated that 55 attended private schools.
i) What is the variable of interest in this problem?
ii) What is the parameter of interest?
iii) Test the claim of the Academician at significance level of 0.05 using 5-step
procedure of hypothesis testing by using critical values and interpret the results.
iv) Calculate the p-value of this test and make decision.
v) The statistical test you applied in part iii) cannot be applied unless 4 assumptions
of Binomial distribution are met. Verify those 4 assumptions related to the
above question (Don’t write just the assumptions)
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