An international private school called IWB has two branches in the GCC countries, one in Oman and another in Kuwait. IWB manager believes that there is no difference in the student enrollment rate for their branch in Oman and the branch in Kuwait. A random sample of 25 students from Oman's branch was selected. The student enrollment rate in the sample found to be 24%. Another random sample of 30 students from the branch in Kuwait showed an enrolment rate of 27%. a. Find a point estimate for the difference between the population proportions for the two countries (Oman and Kuwait). b. Find a point estimate of the standard deviation for the difference between the population proportions for the two countries. c. Construct a 99% confidence interval for the difference between the population proportions for the two countries. d. State the null and alternative hypotheses. e. Test the hypothesis stated in Part d at the 1% significance level. f. What do you conclude?

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Question 2:
An international private school called IWB has two branches in the GCC countries, one
in Oman and another in Kuwait. IWB manager believes that there is no difference in the
student enrollment rate for their branch in Oman and the branch in Kuwait. A random
sample of 25 students from Oman's branch was selected. The student enrollment rate in
the sample found to be 24%. Another random sample of 30 students from the branch in
Kuwait showed an enrolment rate of 27%.
a. Find a point estimate for the difference between the population proportions for
the two countries (Oman and Kuwait).
b. Find a point estimate of the standard deviation for the difference between the
population proportions for the two countries.
c. Construct a 99% confidence interval for the difference between the population
proportions for the two countries.
d. State the null and alternative hypotheses.
e. Test the hypothesis stated in Part d at the 1% significance level.
f. What do you conclude?
Transcribed Image Text:Question 2: An international private school called IWB has two branches in the GCC countries, one in Oman and another in Kuwait. IWB manager believes that there is no difference in the student enrollment rate for their branch in Oman and the branch in Kuwait. A random sample of 25 students from Oman's branch was selected. The student enrollment rate in the sample found to be 24%. Another random sample of 30 students from the branch in Kuwait showed an enrolment rate of 27%. a. Find a point estimate for the difference between the population proportions for the two countries (Oman and Kuwait). b. Find a point estimate of the standard deviation for the difference between the population proportions for the two countries. c. Construct a 99% confidence interval for the difference between the population proportions for the two countries. d. State the null and alternative hypotheses. e. Test the hypothesis stated in Part d at the 1% significance level. f. What do you conclude?
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