Finished the 3 statistic question in the attached file

1. You want to compare the commute times of students who were born in California against
the commute times of students who were not born in California (v6_borninca). Is there a
significant difference in commute times between the two groups?
a. State the null and alternative hypotheses
b. Find the t-statistics and p-value
c. State the conclusion of the significance test in words.
d. What is the 95% confidence interval for the difference? Please explain how this
relates to your conclusion in part c.
2. The variable v6_borninca indicate whether a student was born in CA or somewhere else.
Use this variable to answer the following questions. We are still assuming that our dataset
is a random sample of students living in LA.
a. What is the sample proportion ( ̂)of students who were born in CA?
b. The statistics in part a can be used to estimate the population parameters. What
are the estimated population proportion and its standard error?
c. What is the 95% confidence interval for the estimated proportion of CA-born
students?
3. Is the proportion foreign born among LA students (using our SOCI113 as a sample)
different from the overall state average of 55%1
?
a. State the null and alternative hypotheses
b. Find the test-statistics (z) and p-value
c. State the conclusion of the significance test in words.

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