For Problems 1 - 5, perform each hypothesis test. Assume that all random samples had an equal chance of being chosen. For each problem, complete the following steps:(a) State the null and alternative hypothesis.(b) Determine which distribution to use for the test statistic, and state the level of significance. (c) Calculate the test statistic.(d) Draw a conclusion and interpret the decision. While trying to convince her friends that more than half of all sophomores live off campus, Brenda took a survey of a random sample of sophomores and collected the following data. Does this evidence support Brenda’s claim that more than half of all sophomores live off campus at the 0.10 level of significance?   On Campus Off Campus Male 25 47 Female 38 19 A friend of Brenda’s went to the registrar’s office and found out that actually 975 out of 3788 sophomores lived off campus this year. Based on this information, did Brenda make an error in her conclusion? If so, what type of error did she make?

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For Problems 1 - 5, perform each hypothesis test. Assume that all random samples had an equal chance of being chosen. For each problem, complete the following steps:
(a) State the null and alternative hypothesis.
(b) Determine which distribution to use for the test statistic, and state the level of significance.
(c) Calculate the test statistic.
(d) Draw a conclusion and interpret the decision.

  1. While trying to convince her friends that more than half of all sophomores live off campus, Brenda took a survey of a random sample of sophomores and collected the following data. Does this evidence support Brenda’s claim that more than half of all sophomores live off campus at the 0.10 level of significance?
 

On Campus

Off Campus

Male

25

47

Female

38

19

A friend of Brenda’s went to the registrar’s office and found out that actually 975 out of 3788 sophomores lived off campus this year. Based on this information, did Brenda make an error in her conclusion? If so, what type of error did she make?

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