Students at a college were surveyed about whether they are in favor of or opposed to an increase of fees in order to build a new sports complex. The results of the student responses, broken down by gender, are found in the following table. Male Female In favor 126 105 Opposed 84 115 Is the proportion of male students in favor of the fee increase significantly different from the proportion of female students in favor of the fee? Carry out a significance test of this problem at alpha = .05. Provide each of the following in your answer. a) State the null and alternative hypotheses for this problem situation. Use correct notation. b) Compute the test statistic c) List the critical value(s) and make a decision by comparing the test statistic to the critical value(s). d) List the p-value and make a decision by comparing the p-value to alpha. e) In 1-2 complete sentences, state the conclusion of this test in the context of the problem situation.
Students at a college were surveyed about whether they are in favor of or opposed to an increase of fees in order to build a new sports complex. The results of the student responses, broken down by gender, are found in the following table.
Male Female
In favor 126 105
Opposed 84 115
Is the proportion of male students in favor of the fee increase significantly different from the proportion of female students in favor of the fee? Carry out a significance test of this problem at alpha = .05.
Provide each of the following in your answer.
a) State the null and alternative hypotheses for this problem situation. Use correct notation.
b) Compute the test statistic
c) List the critical value(s) and make a decision by comparing the test statistic to the critical value(s).
d) List the p-value and make a decision by comparing the p-value to alpha.
e) In 1-2 complete sentences, state the conclusion of this test in the context of the problem situation.
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