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. 5. A student organization that promotes diversity believes that the percentage of minority students is no longer 35%. In a random sample of 250 students, 97 of the students are minorities. Does this evidence support the organization’s claim that the percentage of minority students is not 35% at the 0.01 level of significance? The registrar reports that 38% of currently enrolled students are minorities according to their admissions records. Based on this new information, did the organization draw the correct conclusion? If not, what type of error was made?
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.
5. A student organization that promotes diversity believes that the percentage of minority students is no longer 35%. In a random sample of 250 students, 97 of the students are minorities. Does this evidence support the organization’s claim that the percentage of minority students is not 35% at the 0.01 level of significance? The registrar reports that 38% of currently enrolled students are minorities according to their admissions records. Based on this new information, did the organization draw the correct conclusion? If not, what type of error was made?
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