91Ó°ÊÓ

To determine that the percent of Hispanic students at the two colleges is basically the same or different.

Subscripts:$1=$Cabrillo College, $2=$Lake Tahoe College
(a) The null hypothesis is determined as:

$H0:p1=p2$
(b) The alternate hypothesis is determined as:

$H0:p1≠p2$
(c) The random variable is the difference in Hispanic student proportions at Cabrillo College and Lake Tahoe College.
(d) Two proportions are normal.
(e) Using Minitab's two sample t test option is determined as:

Hence, the test statistics is $4.58$.

(f) The $p$-value from the output is determined as $0.00$.
(g) There is no need for a graph.
(i) $\mathrm{Î\pm }=0.05$
(ii) Decision: reject the null hypothesis.
(iii) Reason for Decision: $p$-value $<\mathrm{Î\pm }$.
(iv) As a result: There is enough data to indicate that Cabrillo College and Lake Tahoe College have differing proportions of Hispanic students.