According to a reputable magazine, the dropout rate for all college students with loans is $$ 30 \% $$. Suppose that 128 out of 400 random college students with loans drop out. Complete parts (a) and (b) below. a. Give the null and alternative hypotheses to test that the dropout rate is not $$ 30 \% $$. $$ \mathrm{H}_{0}: \mathrm{p}=0.30 $$ $$ \mathrm{H}_{\mathrm{a}}: \mathrm{p}
eq 0.30 $$ (Type integers or decimals. Do not round.) b. Report the test statistic (z) from the output given. z = (Type an integer or a decimal. Round to four decimal places as needed.)

Question

According to a reputable magazine, the dropout rate for all college students with loans is $$ 30 \% $$. Suppose that 128 out of 400 random college students with loans drop out. Complete parts (a) and (b) below. a. Give the null and alternative hypotheses to test that the dropout rate is not $$ 30 \% $$. $$ \mathrm{H}_{0}: \mathrm{p}=0.30 $$ $$ \mathrm{H}_{\mathrm{a}}: \mathrm{p} 
eq 0.30 $$ (Type integers or decimals. Do not round.) b. Report the test statistic (z) from the output given. z = (Type an integer or a decimal. Round to four decimal places as needed.)

UpStudy AI · Accepted Answer

a. Null Hypothesis ($$ \mathrm{H}_{0} $$): Dropout rate is $$ 30\% $$. Alternative Hypothesis ($$ \mathrm{H}_{\mathrm{a}} $$): Dropout rate is not $$ 30\% $$. b. Test statistic (z) is approximately 0.8729.

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