Question

An instructor at a major research university occasionally teaches summer session and notices that that there are often students repeating the class. Out of curiosity, she designs a random sample of students enrolled in summer sessions and counts the number repeating a class. She counts 105 students in the sample, of which 19 are repeating the class.She hypothesizes that, in general, 10% of students repeat a course. The hypotheses to be tested are:
a) H0:p? =0.181 vs. H?:p=0.1 .
b) H0:p=0.1 vs. H?:p?0.18 .
c) H0:p=0.1 vs. H?:p? =0.181 .
d) H0:p=0.1 vs. H?:p?0.1 .

Answer 1

Answer:

We want to test the the claim that in general, 10% of students repeat a course and thats what we want to verify so then the system of hypothesis are:

Null hypothesis: $p =0.1$

Alternative hypothesis $p \neq 0.1$

And the best option for this case is given:

d) H0:p=0.1 vs. H1:p $\neq$ 0.1

Step-by-step explanation:

For this case we have the folloing info:

$X= 19$ number of people repeating the class

$n =105$ the sampel size selected

$\hat p =\frac{19}{105}=0.181$ the estimated proportion of people repeating the class

We want to test the the claim that in general, 10% of students repeat a course and thats what we want to verify so then the system of hypothesis are:

Null hypothesis: $p =0.1$

Alternative hypothesis $p \neq 0.1$

And the best option for this case is given:

d) H0:p=0.1 vs. H1:p $\neq$ 0.1 .