Answer to Question #348399 in Statistics and Probability for Someone

Question

State the NULL and the ALTERNATIVE HYPOTHESES of the following statements in symbols and in word, write if it is TWO-TAILED TEST or ONE-TAILED TEST.

1. The enrollment in Catarman National High School this school year rises by 10%.
2. The number of male grade 11 students is identical to the number of female students.
3. The Catarman National High School wants to test if the students in Grade 11 prefer modular learning as the method of instruction.

From 1-3 :

Null H_o:

Hypotheses H₁:

Alternative H_o:

Hypotheses H₁:

Answer 1

1.

Null Hypothesis: The enrollment in Catarman National High School this school year rises at most by 10%.

Alternative Hypothesis: The enrollment in Catarman National High School this school year rises greater than by 10%.

$H_0: p\le0.1$

$H_1:p>0.1$

One-tailed, right-tailed test.

2.

Null Hypothesis: The number of male grade 11 students is identical to the number of female students.

Alternative Hypothesis: The number of male grade 11 students is not identical to the number of female students.

$H_0: \mu_1=\mu_2$

$H_1:\mu_1\not=\mu_2$

Two-tailed test.

3.

Null Hypothesis: the students in Grade 11 don't prefer modular learning as the method of instruction.

Alternative Hypothesis: the students in Grade 11 prefer modular learning as the method of instruction.

$H_0: p_1\ge p_2$

$H_1:p_1<p_2$

One-tailed, left-tailed test.