Question #348399

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 Ho:

Hypotheses H1:

Alternative Ho:

Hypotheses H1:



1
Expert's answer
2022-06-06T23:51:32-0400

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%.

H0:p0.1H_0: p\le0.1

H1:p>0.1H_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.

H0:μ1=μ2H_0: \mu_1=\mu_2

H1:μ1μ2H_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.

H0:p1p2H_0: p_1\ge p_2

H1:p1<p2H_1:p_1<p_2

One-tailed, left-tailed test.


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