Question

An educational psychologist wants to test whether a new teaching method positively affects reading comprehension scores using a significance level of 0.01. The mean reading comprehension scores of students using the old method has a value of 34 . Assume scores in the population are distributed normally. State the Null and Alternative Hypotheses.

Answer 1

Null hypothesis

H0 : μ = 34

Alternative hypothesis

H1 : μ ≠34

Explanation:

Given data The mean reading comprehension scores of students using the old method has a value of 34

The population mean μ = 34

Null hypothesis :-H0

The hypothesis that specifies a default course of action unless contradicted

by data.

Alternative hypothesis(H1)

A hypothesis that contradicts the assertion of the null hypothesis

Null hypothesis

H0 : μ = 34

Alternative hypothesis

H1 : μ ≠34

Answer 2

Null Hypothesis,
`H_0` :
`\mu \leq` 34

Alternative Hypothesis,
`H_a` :
`\mu` > 34

Explanation:

We are given that an educational psychologist wants to test whether a new teaching method positively affects reading comprehension scores using a significance level of 0.01.

The mean reading comprehension scores of students using the old method has a value of 34.

Firstly, as we know that the testing is done always on the population parameter.

Let
`\mu` = mean reading comprehension scores of students after using the new teaching method

SO, Null Hypothesis,
`H_0` :
`\mu \leq` 34 {means that the new teaching method does not affects the reading comprehension scores}

Alternate Hypothesis,
`H_a` :
`\mu` > 34 {means that the new teaching method positively affects the reading comprehension scores}

Also, to get on the conclusion of which hypothesis to choose we need additional data and due to which we will be able to calculate our test statistics and reach on a conclusion.