Question

The Heavenly Grace Christian Elementary School has decided to examine whether using biblical materials to teach reading has an impact on reading levels. Last year, a test revealed that the average sixth-grade student read at a 5.7 grade level. This year, after all secular humanist material was deleted from the curriculum, a 20-person sample of the sixth-grade student body was tested, with the following results:

mean = 6.4 standard deviation =1.9

Present a hypothesis and a null hypothesis, and evaluate them. State your conclusion in plain English.

Answer 1

Solution :

Given that,

Population mean = = 5.7

Sample mean = = 6.4

Sample standard deviation = s = 1.9

Sample size = n = 20

Level of significance = = 0.05

This is a two tailed test.

The null and alternative hypothesis is,

Ho: 5.7

Ha: 5.7

The test statistics,

t = ( - )/ (s/)

=( 6.4 - 5.7 ) / ( 1.9 /20 )

= 1.648

P- Value = 0.1159   

The p-value is p = 0.1159 > 0.05, it is concluded that the null hypothesis is not rejected.

Conclusion :

It is concluded that the null hypothesis Ho is fail to rejected. Therefore, there is not enough evidence to claim that the average sixth-grade student read at a 5.7 grade level., at the 0.05 significance level.