Answer:
The p value for this case would be given by:
Since the p value is very high ant any significance level we will have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the true mean is not significantly different from 90.1 and the method not shows a significantly effect in the scores.
Step-by-step explanation:
Information provided
represent the sample mean for the scores on the standardized test in the general population of 6th graders
represent the population standard deviation
sample size
represent the value that we want to verify
z would represent the statistic
represent the p value for the test
System of hypothesis
We want to verify if the new teaching method negatively affects reading comprehension scores, so then the system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation the statistic would be:
(1)
Replacing the info given we got:
The p value for this case would be given by:
Since the p value is very high ant any significance level we will have enough evidence to FAIL to reject the null hypothesis, so then we can conclude that the true mean is not significantly different from 90.1 and the method not shows a significantly effect in the scores.