Asked by Arisel Santini on May 31, 2024
Verified
You are interested in determining if the average amount of time (in hours) that students spend on the Internet per day is greater than 2 hours.The data below are from a random sample of 11 students. 
Would the null hypothesis be rejected at the .05 significance level after removing the second observation (value = 100) ?
A) Yes,because the P-value is greater than .05.
B) Yes,because the P-value is less than .05.
C) No,because the P-value is greater than .05.
D) No,because the P-value is less than .05.
Null Hypothesis
In statistical hypothesis testing, a statement that there is no effect or no difference, and any observed deviation from this is due to sampling or experimental error.
Significance Level
The probability of rejecting the null hypothesis in a statistical test when it is actually true, commonly denoted by alpha.
P-value
A measure in statistics that helps to determine the significance of results obtained in hypothesis testing, indicating the probability of observing the results if the null hypothesis is true.
- Work out the standard error and realize its pivotal importance in the process of conducting hypothesis tests.
Verified Answer
TC
Taryn CurlessJun 01, 2024
Final Answer :
C
Explanation :
Removing the second observation (value = 100) changes the data significantly as it is an outlier. Based on the remaining data points, the t-test statistic is -0.33 and the corresponding P-value is 0.376, which is greater than the significance level of 0.05. Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average amount of time students spend on the Internet per day is greater than 2 hours.
Learning Objectives
- Work out the standard error and realize its pivotal importance in the process of conducting hypothesis tests.