Asked by Sumeet Bhangu on May 16, 2024
Verified
The principal of a high school randomly selected 30 students to take a math test.Of the 30 students who wrote the test,19 scored more than 75%,4 scored exactly 75%,and 7 scored below 75%.Perform a sign test to determine if the median score is greater than 50% using a 1% level of significance.
Sign Test
A non-parametric statistical test used to determine if there is a significant difference between paired observations.
Median Score
The median score is the middle value in a set of numbers arranged in ascending order, effectively dividing the dataset into two equal halves.
Level Of Significance
The threshold in hypothesis testing that determines if the null hypothesis can be rejected, commonly denoted by alpha (α).
- Acquire knowledge on the principle and employment of the sign test in median analysis.
- Acquire the skill to conduct statistical analysis in real-world contexts.
- Develop the skill to identify the significance level and understand its effects in hypothesis testing.
Verified Answer
TB
Tarrence BurnsMay 20, 2024
Final Answer :
H0: The median test score is 75%.That is,the true proportion of students scoring more than 75% is 0.50.HA: The true proportion of students scoring more than 75% is more than 0.50.That is,p0 > 0.50.z = 2.35.p-value = 0.0094.Reject H0.
Learning Objectives
- Acquire knowledge on the principle and employment of the sign test in median analysis.
- Acquire the skill to conduct statistical analysis in real-world contexts.
- Develop the skill to identify the significance level and understand its effects in hypothesis testing.