Asked by Allison Bartley on May 03, 2024
Verified
Some people who bought X-Game gaming systems complained about having received defective systems.The industry standard for such gaming systems has been 98% non-defective systems.In a sample of 120 units sold, 6 units were defective.
a.
Compute the proportion of defective items in the sample.
b.
b.
Compute the standard error of 
.
c.
At a 5% level of significance using the critical value approach, test to see if the percentage of defective systems produced by X-Game has exceeded the industry standard.
d.
Show that the p-value approach results in the same conclusion as that of part
Standard Error
Refers to the standard deviation of the sampling distribution of a statistic, often used as an estimate of the precision of a sample mean or proportion.
Level of Significance
The predetermined threshold in hypothesis testing, below which the null hypothesis is rejected, indicating statistical significance.
Industry Standard
A set of criteria within an industry relating to the quality, safety, and performance of products and services accepted as the norm.
- Understand how to set up null and alternative hypotheses for various statistical tests.
- Understand the concept of p-value and its computation.
- Determine the conclusion based on the p-value and the level of significance for hypothesis testing.
Verified Answer
MH
Marwa HajayMay 10, 2024
Final Answer :
a.
.05
b.
.0128
c.
Test statistic z = 2.35 > 1.645; reject H0; the number of defects has exceeded the industry standard.
d.
p-value (.0094) < .05; reject H0.
a.
.05
b.
.0128
c.
Test statistic z = 2.35 > 1.645; reject H0; the number of defects has exceeded the industry standard.
d.
p-value (.0094) < .05; reject H0.
Learning Objectives
- Understand how to set up null and alternative hypotheses for various statistical tests.
- Understand the concept of p-value and its computation.
- Determine the conclusion based on the p-value and the level of significance for hypothesis testing.