Your Given Information: test statistic= 0.42 and p-value =0.6769. The null hypothesis is that the proportion of ball bearings with diameter values less than 2.20 cm in the existing manufacturing process is the same as the proportion in the new process. Because of this: Null hypothesis: H0: p1=p2 Alternative hypothesis: H1: p1≠p2 The level of significance is α=0.05 As, the p-value is greater than the level of significance. So, we fail to reject the null hypothesis. That is null hypothesis cannot be rejected. And conclude that YES, there is sufficient evidence to say that the two population proportions are the same. Your Peer's Given Information: The null hypothesis states that the proportion of ball bearings with diameter less than 2.20 cm from the existing manufacturing process is the same when comparing to the proportion from the new process. In contrast, the alternative hypothesis claims that the proportion of ball bearings with diameter less than 2.20 cm from the existing manufacturing process is different from the proportion from the new process. 0.05 is the level of significance. test-statistic = -0.86 two tailed p-value = 0.3912 As the above suggests the p value is greater than the level of significance and therefore the null hypothesis should not be rejected. The factory is correct in stating that the proportion of ball bearings with diameter values less than 2.20 cm in the existing manufacturing process is the same as the proportion in the new process. Review your peers' analyses and address the following questions: How does your conclusion compare to theirs? Do they have the correct conclusion based on their P-value and the level of significance? Why or why not?
Your Given Information:
test statistic= 0.42 and p-value =0.6769. The null hypothesis is that the proportion of ball bearings with diameter values less than 2.20 cm in the existing manufacturing process is the same as the proportion in the new process. Because of this:
Null hypothesis: H0: p1=p2
Alternative hypothesis: H1: p1≠p2
The level of significance is α=0.05
As, the p-value is greater than the level of significance. So, we fail to reject the null hypothesis. That is null hypothesis cannot be rejected. And conclude that YES, there is sufficient evidence to say that the two population proportions are the same.
Your Peer's Given Information:
The null hypothesis states that the proportion of ball bearings with diameter less than 2.20 cm from the existing manufacturing process is the same when comparing to the proportion from the new process.
In contrast, the alternative hypothesis claims that the proportion of ball bearings with diameter less than 2.20 cm from the existing manufacturing process is different from the proportion from the new process.
0.05 is the level of significance.
test-statistic = -0.86 two tailed p-value = 0.3912
As the above suggests the p value is greater than the level of significance and therefore the null hypothesis should not be rejected. The factory is correct in stating that the proportion of ball bearings with diameter values less than 2.20 cm in the existing manufacturing process is the same as the proportion in the new process.
Review your peers' analyses and address the following questions:
- How does your conclusion compare to theirs?
- Do they have the correct conclusion based on their P-value and the level of significance? Why or why not?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
