Question

Two types of phone operating system are being tested to determine

if there is a difference in the proportions of system failures (crashes). Fifteen out of a random sample of 150 phones with $O{S}_1$had system failures within the first eight hours of operation. Nine out of another random sample of 150 phones with $O{S}_2$had system failures within the first eight hours of operation. $O{S}_2$is believed to be more stable (have fewer crashes) than $O{S}_1$.

What can you conclude about the two operating systems?

Short answer

There is insufficient evidence to reject the null hypothesis at the 5 percent level of significance, thus the data do not reveal that $OS{}_2$has fewer system failures than${OS}_1$.

Step-by-step solution

Given information  

Phone operating systems$O{S}_1$and$O{S}_2$.

Conclusion about the two operating systems 

The level of significance is at $5\%$ that is $\alpha =0.05$.

The output of the previous exercise 10.49 is :

If $\alpha <p$is a positive number, the null hypothesis is not rejected.

There is insufficient evidence to reject the null hypothesis at the $5\%$level of significance, thus the data do not reveal that $O{S}_2$has fewer system failures than localid="1652985249407" $O{S}_1$.