Question

Comparing Two Independent Population Proportions.

Use the following information for the next five exercises. 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 is the p-value?

Short answer

The value of$p$is $0.100821$

Step-by-step solution

Given Information

Two different phone operating systems are being compared to see if the proportions of system breakdowns change (crashes). Within the first eight hours of operation, fifteen of a random sample of $150$phones with $O{S}_1$encountered system failures. Within the first eight hours of operation, nine out of $150$phones with $O{S}_2$had system faults. $O{S}_2$is thought to be more stable than $O{S}_1$(with fewer crashes).

Determine the p-value 

STAT and $\to$are used to find the p-value.

TESTS must be selected twice.

Simplifying

Choose the two-sample T test and enter the code as shown.

Once you've completed all of the sample entries, press ENTER to get the following results:

The resultant p-value is$0.100821$.