Question

Nala wrote an app that has both a desktop and a mobile version. She wonders which platform is more common, so she takes a sample of 800 users from over 1000 active users. She wants to use the sample data to test H0:p=0.5 versus Ha:p≠0.5, where p is the proportion of all users who are using the mobile version. Which conditions for performing this type of test did Nala's sample meet?

Option 1: Random sampling
Option 2: Normality of the data
Option 3: Independence of observations
Option 4: Large sample size

Answer 1

Option 1), 2) and 4). To perform the hypothesis test for comparing the proportions of desktop and mobile app users, Nala's sample must meet the conditions of random sampling, independence of observations, and a large sample size.

Step-by-step explanation:

To perform a hypothesis test to compare the proportions of users on the desktop and mobile versions of the app, Nala's sample needs to meet certain conditions:

1. Random sampling: Nala should have randomly selected the 800 users from the 1000 active users to ensure representativeness.
2. Independence of observations: Each user's choice of platform should be independent of each other.
3. Large sample size: The sample size of 800 is considered large enough for the test.