Help on Inferential statistics: hypothesis testing for two populations?
For my assignment I was given this question and I'm completely stumped.
Mobile Internet is becoming exponentially more popular, as newer phones are browser-friendly and support Wi-Fi technology. The table below provides the results of a survey collecting data on the extent to which individuals having iPhones and individuals having Android phones use their network provider's mobile network to access the Internet. Given these statistics, is Internet access through a provider's mobile network more common with Android users? Use =
Stats for iPhone users:
Sample size - 600
Internet access via Provider's Mobile Network - 360
Stats for Android users:
Sample size - 600
Internet access via Provider's Mobile Network - 420
What i'm confused about, is it even possible to calculate this with only this info given? Don't you need the sample mean and standard deviation? There's no additional info other than this, so i can't compute the sample mean and standard deviation manually, so i must be missing something here?
Here's how I see it: You can calculate the sample mean, and the standard deviation. You're looking to compare the difference in sample means. The parameter of interest is the population that uses the provider's mobile network. The proportion of users of their provider's mobile network is: the number of individuals in category of interest divided by the number of individuals in the sample.
p = the population proportion (parameter)
= sample proportion (statistic)
And so in the iPhone user sample = 360/600 which = 0.6
In the Android sample = 420/600 = 0.7
I think what you need to do is test these hypotheses:
Null: That internet access through the provider's network is as common with iPhone users as it is with Android users (Ho: =
Alternative: That internest access through the provider's network is more common with Android users than it is with iPhone users (Ha: - > 0)
But I'll be honest, I've been trying to figure this out myself for a while now, mostly because I'm trying to remember the process and I can't figure it out. I'm gonna try to work on it a bit more and get back to you, but for now I"m getting a z-score of 5, but I don't think that's correct…
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