Raul Walker

2022-07-09

According to a very large poll in 2015, about 90% of homes in California had access to the internet. Market researchers wonder if that proportion is now higher, so they take a random sample of 200 homes in California and find that 196 have access to the internet. They want to use this sample data to test H0:p = 0.9 versus Ha:p > 0.9, where p is the proportion of California homes with internet access. Which conditions for performing this type of significance test have been met?
I. The data is a random sample from the population of interest.
II. np ≥ 10 and n (1 - p) ≥ 10
III. Individual observations can be considered independent.

Asdrubali2r

Expert

All three condition conditions will apply
Cheking for (II) condition. That is

When data has random sampling, (I) and (III) condition will automatically met.

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