Is Z-Score Testing Appropriate for Comparing These Population Proportions?

[chadwae]

So I have a sample population made up of:

59 people 20-24 years old
69 people 25-29 years old
TOTAL 128

to compare to the US population which was:

21,585,999 people 20-24 years old
21,101,849 people 20-29 years old

Then I have in the same groups

35 males (US pop 21,649,767)
93 females (US pop 21,038,081)

I used z-scores to compare them for similarity, but I'm thinking there may be a better way to do it. I thought maybe of a chi-square analysis for each, but I can't get that to work... Is z-score testing appropriate here or is there a better way?

 

[I like Serena]

So I have a sample population made up of:

59 people 20-24 years old
69 people 25-29 years old
TOTAL 128

to compare to the US population which was:

21,585,999 people 20-24 years old
21,101,849 people 20-29 years old

Then I have in the same groups

35 males (US pop 21,649,767)
93 females (US pop 21,038,081)

I used z-scores to compare them for similarity, but I'm thinking there may be a better way to do it. I thought maybe of a chi-square analysis for each, but I can't get that to work... Is z-score testing appropriate here or is there a better way?

Hi chadwae! Welcome to MHB! ;)

We're comparing 2 population proportions here.
The standard test for that is a z-test.
See for instance here or here.