Hello guys, I don't know if I'm doing this right and need some thoughts
So my thesis goes like this  I have 73 samples of enteroccoci. I had to test them all using 3 different biochemical tests and a mollecular method  PCR, which should provide the results that are closest to true
My objectives are  1. To check the P value between the tests themselves and 2. with the molecular method
Here's what I tried so far  I don't know if I done it correctly or if I'm even taking the right path
I counted how many of the biochemical test samples provided true answers (showed the same species of enterococcus as the PCR) (pic attached)
Test A got 46/76 samples right
Test B got 72/76 samples right
I checked what test would fit here and tried doing the two proportions Z test (am I right to use that in this case?)
Trying to compare the two biochemical test results I had formed a hypothesis:
H0: two proportions are the same
H1: two proportions are not the same
I dug up the formula:
p1=0.605; p2=0.947;n1=n2=72; p=(42+72)/152=0.756
and if I did the math right I got z=4.90886
So... Did I do anything right and what can I do with the number? I entered it at https://www.socscistatistics.com/pvalues/normaldistribution.aspx and it gave me "The PValue is < .00001.
The result is significant at p < .05.". Can I safely say that null hypothesis is rejected and continue doing that with the other tests?
Thanks for any and all the help in advance
So my thesis goes like this  I have 73 samples of enteroccoci. I had to test them all using 3 different biochemical tests and a mollecular method  PCR, which should provide the results that are closest to true
My objectives are  1. To check the P value between the tests themselves and 2. with the molecular method
Here's what I tried so far  I don't know if I done it correctly or if I'm even taking the right path
I counted how many of the biochemical test samples provided true answers (showed the same species of enterococcus as the PCR) (pic attached)
Test A got 46/76 samples right
Test B got 72/76 samples right
I checked what test would fit here and tried doing the two proportions Z test (am I right to use that in this case?)
Trying to compare the two biochemical test results I had formed a hypothesis:
H0: two proportions are the same
H1: two proportions are not the same
I dug up the formula:
p1=0.605; p2=0.947;n1=n2=72; p=(42+72)/152=0.756
and if I did the math right I got z=4.90886
So... Did I do anything right and what can I do with the number? I entered it at https://www.socscistatistics.com/pvalues/normaldistribution.aspx and it gave me "The PValue is < .00001.
The result is significant at p < .05.". Can I safely say that null hypothesis is rejected and continue doing that with the other tests?
Thanks for any and all the help in advance
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