magnitude – How can I interpret the output of indexing an fft in python?

I am looking to determine whether a given audio file contains a certain frequency, similar to this question. However, as a beginner, I need help understanding the output.

If I am understanding the linked question correctly, we start by observing the fftfreq output, which is the x axis if understood graphically. Since my sampling rate is 44kHz, the fftfreq contains approximately 22,000 bins. If I wanted to query what magnitude occurred at 800hz, I would simply access value = fftfreq_output[800], then index the actual fft values using this new value like so: fft_output[value]. However, I am confused by the values that are returned. My code is below:

from import wavfile
from scipy.fft import fft, fftfreq
from matplotlib import pyplot as plt
import numpy as np
import pandas as pd

user_in = input("Please enter the relative path to your wav file --> ")
sampling_rate, data =
print("sampling rate:", sampling_rate)

duration = len(data) / float(sampling_rate)
print("duration:", duration)

number_samples_in_seg = int(sampling_rate * duration)
fft_of_data = fft(data)
fft_bins_from_data = fftfreq(number_samples_in_seg, 1 / sampling_rate)
fft_bins_from_data = fft_bins_from_data[0:number_samples_in_seg//2]
fft_of_data = abs(fft_of_data[0:number_samples_in_seg//2])

value = fft_bins_from_data[800]

output = fft_of_data[int(value)]


inputing a random wav file of a conversation, my output is this:


My questions are:

  1. Am I properly indexing the fft_output?

  2. How can I interpret these
    numbers to observe what is the magnitude of the signal at a
    frequency of 800hz?

Thank you for any help.

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