# the price of apples in NY is 20% higher than that in LA

i did this calculation.

i took the hypothesized mean to be 0.20(20%)

i got my T-score as 4.66(subtracted the hypothesized diff from the diference of their means and divided by the standard error)

my p-value is 0.00261*2 = 0.005 (since it's two tailed)

p-value < 0.01 so i can accept this null hypothesis. apples are probably 20% more expensive in NY

please i'll like to know if i'm wrong, and what i could do better.

okay i made so many errors(face palm)

the t-score (i divided by the pooled stdev instead of the standard error)

i also multiplied the p-value by 2 (forgot the site gave me the exact 2 tailed value)

made the wrong decisions even if my values were correct.(more face palms for the road)

wrong equality sign(i blame my coffee for this lol)

new values:

T-score = 6.74

The *p*-value is < 0.00001

i'm not sure how to interpret this. i think i should reject the null hypothesis(strongly) as th p-value is so close to zero

the tricky thing is they said the price is 20% higher, so i'm not sure if it's my opinion or the status quo

my conclusion is this though: i reject the null hypothesis, the difference in price is not exactly 20%