***Please only answer this question if you\'re entirely sure how to help and exp

Question

***Please only answer this question if you're entirely sure how to help and explain! It's for a big project.

I collected all this data myself!

Essentially, I need help with calculating a z-score/p-value and a 95% confidence interval!

According to the Humane Society, the standard fee for adopting a cat (between 1 and 7 years old) is $60. However, considering personal experience with adoption fees in California, adoption fees seem to be more expensive. Is the average adoption fee price in California greater than $60?

Ho: u = 60            Ha: u > 60

Now I have to find a p-value and a confidence interval on my own.

After inputting the data into R studio, I get these summary statistics:

I calculated my z-score, but I ended up getting 5.053 which is over the z-chart limit of 3...

Am I doing something wrong? What does it mean if I have a z-score over 3? How do I convert it into a p-value?

And then I have to calculate a confidence interval (let's just make it a 95% confidence interval).

>favstatsCCATSAMPFEE2) min Q1 median Q3 max mean sd n missing 25 55 80 90 125 76.83051 25.59711 59

Explanation / Answer

The z-value calculated is correct. It is 5.053. As this z-value is greater than 3, the p-value is less than 0.00135. In order to reject or accept the hypothesis, we need to compare the significance level and p-value. So you can always take your decision accordingly.

Alos if you want to find the exact value, use advanced function like Excel function: =1-NORM.DIST(5.053,0,1,TRUE)

CI for 95% n 59 mean 76.83051 z-value of 95% CI 1.9600 std. dev. 25.59711 SE = std.dev./sqrt(n) 3.33246 ME = z*SE 6.53150 Lower Limit = Mean - ME 70.29901 Upper Limit = Mean + ME 83.36201 95% CI (70.299 , 83.362 )

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