Question

According to an article by George Will (San Jose Mercury News, Feb. 28, 2002), the average U.S. consumption per person per year of French Fries is 28 pounds. Suppose that you believe that the average in Santa Clara County is not 28 pounds. You randomly survey 50 people in this county. The sample average is 24 pounds with a sample standard deviation of 10 pounds. Conduct an appropriate hypothesis test. The p-value for this test is:________.

a. 0.0068
b. 0.0034
c. 0.0136
d. 0.0047

Answer 1

Answer: d. 0.0047

Step-by-step explanation: The p-value is the calculated value used to compare to the significance level to determine if you reject or fail to reject the null hypothesis.

To find p-value, first find the z-score:

z =
`(x-\mu)/(SE)`

x is sample mean

μ is population mean

SE is standard error calculated by
`(s)/(√(n) )`

SE =
`(10)/(√(50) )`

SE = 1.414

z =
`(24-28)/(1.414)`

z = - 2.83

The hypotheses (
`H_(0), H_(a)`) are if sample mean is equal or different from the average given, so, p-value will be the value of z from z-table multiplied by 2:

p-value = 0.00233*2

p-value = 0.0047

The p-value for this test is 0.0047