Question

Calvin thinks a certain potato chip maker is putting less product in their personal-sized bags of chips. In the past, these bags contained one ounce of product. Calvin conducted a test of H0:μ=1vs. HA:μ<1. From a random sample of 23 bags of potato chips he calculated a p - value of 0.086 for the sample.
(a) At a 5% level of significance, is there evidence that Calvin is correct? (Type Yes or No):

(b) At a 10% level of significance, is there evidence that he is correct? (Type Yes or No):

Answer 1

Answer:

a) There are no evidence that Calvin is correct.

b) There are evidence that Calvin is correct.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1 ounce

Sample size, n = 23

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1\text{ ounce}\\H_A: \mu < 1\text{ ounce}$

P-value =  0.086

a) Significance level = 5% = 0.05

Since

P-value > Significance level

We fail to reject the null hypothesis and accept it. Thus, the chips bag contain one ounce of product. Thus, there are no evidence that Calvin is correct.

b) Significance level = 10% = 0.10

Since

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the chips bag contain less than one ounce of product. Thus, there are evidence that Calvin is correct.