Answer
Step 1:
$H_0$ : The proportions of the shoppers using different types of shopping bags are as follows: 60% of respondents used reusable shopping bags, 32% used plastic, 8% used paper.
$H_1$: The distribution is not the same as stated in the null hypothesis.
Step 2:
Since α=, and the degrees of freedom are 3-1=2 , the critical value is 9.210.
Step 3:
Expected Value:
0.6 * 300 = 180
0.32 * 300 = 96
0.08 * 300 = 24
Test Value :
χ2 = Σ $\frac{(O-E)^{2}}{E}$ =$\frac{(152-180)^{2}}{180}$ + $\frac{(120-96)^{2}}{96}$ + $\frac{(28-24)^{2}}{24}$
=4.356+6+0.6667
=11.022
Step 4:
Since 11.022 > 9.210, the decision is to reject the null hypothesis.
Step 5:
There is enough evidence to reject the claim that the distribution is 60% used reusable shopping bags, 32% used plastic and 8% used paper.
