Answer
From 100 samples, 11 sample are those in which the hypothesis is rejected and 89 samples are those in which the hypothesis is not rejected. Consider the 89 samples, it is seen that p-value is higher than 0.1. Hence, the hypothesis cannot be rejected.
Work Step by Step
There are 100 simulated samples with size 40 whose proportion is 0.3. To test the hypothesis, StatCrunch software is used. The steps are provided below:
Step 1: Go to StatCrunch.
Step 2: Select Applets and select hypothesis test for a proportion.
Step 3: Enter the value of proportion and select hypothesis test for p.
Step 4: Enter the initial significance level.
Step 5: Enter the sample size.
Step 6: Click compute.
Hence, it can be concluded from the solution that the hypothesis cannot be rejected.
