Question

Suppose that 1000 customers are surveyed, and 850 are satisfied or very satisfied with a corporation’s products and services. Test the hypothesis against H_0 :p = 0.5. Find the p-value.

Option 1: 0.032
Option 2: 0.125
Option 3: 0.001
Option 4: 0.275

Answer 1

To test the hypothesis against H_0 :p = 0.5, we need to calculate the p-value. The p-value represents the probability of observing a result as extreme as, or more extreme than, the one obtained, assuming the null hypothesis is true. In this case, the p-value is 0.032.

Step-by-step explanation:

To test the hypothesis against H0: p = 0.5, we need to calculate the p-value.

The p-value is a measure of the strength of evidence against the null hypothesis. It represents the probability of observing a result as extreme as, or more extreme than, the one obtained, assuming the null hypothesis is true.

In this case, we have 850 satisfied or very satisfied customers out of 1000 surveyed. We can calculate the p-value using the binomial distribution.

The p-value for this test is Option 1: 0.032