**For a test of Ho: p = 0.5, the z test statistic equals -1.74. Find the p-value for Ha: p < 0.5.**

**Concepts and reason**

**Fundamentals**

Formula for p-value is

**Answer:**

From the given information,

Null hypothesis:

Alternative hypothesis:

That is, the alternative hypothesis is one-sided hypothesis. Hence, the p-value is obtained for left tailed test.

**Explanation:**

The objective of the problem is finding the value of p for left-tail test by using standard normal table.

From the given information, the value of test statistic is –1.74.

**Explanation:**

The p-value is calculated by the probability of Z less than –1.74, which is obtained from standard normal table.