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

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

Fundamentals
Formula for p-value is image

Answer:

From the given information,
Null hypothesis:
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Alternative hypothesis:
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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.
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Explanation:
The p-value is calculated by the probability of Z less than –1.74, which is obtained from standard normal table.