In P value, I don\'t understand why P value is 0.033 from Z=2.13. I think 0.033

Question

In P value, I don't understand why P value is 0.033 from Z=2.13. I think 0.033 is from Z=-2.13. Please explain in detail.

In a previous year, 55% of females aged 15 years of age and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 years of age and older and finds that 413 are living alone. Is there sufficient evidence at the = 0.1 level of significance to conclude the proportion has changed? H1 p 0.55 Ho:p=0.55 H1 : p # 0.55 H1 : p = 0.55 Ho : p

Explanation / Answer

here the hypothesis is two tailed test

hence

p-value = P(|Z| > 2.13)

= 1 - P(-2.13 < Z < 2.13)

= 0.0333

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