Question

In a random sample of 900 individuals, the proportion of regular vitamin users is found to be 0.20. A two-sided 95% confidence interval is estimated for the proportion. The two-sided 95% confidence interval can be used to test the null hypothesis π = .25 against which alternative hypothesis?

We need a one-sided confidence interval to do the hypothesis test. |
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π > .25 |
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π ≠ .25 |
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π < .25 |

Step 1

It is given that the two-sided 95% confidence interval is estimated for proportion.

Step 2

**Null and alternative hypotheses:**

*Null hypothesis:*

*H*_{0}: *π* = 0.25

*Alternative hypothesis:*

*H*_{1}: *π* ≠ 0.25

Step 3

Since, the alternative hypothesis is tested for two-sided 95% c...

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