# 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.  π > .25  π ≠ .25  π < .25

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. π > .25 π ≠ .25 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:

H0: π = 0.25

Alternative hypothesis:

H1: π ≠ 0.25

Step 3

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

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