Population Proportion

A school claims that 70% of its students pass the math proficiency test. A researcher tests the null hypothesis H₀:p=0.70 against the alternative. If the test statistic is z=−1.8 and the critical value for a one-tailed test at α=0.05 is −1.645, what should the researcher conclude?

If the computed test statistic falls under the rejection region, what is the appropriate decision of the hypothesis?

If the null hypothesis uses > symbol, then it is a right-tailed test and the critical value is positive.

A researcher wants to determine if the proportion of voters who support a new policy is different from 50%. The null hypothesis is H₀: p=0.5. If the test statistic calculated is z=2.5, what should the researcher conclude at a significance level of α=0.05?

If the level of significance is 0.05, then it is right tailed test. Find the critical value.

The rejection region can be located on the following except.