Question

Consider each of the statements below. For each statement, decide whether it is sometimes, always, or never a true statement.

   ?    Always    Sometimes    Never      1. In a hypothesis test, the direction of the alternative hypothesis (right-tailed, left-tailed, or two-tailed) affects the way the effect size is estimated.

   ?    Always    Sometimes    Never      2. In a hypothesis test, the direction of the alternative hypothesis (right-tailed, left-tailed, or two-tailed) affects the way the p-value is computed.

   ?    Always    Sometimes    Never      3. A hypothesis test that produces a ?p-value <0.001<0.001 will produce an effect size |?̂|>0.8|d^|>0.8

   ?    Always    Sometimes    Never      4. If two identical studies on the same topic both produced estimated effect sizes less than ?̂=0.6d^=0.6, a third study that uses the same procedures will also produce an estimated effect size less than 0.60.6.

   ?    Always    Sometimes    Never      5. In general, increasing the sample size in a statistical study will decrease the standard error of the statistic computed from the sample.

Answer 1

Solution:-

Never      1. In a hypothesis test, the direction of the alternative hypothesis (right-tailed, left-tailed, or two-tailed) affects the way the effect size is estimated.

, hence the effect size is not dependent on direction of alternate hypothesis.

Always   2. In a hypothesis test, the direction of the alternative hypothesis (right-tailed, left-tailed, or two-tailed) affects the way the p-value is computed.

p-value is calculated differently for right and left tailed test.

p-value is calculated differently for two tailed test.

Sometimes  3. A hypothesis test that produces a p-value < 0.001 will produce an effect size |?̂| > 0.8

The effect size is not dependent on p-value, , a hypothesis test that produces a p-value < 0.001 will may or may not produce an effect size |?̂| > 0.8.

Sometimes 4. If two identical studies on the same topic both produced estimated effect sizes less than d = 0.6, a third study that uses the same procedures will also produce an estimated effect size less than 0.6.

Always   5. In general, increasing the sample size in a statistical study will decrease the standard error of the statistic computed from the sample.

Sample size and standard error are inversely proportional to each other.