Question

PLEASE HELP IF YOU KNOW STATISTICS I NEED AN ANSWER BY 9:10 A test of H0: p = 0.4 versus Ha: p > 0.4 has the test statistic z = 2.52.Part A: What conclusion can you draw at the 5% significance level? At the 1% significance level? (6 points)Part B: If the alternative hypothesis is Ha: p ≠ 0.4, what conclusion can you draw at the 5% significance level? At the 1% significance level? (4 points)

Answer 1

Part A.

If the significance level is 0.05, the conclusion depends on the P-value.

If the P-value is below 5%, the null hypothesis is rejected.

The P-value for this right-tailed test and z=2.52 given from z table is:

`P-value=P(z>2.52)=0.005868`

Decision:

You can reject H₀ at the significance level 0.05, because your p-value does not exceed 0.05.

Part B.

In this case, the significance level is 0.01 and, as the alternative hypothesis is defined with an unequal sign, the test is two-tailed.

This changes the way we calculate the P-value, as we need to compute the two tails.

The P-value is:

`P-value=2P(z>2.52)=0.0117`

Decision:

The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.