Answer:
a) two-tailed test
b) Z=5.49
c) P-value=0.000
d) The null hypothesis states that the proportion is equal to 0.92 (p=0.92).
As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.
e) A. Reject the null hypothesis because the P-value is less than or equal to the significance level α.
Step-by-step explanation:
a) Is the test two-tailed, left-tailed, or right-tailed?
As the alternative hypothesis is defined with a unequal sign, the rejection can happen for a sample statistic that is too low or too high. So both tails are part of the rejection region. Then, this test is a two-tailed test.
b) What is the test statistic?
The test statistic is the Z-value: Z=5.49.
c) What is the P-value?
The P-value is P=0.000, corresponding to the Z-value of point b.
d) What is the null hypothesis and what do you conclude about it?
The null hypothesis states that the proportion is equal to 0.92 (p=0.92).
As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.
e) As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.
A. Reject the null hypothesis because the P-value is less than or equal to the significance level α.
