When conducting a hypothesis test about p we can assume the test statistic Z=P̂ −pp(1−p)n√𝑍=𝑃^−𝑝𝑝(1−𝑝)𝑛 approximately follows a standard normal distribution if:Question 5Select one:a.the data is normally distributedb.the data is continuousc.np≥5 or n(1−p)≥5𝑛𝑝≥5 or 𝑛(1−𝑝)≥5 d.np≥5 and n(1−p)≥5

In testing the hypothesesH0: μ = 50HA: μ < 50we found that the standardised test statistic is Z = –1.59. Calculate the p-value.Group of answer choices0.02950.05590.11180.9441

12. According to the Central Limit Theorem, the sample standard deviation (𝑠) may be used as an estimate of the population standard deviation (𝜎) when the value of 𝜎 is unknown. Which of the following is the correct test statistic to be used for Central Limit Theorem?                  *A. p-testB. z-testC. t-testD. Pearson r

3. Suppose we want to test the null hypothesis H0:p=0.20𝐻0:𝑝=0.20 against the alternative hypothesis Ha:p<0.20𝐻𝑎:𝑝<0.20 . Suppose also that we observed 25 successes in a random sample of 100 subjects and the level of significance is 0.05. What is the observed test statistic for this test?Multiple choice 1 Question 3  z=1.15𝑧=1.15   z=−1.25𝑧=−1.25   z=−1.15𝑧=−1.15   z=1.25

In testing the hypothesesH0: μ = 75HA: μ < 75,if the value of the Z test statistic equals -1.78, then the p-value is:Group of answer choices0.9625.0.375.0.5375.0.4625.

Suppose you conduct a lower-tail z-test on the mean of normal population and get a test statistic of 0.09. The P-value for this z-test is _________ using the z-table provided in this course.