Consider the following competing hypotheses: Ho:μ = 0, HA:μ ≠ 0. The value of the test statistic is z = −1.62. If we choose a 5% significance level, then we __________.Multiple Choicedo not reject the null hypothesis and conclude that the population mean is significantly different from zeroreject the null hypothesis and conclude that the population mean is significantly different from zeroreject the null hypothesis and conclude that the population mean is not significantly different from zerodo not reject the null hypothesis and conclude that the population mean is not significantly different from zero

We wish to conduct a test of hypothesis on two independent population means. The alternative hypothesis of the test states that the means differ. Both populations are assumed normal with equal variance. We draw 10 observations for the first sample and 20 observations for the second sample. State the decision rule for the test if the level of significance is 0.01.Question 2Select one:a.we reject Ho if t > 2.4671b.we reject Ho if t <-2.4671 or t > 2.4671c.we reject Ho if t > 2.3263d.we reject Ho if t <-2.7633 or t > 2.7633

If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.Group of answer choicesTrueFalse

Suppose we are conducting a hypothesis test with the following hypotheses:H0: p = 0.7H1: p > 0.7Furthermore suppose we get a p-value of 0.07 while using = 0.05, which of the following is the correct decision?a.At the 5% level of significance, there is significant evidence to reject H1 and retain H0.  b.At the 5% level of significance, there is significant evidence to retain H0c.At the 5% level of significance, there is significant evidence to reject H0 in favour of H1.  d.At the 5% level of significance, there is not significant evidence to reject H0.

Under what circumstances can we reject the null hypothesis?Group of answer choicesWhen the p-value is lower than the significance levelNeverWhen the p-value is lower than the test statisticWhen the p-value is higher than the significance level

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