If the sample data are in the critical region with α = 0.01 and Ho is rejected, then one could still reject Ho even if α were changed to 0.05. Is this statement True or False?

question 12.12 using the numbers from 12.11.

We want to use a z-test to determine if the sample mean is greater than 20 at the alpha = 0.05. What is the critical value(s)?

What would be the critical value for a left-tailed test with α = 0.01? (Remember to use the z-score table)

Only about 18% of all people can wiggle their ears. Is this percent different for millionaires? Of the 374 millionaires surveyed, 45 could wiggle their ears. What can be concluded at the αα = 0.01 level of significance? For this study, we should use    The null and alternative hypotheses would be:  H0:H0:             (please enter a decimal)  H1:H1:             (Please enter a decimal) The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 3 decimal places.) The p-value is     αα Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 18% at αα = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 18%. The data suggest the population proportion is not significantly different from 18% at αα = 0.01, so there is…