The statement “If there is sufficient evidence to reject a null hypothesis at the 5% significance  level, then there is sufficient evidence to reject it at the 10% significance level” is   (A) Always True   (B) Never True   (C) Sometimes True; the p-value for the statistical test needs to be provided for a  conclusion   (D) Not Enough Information; this would depend on the type of statistical test used   If you feel the answer is none of the choices given, submit no answer to the question

Imagine that you found that participants in the jelly bean condition had an average acne score o  and your significance level was .041.  Because your signifinace level is lEss than .05  you reject the null hypothesis. Result #2  imagine that you found that the participants in the jelly bean condition had an average acne score of   and your significance level was .00. Because your significance level is less than .05  you reject the null hypothesis. You also note that this result suggest a bigger effect size(30verus10  on your dependant variable).  What is the ma in difference between the two scenarios?

As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. There is not sufficient evidence to warrant rejection of the claim that the first population mean is less than the second population mean. The sample data support the claim that the first population mean is less than the second population mean. There is not sufficient sample evidence to support the claim that the first population mean is less than the second population mean.

(b) (c) (d) What is the value of the sample test statistic? Find (or estimate) the P-value. Based on your answers in parts (a) to (c), will you reject or fail to Teject the null hypothesis? Are the data statistically significant at level a? 6. Professor Jennings claims that only 35% of the students at Flora College work while attending school, Dean Benata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 76 students shows that 36 have jobs. Do the data indicate that more than 35% of the students bave jobs? Use a 5% level of significance. What are we testing in this problem? i) single proportion ii) single mean a) What is the level of significance? State the null and alternate hypotheses. what sampling distribution will you use? What assumptions are you making? b) What is the value of the sample test statistic? c) Find (or estimate) the P-value. d) Based on your answers in parts (a) to (c), will you reject or fail to…

a.    If a null hypothesis is rejected with a significance level of 0.05, is it also rejected with a significance level of 0.01? Why or why not?     Suppose the level of significance for carrying out the test is lowered from 5% to 1%. As a result, has the likelihood of rejecting the null hypothesis when it is true increased or decreased? Explain