Suppose that we reject a null hypothesis at the 0.1 level of significance. Then for which of the following a- values do we also reject the null hypothesis? O A. 0.002 ОВ. 0.02 ОС. 0.01 D. 0.2 E. 0.001
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- Suppose a group of 700 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 147 patients who received the antidepressant drug, 18 were not smoking one year later. Of the 553 patients who received the placebo, 206 were not smoking one year later. Given the null hypothesis ?0:(?????−????????)=0H0:(pdrug−pplacebo)=0 and the alternative hypothesis ??:(?????−????????)≠0Ha:(pdrug−pplacebo)≠0, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ?=0.04α=0.04, (a) The test statistic is (b) The P-value isWhich of the following statements is true if when using null hypothesis testing, our p value (in the "sig" column of SPSS output) is 0.051? Reject the null hypothesis Fail to reject the null hypothesis Reject the alternative hypothesis Fail to reject the alternative hypothesisWhich of the following statements is true if when using null hypothesis testing, our p value (in the "sig" column of SPSS output) is 0.069? a) Reject the null hypothesis b) Fail to reject the null hypothesis c) Reject the alternative hypothesis d) Fail to reject the alternative hypothesis
- A physician wants to test two blood glucose meters to see if there is any differences in measurements. To do this, he measures the glucose in blood samples taken from several randomly selected patients with both meters. Identify the null and alternative hypotheses for a hypothesis test, where each difference is calculated by subtracting the measurement on the second meter from the measurement on the first meter. A. H0:μd=0 Ha:μd>0 B. H0:μd=0 Ha:μd≠0 C. H0:μd=0 Ha:μd<0 D. H0:μd≠0 Ha:μd=0compute for the z or t value and decide whether to retain or reject the null hypothesis. provide an explanation for the decisionSuppose a group of 800800 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 500500 patients who received the antidepressant drug, 134134 were not smoking one year later. Of the 300300 patients who received the placebo, 5151 were not smoking one year later. Given the null hypothesis ?0:(?1−?2)=0H0:(p1−p2)=0 and the alternative hypothesis ??:(?1−?2)≠0Ha:(p1−p2)≠0, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ?=0.03α=0.03 (a) The rejection region is |?|>|z|> (b) The test statistic is ?=z=
- f our null hypothesis is H0: ? = 40, what are the three possiblealternative hypotheses?State whether the standardized test statistic z indicates that you should reject the null hypothesis z0=1.645 1. For z=1.713, should you reject you reject or fail to reject the null hypothesis? 2. For z=1.407, should you reject or fail to reject the null hypothesis? 3. For z=-1.409, should you reject or fail to reject the null hypothesis? 4. For z=1.741, should you reject or fail to reject the null hypotheses?An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than 65%. To test this claim, a random sample of 750 people are asked if they plan to purchase a fully electric vehicle as their next car Of these 750 people, 513 indicate that they do plan to purchase an electric vehicle. The following is the setup for this hypothesis test: H0:p=0.65 Ha:p>0.65 In this example, the p-value was determined to be 0.026.
- An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than 65%. To test this claim, a random sample of 750 people are asked if they plan to purchase a fully electric vehicle as their next car Of these 750 people, 513 indicate that they do plan to purchase an electric vehicle. The following is the setup for this hypothesis test: H0:p=0.65 Ha:p<0.65 In this example, the p-value was determined to be 0.026. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%.) Select the correct answer below: A. The decision is to reject the Null Hypothesis.The conclusion is that there is enough evidence to support the claim. B. The decision is to fail to reject the Null Hypothesis.The conclusion is that there is not enough evidence to support the claim.Suppose a group of 900 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 450 patients who received the antidepressant drug, 111 were not smoking one year later. Of the 450 patients who received the placebo, 159 were not smoking one year later. Given the null hypothesis H0:(Pdrug−Pplacebo)=0 and the alternative hypothesis Ha:(Pdrug−Pplacebo)≠0, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use α=0.01, (a) The test statistic is __________ (b) The P-value is _________ (c) The final conclusion isA. There is not sufficient evidence to determine whether the antidepressant drug had an effect on changing smoking habits after one year. B. There seems to be evidence that the patients taking the antidepressant drug have a different success rate of not smoking after one year than the placebo group.If all of the four drug companies in the previous question (Q1-(1)) obtained a p-value of 0.03 in their c clinical trails Company A will reject the null hypothesis (H0) Company B will reject the null hypothesis (H0) Company C will reject the alternative hypothesis (H1) Company D will reject the alternative hypothesis (H1)