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- 3)Given that the alternative hypothesis is true, a type II error could occur if: a.We fail to reject the null b.We incorrectly calculate the test statistic c.We reject the null d.We incorrectly calculate the p valueA. Look for the definitions of the following terms related to hypothesis testing. 1. Null Hypothesis 2. Level of Significance 3. Type I errorShipping Data Table Week 1 Day Monday Tuesday Wednesday Thursday Friday Tons 178 143 144 157 182 Week 2 Day Monday Tuesday Wednesday Thursday Friday Tons 170 138 132 143 178 Day Monday Tuesday Week 3 Wednesday Thursday Friday Tons 164 129 126 138 170 0
- 2. Use the following scenario to conduct a hypothesis test. Then use that to answer questions a- g. You would like to determine if the use of a new teaching intervention helps to improve attention in 5- year-old boys. To test this hypothesis, you have separated 35 5-year-old boys into two groups, one with the intervention (treatment group) and the other given normal class time (the control group). You would like to test if the treatment group had longer attention times (in minutes) than the control group. (The significance level of the test is .05) The following are the data for the two groups: Control Group (Group 1) 7 11 6 6 8. 11 14 7 8. 2 Treatment Group (Group 2) 11 12 14 16 18 14 11 8 7 10 11 Answer the following questions to run the hypothesis test. You should use the notation and methods described in the course: a. What test should you run? b. What is the null hypothesis in sentences and symbols? c. What is the alternative hypothesis in sentences and symbols? d. What is the…A researcher wants to know if there is a relationship between gender and the likelihood of being a psychology major. A sample of n=200 participants is surveyed and the observed results are presented in the table below. Male Female Yes 20 70 No 80 30 Which of the following lists the appropriate hypotheses for this question and data? a. Ho (null): the variables are independent; H1 (alternative): the variables are not independent b. Ho (null): the variables are not independent; H1 (alternative): the variables are independent A researcher wants to know if there is a relationship between gender and the likelihood of being a psychology major. A sample of n=200 participants is surveyed and the observed results are presented in the table below. Male Female Yes 20 70 No 80 30 Which of the following lists the correct value of the test statistic and critical value? a. 7.98 (test statistic); 1.34 (critical value) b.…20. Which of the following is a null hypothesis? a. Pregnant women who drink cranberry juice will have lower urine bacterial counts than those who do not drink cranberry juice. b. The urine bacterial count of pregnant women who drink cranberry juice will be lower or equal to that of pregnant women who do not drink the juice. c. There will be a difference between ingestion of cranberry juice and among pregnant women who do and do not have high urine bacterial counts.
- Which of these is a manifestation of null hypothesis? a. As temperature increases so too will the level of aggression b. Older adults will have worse memories than younger adults c. There will be no relationship between caffeine consumption and performance d. There will be a significant difference between group 1 and group 2Refer to the Bayer Aspirin problem: How would the alternate hypothesis be written symbolically if it read. "The population mean is less than 6.0"?You wish to test the following claim (H.) at a significance level of a = 0.005. You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample - 19.1 from the first population. 7.1 from of size ni 23 with a mean of a1 You obtain a sample of size n2 the second population. 86.6 and a standard deviation of s1 20 with a mean of r2 96.5 and a standard deviation of s2 = a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use p-value Use Technology Round to 4 decimal places.
- 2. A certain health magazine stated * that 14% of men said they used exercise to reduce stress. At a=0.05 test the claim wherein, from a random sample of 100 men who were selected, 10 said that they used exercise to relieve stress. Which of the following is the appropriate null hypothesis of the problem? A. p = 14% B. p ≤ 14% C. p≥ 14% D. p 14% O A. B. D.In a hypothesis test, the researcher does not reject the null hypothesis at 5% level of significance. Which of the following conclusions necessarily follows? The p-value of the test was less than 10%, O None of them. O The researcher performed a two-tailed test with 10% significance level. O The null hypothesis would not have been rejected at 1% level of significance. The p-value of the test was less than 3%.What are the null and alternative hypotheses? A.H0: The racial distribution is the same in at least two of the four regions. Ha: The racial distribution is not the same in at least two of the four regions. B. H0: The racial distribution is the same in each of the four regions. Ha: The racial distribution is not the same in each of the four regions. C. H0:The racial distribution is not the same in each of the four regions. Ha:The racial distribution is the same in each of the four regions. D. H0: The racial distribution is not the same in at least two of the four regions. Ha: The racial distribution is the same in at least two of the four regions. Find the test statistic. χ2= (Round to three decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Choose the correct conclusion below. A. Do not reject H0. The data do not provide sufficient evidence that there is a difference. B. Do not reject…