A researcher carried out a two-tailed hypothesis test. Which of the following z-score would result in the weakest evidence against the null hypothesis? O 1.10 O -0.20 O-2.60 3.0
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- A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 282 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 54 124 178 Not Vaccinated 71 33 104 Total 125 157 282 Copy Data Step 7 of 8: Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance.You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.1pA=0.1; pB=0.5pB=0.5; pC=0.3pC=0.3; pD=0.1pD=0.1Complete the table. Category ObservedFrequency ExpectedFrequency SquaredResidual A 16 B 39 C 28 D 14 What is the chi-square test-statistic for this data?χ2= Report all answers accurate to three decimal places.A sample is selected from a population with a mean of m = 30 and a treatment is administered to the sample. If the treatment is expected to increase scores and a t statistic is used for a one-tailed hypothesis test, then which of the following is the correct null hypothesis?
- If your null and alternative hypothesis are:H0:p=0.78 H1:p<0.78Then the test is: two tailed right tailed left tailedIn a volunteer group, adults 21 and older volunteer between 1 and 9 hours each week. The program includes people from a community college, a four-year college, and non-students. The leader of the group is interested in seeing if there is a relationship between the type of volunteer and the number of hours volunteered. She collected the following data below. Perform a hypothesis test to help her at 0.01 level of significance. 1-3 hours 4-6 hours 7-9 hours Community College Student 97 100 64 Four-Year College Student 99 128 55 Non-Student 99 138 41 What are the expected numbers? (round to 3 decimal places) 1-3 hours 4-6 hours 7-9 hours Community College Student Four-Year College Student Non-Student The hypotheses are H0:H0: The number of hours volunteered is independent of the type of volunteer. HA:HA: The number of hours volunteered is dependent of the type of volunteer.(claim) Since αα = 0.01 the critical value is 13.277 The test…An educational psychologist studies the effect of frequent testing on retention of class material. In one of the professor's sections, students are given quizzes each week. The second section receives only two tests during the semester. At the end of the semester, both sections receive the same final exam, and the scores are summarized below. Do the data indicate that testing frequency has a significant effect on performance? Use a two-tailed test with α = .01. Include the null hypothesis in symbols, critical region(s), and a conclusion about significance. Compute r2 and state the size of the effect (e.g. small, medium, large). Frequent Quizzes Two Exams n = 15 n = 15 M = 72 SS= 112 M = 68 SS= 98
- You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.1pA=0.1; pB=0.4pB=0.4; pC=0.25pC=0.25; pD=0.25pD=0.25Complete the table. Category ObservedFrequency ExpectedFrequency SquaredResidual A 4 B 39 C 29 D 25 What is the chi-square test-statistic for this data?χ2=Report all answers accurate to three decimal places.1In a one-tail hypothesis test where you rejected Ho only in the upper tail, what is the value is Zstat =+2.00?
- Suppose that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 24%. Use a 0.10 significance level to test that claim. H: p>U.24 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Reject Ho- There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% O B. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OC. Fail to reject Hn. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% O D. Reject Ho. There is sufficient…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%.Historically, 72% of students who take the PREPWell SAT preparation course improve their scores (where "improvement" denotes a score increase of at least 10 points). A new version of the PREPWell course is tested on a random sample of students, and 75% of them improve their scores. The PREPWell company is conducting a hypothesis test to determine whether the new version of the course actually gives better results. The hypotheses are H0: p = 0.72 Ha: p > 0.72 where p = the proportion of all students taking the new version of the PREPWell course that will improve their SAT scores For each description below, choose from the drop-down list to indicate which decision (A, B, or C) corresponds to it. (Each decision choice can be used once, more than once, or not at all.) Possible decisions: A. Reject the null hypothesis B. Do not reject the null hypothesis C. Accept the null hypotheses Even though the proportion of students with…