The following MINITAB output presents the results of a hypothesis test for the difference P1- P2 between two population proportions. Test and CI for Two Proportions Sample х N Sample p 41 97 0.422680 2 37 61 0.606557 Difference = p (1) – p (2) Estimate for difference: -0.183877 95% CI for difference: (-0.341016, -0.026738) Test for difference = 0 (vs not = 0): Z = -2.25 P-Value = 0.024 %3D %3D Is this a one-tailed or two-tailed test? a. b. What is the null hypothesis? Can Họ be rejected at the 5% level? How can you tell? C.

24.22 Caffeine and sugar. A double-blind randomized experiment assigned healthy undergraduate students to drink one of four beverages after fasting overnight: water, water with 75 mg of caffeine, water with 75 g of glucose, and water with 75 mg of caffeine and 75 g of glucose. Subjects performed a number of cognitive tasks, including the California Computerized Assessment Package, a computerized reaction time program measuring sustained attention, reaction time, and visual scanning speed. Here are the resulting reaction times (SEM is the standard error of the mean): SEM Beverage 18 389.35 18.50 Water 18 320.16 17.98 Water and caffeine Water and glucose 18 318.16 17.04 Water, caffeine, and glucose 18 336.44 14.02 Identify the populations and the response variable. State the null and alternative hypotheses of the corresponding ANOVA F test and specify its degrees of freedom. IX

A professor wants to make sure that two different versions of a test are equivalent. He decides to compare the variances of the test scores from each version. A sample of 20 scores on Version A has a sample variance of 1.139, while a sample of 25 scores from Version B has a sample variance of 3.958.   Step 1 of 2 :   Construct a 99% confidence interval for the ratio of the population variances of the scores on the two versions of the test. Round the endpoints of the interval to four decimal places, if necessary.   Step 2 of 2   Interpret the confident interval obtained on Step 1:

What is Ha? (H0 is the mean VIQ scores for the younger, middle-aged, and older subjects are all not different from each other) (Note: 1= 5-25 Years, 2= 26-59 Years, 3= 60-92 Years) Multiple Choices: 1. H0 is not true 2. The mean VIQ scores for the younger, middle-aged, and older subjects 3. are all different 3. The mean VIQ scores for the younger, middle-aged, and older subjects are not equal to one another 4. The mean VIQ scores for the younger, middle-aged, and older subjects are not the same as each other

Please answer parts (d) and (e) using a two independent samples hypothesis t test (Q4). You are a crime scene investigator trying to match the lead content of bullet fragments found at a crime scene to the lead content of a box of bullets found with a suspect. To simplify this question, assume that the instrument you use gives you one measurement per fragment in grams/cm3. Assume that you have 5 measurements from fragments found at the crime scene and 7 measurements from bullets found with the suspect. (a) What type of hypothesis test will you use? (b) What are H0 and Ha? Write them both mathematically and in words. (c) You run the analysis and the p-value is 0.0001 and α = 0.001, and β = 0.9. If you reject H0, what is the probability that you made the wrong decision in this case? (d) You run the analysis and the p-value is 0.9, α = 0.001 and β = 0.01. If you fail to reject H0, What is the probability that you made the wrong decision in this case? (e) Under what conditions could an…

The Department of Agriculture wants to determine whether the mean yield per acre for a particular variety of soybeans is different this year compared to the historical avg yield of 520 bushels per acre. Thus, the null and alternative hypotheses are  Ho: mu = 520 Ha: mu is not = to 520 You set out to conduct a hypothesis test at the 95% level. Mean yields are distributed Normally. You take a sample of 36 different acres. From this sample, you calculate a mean yield of 573 and a std deviation of 24.  What are the critical values for this hypothesis test? Group of answer choices -2.58 and 2.58 -2.56 and 2.56 -1.64 and 1.64 -1.96 and 1.96

You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.       Ho:μ1=μ2Ho:μ1=μ2      Ha:μ1>μ2Ha:μ1>μ2 You obtain the following two samples of data.

Given a result of t (30) = 1.55 for a one-tailed paired samples t-test, What is the sample size?

Chapter 9: Hypothesis Tests for a Single Population Proportion Score: 4/14 4/14 answered Question 1 Test the claim that the proportion of men who own cats is smaller than 20% at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p > 0.2 Ho:p= 0.2 Ho:p 0.2 H1:p 0.2 H1:µ 7 0.2 H1:µ > 0.2 H1:p< 0.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 600 people, 15% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis Question Help: Message instructor Submit Question ch

LSU's Ag. Center wants to determine whether the mean yield for sugarcane is different this year compared to the historical avg of 8,700 lbs of sugar per acre. Thus, the null and alternative hypotheses are       Ho: mu = 8,700     Ha: mu is not = to 8,700 You set out to conduct a hypothesis test at the 95% level. Mean yields are distributed Normally. You take a sample of 100 different acres. From this sample, you calculate a mean yield of 8,853 and a std deviation of 1,150.  What are the bounds for the acceptance region for this hypothesis test?   Group of answer choices -1.64 to 1.64 -2.58 to 2.58 -1.33 to 1.33 -1.96 and 1.96