Which of the following statements about hypothesis testing is false? A. A Type I error is the chance that the researcher rejects the null hypothesis when in fact the null hypothesis is true. B. The test will never confirm the null hypothesis, only fail to reject the null hypothesis. C. In both the one - tailed and two-tailed tests, the rejection region is one contiguous interval on the number line. D. The rejection region is always given in units of standard deviations from the mean.
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- A. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative and hypotheses? B. What is the test statistic? (Round to two decimal places as needed.) C. What is the P-value? (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.D. Reject the null hypothesis. There is not sufficient evidence to support…B. Determine the test statistic. _____ C. Determine the P-value. _____ D. State the final conclusion that addresses the original claim. (fail/ fail to reject) H0. There is (suffecient/ not suffecient) evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds (is/ is not) correct. It (appears/ does not appear) that, as a group, the students are reasonably good at estimatingA significance test is based on the following idea: Make an assumption about the population (The null hypothesis an assumption that the parameter equals a value). Then test to see if, under the assumption that the null hypothesis is true how likely is the sample that you got? If the sample you got is likely (within the range of normal defined by o or with probability greater then o) then it is possible that both the sample and the null hypothesis is true. If the sample is not likely then both it and the null hypothesis are probably not both true. Since the sample was collected (under the assumption it was collected well) then the null hypothesis is probably not true and we reject the null hypothesis. There are 3 types of significance tests. Left-sided test: Unusual defined by the test statistic being less than the critical value which cuts off or area in the left tail (note these will be negative values, less then means bigger negative) or a p-value less then a, where p-value is the…
- Test the claim that the mean GPA of night students is larger than 2.5 at the 0.01 significance level. The null and alternative hypothesis would be: Ho:µ > 2.5 Ho:µ = 2.5 H:µ 0.625 H:p=0.625 H:µ 2.5 H :p > 0.625 H:p< 0.625 H:p 0.625 The test is: right-tailed left-tailed two-tailed Based on a sample of 35 people, the sample mean GPA was 2.52 with a standard deviation of 0.08 The p-value is: (to 2 decimals). Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis Question Help: DVideo Message instructor メ NTest the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level. The null and alternative hypothesis would be: Ho: M = μF Ho: PM = PF H₁:µm > µF H₁:PM > pF Ho: PM = PF H₁:PMWhat is stated by the null hypothesis for the chi-square test for independence? a. There is no relationship between the two populations regarding the two variables. b. Both variables have the same frequency distribution. c. The two variables have different frequency distributions. d. There is a relationship between the two populations regarding the two variables.Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .025 significance level. The null and alternative hypothesis would be: Ho MMF Ho: PM = PF H₁: MMF O H₁: PM > PF O The test is: two-tailed right-tailed O The test statistic is: Based on a sample of 60 men, 25% owned cats Based on a sample of 40 women, 40% owned cats The p-value is: Ho: M = μF H₁: UMTest the claim that the mean GPA of night students is larger than 2 at the 0.10 significance level. The null and alternative hypothesis would be: Ho p= 0.5 Ho:p ≥ 0.5 Ho:p ≤ 0.5 H₁:p 0.5 H₁:p 0.5 The test is: right-tailed left-tailed two-tailed Based on a sample of 25 people, the sample mean GPA was 2.02 with a standard deviation of 0.07 The p-value is: Based on this we: Ho:μ = 2 Ho:μ ≥ 2 Ho: ≤2 H₁:μ ‡ 2 H₁:μ 2 Reject the null hypothesis O Fail to reject the null hypothesis (to 2 decimals)Pearson’s correlation is the only statistical test that can measure the relationship between two variables. a. True b. False A strong correlation indicates there is a cause-and-effect relationship between two variables. a. True b. False Within a hypothesis test, estimated standard error provides a measurement of which of the following: a. The typical amount of sampling error expected when the null hypothesis is true b. The typical mean expected when the null hypothesis is true c. The typical amount of sampling error expected when the null hypothesis is false d.The typical mean expected when the null hypothesis is falseWhich one of the following statements is incorrect: A. A type I error consists of rejecting the null hypothesis when it is true B. A type II error consists of accepting the null hypothesis when it is false C. You can control simultaneously both the Type I and Type II error probabilities when the sample size is fixed D. Hypothesis testing and confidence intervals are related concepts37Q5. Diamond and Lauren are looking at data from two groups. Diamond decides to run her analysis using a two-tailed test, whereas Lauren uses a one-tailed test. Who is more likely to commit a Type I error? A.) They're equally likely B.) Lauren C.) Not enough information to answer D.) Diamond Q6. Which of the following are assumptions of an independent samples t-test? 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