You conduct a two-sided hypothesis test (α = 0.05): H0: µ = 25 and HA: µ ≠ 25. You collect data from a population of size N = 100 and compute a test statistic z = - 2.5. The null hypothesis is actually false and µ = 22. Determine which of the following statements are true. I. The two-sided p-value is 0.0124. II. You reject the null hypothesis H0. III. You fail to reject H0 and make a Type II error. Group of answer choices I only I and II only III only II only I and III only

You conduct a two-sided hypothesis test (α = 0.05): H0: µ = 25 and HA: µ ≠ 25. You collect data from a population of size N = 100 and compute a test statistic z = - 2.5. The null hypothesis is actually false and µ = 22. Determine which of the following statements are true. I. The two-sided p-value is 0.0124. II. You reject the null hypothesis H0. III. You fail to reject H0 and make a Type II error. Group of answer choices I only I and II only III only II only I and III only

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 4E

See similar textbooks

Similar questions

You conduct a two-sided hypothesis test (α = 0.05): H0: µ = 25 and HA: µ ≠ 25. You collect data from a population of size N = 100 and compute a test statistic z = - 2.5. The null hypothesis is actually false and µ = 22. Determine which of the following statements are true. I. The two-sided p-value is 0.0124. II. You reject the null hypothesis H0. III. You fail to reject H0 and make a Type II error.
A researcher conducts a hypothesis test on a population proportion. Her null and alternative hypothesis are H0:p = 0.4 and Ha: p < 0.4. The test statistic and p-value for the test are z = -3.01 and p-value = 0.0013. For asignificance level of a= 0.05, choose the correct conclusion regarding the null hypothesis.H0:________________________ Ha:_______________________Compare the p-value and a:_______________Decision:_________________________Conclusion:___________________________________________________________
In a test of hypothesis, the null hypothesis is that the population proportion is equal to .39 and the alternative hypothesis is that the population proportion is greater than .39. A sample of 500 elements selected from this population produced a sample proportion of .44. The value of the test statistic is z = 5.68 b. z = 3.91 c. z = 2.27 d. z = 1.74
Molly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of H0:p=0.80H0:p=0.80 versus Ha:p≠0.80Ha:p≠0.80 and calculates a test statistic of 1.10 with a pp-value of 0.273. Which of the following best represents the meaning of the pp-value? If the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. A If the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is 0.273. B If the population proportion is 0.80, the probability of observing a sample proportion within 0.04 of 0.80 is 0.273. C If the population proportion is 0.80, the probability of observing a sample proportion at least 0.04 greater than 0.80 is 0.273. D If the…
You do a hypothesis test of H0: μ = 5 vs Ha: μ ≠ 5 at significance level 0.05. You collect a random sample and find your test statistic z = 2.10 What is the p value equal to? a. 0.5 b. 0.0358 c. cannot be determined d. 0.0179 e. 0.4821 f. 0.05
If you want to carry out a statistical test at α = 0.01. to test whether the population mean is equal to 500 or not, using a sample size of 300, with a test statistic of z = 1.97, your conclusion should be_____. Select one: a. reject the null hypothesis b. only reject when the test statistic is negative c. not enough information to determine d. do not reject the null hypothesis
According to shopper data, 97% of households purchase toilet paper. An analyst believes this is too low. To investigate, the analyst selects a random sample of 500 households and finds that 98% of them purchase toilet paper. Do these data provide convincing statistical evidence at the α = 0.05 level to conclude that the true proportion of all households that purchase toilet paper differs from 0.97? Complete the “State” step for this test. H0: p = Ha: p where p = the true proportion of all that .
In 2008, the population of part-time college students was 60% female. We are curious if the proportion has decreased this year. We test the hypotheses: H0: p=0.60 and Ha: p<0.60, where p is the proportion of part-time college students that are female this year. Which of the following p-hat values will give the smallest p-value? a. 14/25=0.56 b. 12/25=0.48 c. 10/25= 0.40
x̅ = 50, µ =43, σ= 12 and n=16 conduct a two-tailed z-test. Use α = .01.
I bought a new set of headphones, and it failed after two days. The manufacturer claims that this happens only in less than 1 percent of cases. The Bureau of Consumer Affairs decides to investigate my complaint and tests 120 sets of headphones. What should their null hypothesis be if they want to collect evidence against the manufacturer's claim? What form should their p-value have? a. H0: p>= 0.01 with p-value P(k >= c | p = 0.01) b. H0: p<= 0.01 with p-value P(k <= c | p = 0.01) c. None of the other answers is correct. d. H0: p<= 0.01 with p-value P(k >= c | p = 0.01) e. H0: p>= 0.01 with p-value P(k <= c | p = 0.01)
If you want to carry out a statistical test at α = 0.01. to test whether the population mean is equal to 500 or not, using a sample size of 300, with a test statistic of z = 1.97, your conclusion should be: reject the null hypothesis, not enough information to determine, do not reject the null hypothesis or only reject when the test statistic is negative.
Solve the problem. A researcher conducts a hypothesis test on a population proportion. Her null and alternative hypothesis are Ho: p = 0.6 and Ha: P < 0.6. The test statistic and p-value for the test are z = -1.51 and p-value = 0.0655. For a significance level of a = 0.05, choose the correct conclusion regarding the null hypothesis. O None of these. O There is sufficient evidence to warrant rejection of the null hypothesis. There is insufficient evidence to warrant rejection of the null hypothesis. STEP 1/3 Routin We're findi answer you In the mea DIVE DEEP