In each part, we have given the value obtained for the test statistic, z, in a one-mean z-test.We have also specified whether the test is two tailed, left tailed, or right tailed. Determine the P-value in each case and decide whether, at the 5% significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. a. z = -1.25; left-tailed testb. z = 2.36; right-tailed testc. z = 1.83; two-tailed test

Question

In each part, we have given the value obtained for the test statistic, z, in a one-mean z-test.We have also specified whether the test is two tailed, left tailed, or right tailed. Determine the P-value in each case and decide whether, at the 5% significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.

a. z = -1.25; left-tailed test
b. z = 2.36; right-tailed test
c. z = 1.83; two-tailed test

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Answer true or false and explain your answer: For a fixed sample size, decreasing the significance l...

A: Level of significance:The probability of rejecting a true null hypothesis is called level of signifi...

Q: Regarding multiple linear regression analysis: a. What sum of squares is made as small as possible w...

A: a)Method of least squares:

Q: The following statement appeared on a box of Tide laundry detergent: “Individual packages of Tide ma...

A: a.It is given that “Individual packages of Tide may weigh slightly more or less than the marked weig...

Q: In each of Exercises, we have specified the “tailedness” of a hypothesis test for a population mean ...

A: a)The data  represented “tailedness” of a hypothesis test for a population mean with null hypothesis...

Q: Car Fatalities The recent rate of car fatalities was 33,561 fatalities for 2969 billion miles travel...

A: a)Mean of Poisson distribution:The formula is given by,

Q: Confidence Interval for Lightning Deaths Use the sample values given in Cumulative Review Exercise 1...

A: In this case, Cumulative review Exercise 1 is considered as follows:

Q: Number 14 parts d and e.

A: From the given Histogram, let us consider the following frequency table,

Q: Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothe...

A: Denote x as the number of specified characteristics, the hypothesized proportion as p and the sample...

Q: Exercises pertain to critical values for a Wilcoxon signed-rank test. Use Table V in Appendix A to d...

A: a)For 1% level of significance,

Q: What happens to the power of a hypothesis test if the significance level is decreased without changi...

A: Solution: It is required to mention what happens to the power of a hypothesis test if the significan...

Q: Births: Sampling Distribution of Sample Proportion When two births are randomly selected, the sample...

A: The two births are randomly selected, the sample space for genders is bb, bg, gb, gg (where b = boy ...

Q: In each of Exercises, we provide a sample mean, sample size, sample standard deviation, and confiden...

A: a)Critical value:For 90% level of significance,

Q: In each of Exercises, we have provided a sample mean, sample standard deviation, and sample size. In...

A: The test hypotheses are given below:Null hypothesis:H0: µ = 22,Alternative hypothesis: Ha: µ > 22...

Q: Requirements Twelve different video games showing alcohol use were observed. The duration times of a...

A: For testing the claim about the population mean, the requirements are given below.Requirements:The s...

Q: Gasoline Mileage. An engineer wants to determine factors that affect the EPA miles per gallon rating...

A: a)Predictor variable:Predictor variable in a regression is the independent variable, which explains ...

Q: The boxplot below shows salaries for Construction workers and Teachers. Construction Teacher 20 25 3...

A: In general boxplot shows five number summary, which are minimum, first quartile, median, third quart...

Q: In each of Exercises, determine the critical value(s) for a one-mean z-test. For each exercise, draw...

A: The required critical value can be obtained using MINITAB.Step-by-step procedure to obtain normal pr...

Q: Problems pertain to the P-value approach to hypothesis testing. How is the P-value of a hypothesis t...

A: P-value:P-value is the probability of obtaining the test statistic value that is more extreme than t...

Q: Finding P-values. In Exercises 5–8, either use technology to find the P-value or use Table A-3 to fi...

A: The claim is that for the duration times of eruptions of the old faithful geyser, the mean is 240 se...

Q: In Exercises, we have given the value obtained for the test statistic, z, in a one-mean z-test. We h...

A: a)P-value:Here, z= –1.84.

Q: In each of Exercises, we have provided a sample mean, sample size, and population standard deviation...

A: The test hypotheses are given below:Null hypothesis:H0: µ = 22,Alternative hypothesis: Ha: µ > 22...

Q: Conclusions True or false: The conclusion of “fail to reject the null hypothesis” has exactly the sa...

A: Click to see the answer

Q: How do I solve question 1 and 2?

A: From the given question,

Q: If you obtained one thousand 95% confidence intervals for a population mean, µ, roughly how many of ...

A: Solution: We have to determine:If we obtained one thousand 95% confidence intervals for a population...

Q: Suppose that, in a hypothesis test, the null hypothesis is in fact false. a. Is it possible to make ...

A: Type I error:Probability of rejecting the null hypothesis when it is actually true.Type II error:Pro...

Q: Is the Diet Practical?  When 40 people used the Weight Watchers diet for one year, their mean weight...

A: Given:The provided sample mean is  = 3 and the Sample standard deviation is s = 4.9, and the sample ...

Q: Low Birth Weight The University of Maryland Medical Center considers “low birth weights” to be those...

A: a)The random variable x represents the birth weights.The formula to convert the x value into Z score...

Q: Verifying Requirements In the largest clinical trial ever conducted, 401,974 children were randomly ...

A: In the clinical trial, 401,974 children were randomly assigned to two groups (treatment (Salk vaccin...

Q: Regarding the regression of a response variable, y, on predictor variable, x, what is meant by strai...

A: Straightening the scatterplot:To fit a simple linear regression line, the data set of the predictor ...

Q: Approving Nuclear Reactors. Suppose that you are performing a statistical test to decide whether a n...

A: Type II error is also known as beta error.A type II error is that the probability of rejecting an al...

Q: Suppose that you are considering a hypothesis test for a population mean, µ. In each part, express t...

A: a).The test for the given situation is Two-tailed test.Let µ be the population mean.The null and alt...

Q: Testing Claims About Proportions. In Exercises 7–22, test the given claim. Identify the null hypothe...

A: The hypotheses are given below:

Q: In each of Exercises, we provide a sample mean, sample size, sample standard deviation, and confiden...

A: a)Critical value:For 99% level of significance,

Q: Understanding the Concepts and SkillsExplain the meaning ofa. qualitative variable.b. discrete, quan...

A: From the given question,The variables can be defined into broad category which as follows:Qualitativ...

Q: Eye Contact In a study of facial behavior, people in a control group are timed for eye contact in a ...

A: From the given information,Let the x be random variable that shows the eye contact which is normally...

Q: In each of Problems, we have provided a scenario for a confidence interval. Decide, in each case, wh...

A: The following assumptions are required for the small sample confidence interval about mean to be val...

Q: Suppose that you want to perform a hypothesis test for a population mean based on a small sample but...

A: a.One hypothesis test is needed for population mean with small sample but in the data outlier is pre...

Q: Lightning Deaths Listed below are the numbers of deaths from lightning strikes in the United States ...

A: a).The data from the ‘lightning deaths’ shows that the deaths of United States people for a 14 recen...

Q: Unbiased Estimators Data Set 4 “Births” in Appendix B includes birth weights of 400 babies. If we co...

A: It is known thatThe sample mean is an unbiased estimator of population mean. Sample proportion is an...

Q: Exercises pertain to critical values for a Wilcoxon signed-rank test. Use Table V in Appendix A to d...

A: a)For 5% level of significance,

Q: Which interval is wider: (a) the 95% confidence interval for the conditional mean of the response va...

A: Justification:Confidence interval: