A large nationwide survey recently showed an unemployment rate of 3.9% inAustralia. The mayor of a local town wonders if this national result holds true for hertown, so she plans on taking a sample of her residents to see if the unemployment rateis significantly different than 3.9% in her town. Let π represent the unemployment ratein her town. Here are the hypotheses she'll use:Null Hypothesis: π = 0.039Alternative Hypothesis: π 0.039Which type of Error has been committed in the following situation?She concludes the town's unemployment rate is not 3.9% when it actually is.●Type II ErrorNo ErrorO Type 1 Error

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

Answered: A large nationwide survey recently…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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After asking a sample of her students for their opinion of her class, the statistics professor calculates the test statistic z = 2.69 for the hypothesis test H: p = 0.80 H: p > 0.80, where p is the proportion of all students in the class who enjoyed the class. Which of the following is true? a The P-value is .9964 and conclude that more than 80% of the students enjoyed her class. b The P-value is .0036 and conclude that more than 80% of the students enjoyed her class. c The P-value is .9964 and conclude that less than 80% of the students enjoyed her class. d The P-value is .0036 and conclude that less than 80% of the students enjoyed her class.
Reports say that the mean height of adult males in the US is 69.1 in. May wants to perform a hypothesis test to see if this holds true in her state. She takes a random sample of men and observes a mean height of bar x-68.3 in Here's May's null hypothesis: HO: The mean height of adult males in this state is... What is an appropriate way for May to finish her null hypothesis? O ...equal to 68.3 in O ...equal to 69.1 in O..not equal to 68.3 in O ...not equal to 69.1 in
Do these data provide evidence that there is an association between age group and the response to the question? Test the relevant hypotheses using a = 0.01. State the appropriate null and alternative hypotheses. O H: There is no association between age group and the response to the question. H.: There is an association between age group and the response to the question. O H: There is an association between age group and the response to the question. H.: There is no association between age group and the response to the question. O Ha: The proportions falling into each of the three age groups are not the same for all four responses to the question. H : The proportions falling into each of the three age groups are the same for all four responses to the question. O H,: The proportions falling into each of the three age groups are the same for all four responses to the question. H: The proportions falling into each of the three age groups are not the same for all four responses to the…
In a sample of 50 men, 40 said that they had less leisure time today than they had 10 years ago. In a sample of 50 women, 30 women said that they had less leisure time today than they had 10 years ago. At a=0.01, is there a difference in the proportions? Use p, for the proportion of men with less leisure time. Part: 0/6 Part 1 of 6 State the hypotheses and identify the claim with the correct hypothesis. (Choose one) (Choose one) H This hypothesis test is a (Choose one) test. 山四

In a sample of 57 men, 35 said that they had less leisure time today than they had 10 years ago. In a sample of 57 women, 43 women said that they had less leisure time today than they had 10 years ago. At a=0.10, is there a difference in the proportions? Use p₁ for the proportion of men with less leisure time. Part: 0/6 Part 1 of 6 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) ▼ H₁: (Choose one) ▼ This hypothesis test is a (Choose one) ▼ test. O0 P1 0=0 5 #3
Find the P-value for a left-tailed hypothesis test with a test statistic of z=−1.96. Decide whether to reject H0 if the level of significance is α=0.05.
a researcher uses a sample of n=25 individuals to evaluate the effect of a treatment. the hypothesis test uses a=0.05 and produces a significant result with t=2.15. how would this result be reported in the literature?
A certified public accountant claims that more than 30% of all accountants advertise. A sample of 400 accountants in Rizal province shows that 112 had used some form of advertising. At a ? = 0.01, is there enough evidence to support the claim? (Use p-value method).Solution:Step 1: State the hypothesis.?0: _____________________________________________________________?1: _____________________________________________________________Step 2: Compute for the value of one sample t test. ????????? = _______Step 3: Compute for the p – value.___________________________________________________________________________________________________.Step 4: Decision rule:____________________________________________________________________________________________________________________________________________________________________.Step 5: Conclusion.________________________________________________________________________________________________________
A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a financial problem. A second sample of 100 different students was asked the same question. If 43 students in the first sample and 47 students in the second sample replied that they turned to their mother rather than their father for help, test the hypothesis of no difference in the proportions. Use α = 0.02. Be sure to include the following: Null Hypothesis: Alternate Hypothesis: P-Value: Conclusion: Interpretation:
A states Division of Motor Vehicles (DMV) claims that 60% of teens pass their driving test on the first attempt. An investigative reporter examines a simple random sample of the DMV records for 125 teens; 86 of them passed the test on their first try. Test the DMV’s claim, using α = 0.05.1. Set up the hypotheses.2. Calculate the test statistic.3. Determine the critcal value and draw the rejection region.4. State and justify your decision using the rejection region method.5. State your conclusion in terms of the problem.6. Discuss the validity of your results by checking and addressing all assumption
You are conducting a study to see if the average male life expectancy is significantly different from 82. If your null and alternative hypothesis are:H0:μ=82H1:μ≠82Then the test is: two tailed left tailed right tailed
A medical researcher wants to determine if the average hospital stay of patients that undergo a certain procedure is less than 6 days. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≥ 6, Alternative Hypothesis: μ < 6. If the researcher takes a random sample of patients and calculates a p-value of 0.4381 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.Question 12 options: 1) We did not find enough evidence to say the true average hospital stay of patients is longer than 6 days. 2) We did not find enough evidence to say the true average hospital stay of patients is shorter than 6 days. 3) The true average hospital stay of patients is significantly shorter than 6 days. 4) The true average hospital stay of patients is longer than or equal to 6 days. 5) We did not find enough evidence to say a significant difference exists

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