You are conducting a hypothesis test at the 0.05 alpha level for the claim that a coin is fair. In other words, the coin is equally likely to land heads as it is tails. The table below shows how the coin landed after many flips. Category How coin landed Observed Frequency Heads 70 Tails 60 Report all answers accurate to two decimal places. What is the chi-square test-statistic for this data? χ2=χ2= What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? p-value =

You are conducting a hypothesis test at the 0.05 alpha level for the claim that a coin is fair. In other words, the coin is equally likely to land heads as it is tails. The table below shows how the coin landed after many flips. Category How coin landed Observed Frequency Heads 70 Tails 60 Report all answers accurate to two decimal places. What is the chi-square test-statistic for this data? χ2=χ2= What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? p-value =

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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A biologist is studying the effect of exposure to radiation in mice. She hypothesizes that the rate of cancer will increase after exposure. 30 mice of the same age were irradiated. Generally,one out of every 10 mice that age has cancer. Out of the thirty mice exposed, 7 of them were found to have cancer. Test at the 0.05 level. (i) What are the null and alternative hypotheses? (ii) What is alpha and the p-value? (iii) What conclusion do we make after performing this test?
The Office of the university registrar would like to know if such degree programs are related to the gender of the students. The test claim that the proportions of the students enrolled are equal in each degree program at alpha=0.10 Using the data on the number of currently enrolled students in each gender (M of F) in each of the four degree programs, find the: a. Table showing the observed and expected values b. Chi-square critical Value c. Chi-square test statistic d. Accept or Reject the null hypothesis?
A report states the average temperature for the month of June on a specific tropical island is 98 degrees F. A meteorologist claims the report is not correct.. Data collected from 35 areas on the island showed an average temperature of 95 degrees F. Thepopulation standarddeviation is known to be 6.0 degrees F. At alpha = 0.01, can the report's average be rejected? For question #1, tell what type of test: right-tailed, left-tailed, or two-tailed. For question #2, identify the alternative hypothesis (H1) from choices given. For question #3 give just your calculated z-value that you are going to use to make a decision on the null hypothesis. For question #4, answer True or False as to whether the null hypothesis is rejected.
Approximately 71% of the US population recycles. According to a survey of a random sample of 250 college students, 181 said that they recycle. At (alpha) = 0.05, is there sufficient evidence to conclude that the proportion of college students who recycle is greater than 71%? A. State the hypotheses and identify the claim with the correct hypothesis. B. Find the critical value(s). C. Compute the test value. D. Make the decision. E. Summarize the results.
You can lower the likelihood of making a Type I error by: raising the alpha level to 0.10 lowering the alpha level to 0.01 having two statisticians interpret the SPSS output none of these options would help
In 2021 it was reported that 64% of adult Americans watch football regularly. You want to know if this percentage has increased since then. To do this you randomly sample 400 adults from across the United States. You ask all these adults, "Do you regularly watch football?" 268 of the adults respond that they do regularly watch football. Carry out the hypothesis test at alpha = 0.05 to test your claim. Please identify the followings A) null hypothesis B) alternative hypothesis C) test statistic D) critical value (s) E) p- value F) initial conclusion (reject null hypothesis or fail to reject null hypothesis) G) final conclusion regarding regarding to the given conclusion
The mayoral challenger claims that less than 30% of residents over the age of 25 have bachelor’s degrees in our city. To test this claim, you survey 80 adults over the age of 25 and find only 18 possess bachelor’s degrees. At the 5% level of significance, is there enough evidence to SUPPORT the challenger’s claim? 6.) Compare the p-value with the level of significance. Is the p-value less than or greater than alpha? 7.) Based on your answer in #6, do we reject or fail to reject the null Ho? 8.) Based on your answer in #7, do we support or fail to support the claim? 9.) At the 5% level of significance, is there enough evidence to SUPPORT the challenger’s claim? Give a full conclusion statement. Don't forget to include the level of significance and restate the claim.
Is there a difference between men and women when it comes to seeking preventative healthcare? At the alpha = 0.01 of significance, test the claim that the proportion of those who have had a wellness visit with their physician in the year is the same for men and womenLet represent the proportion of females who have had a wellness visit with physician in the past year and represent the proportion of males who have done the same. 1. Which would be correct hypotheses for this O H 0 :p P =p M ,H 1 ;p 1 >p M O H 0 :p F ne p M ,H 1 ;p F >p M H 0 :p l =p M ,H 1 ;p F <p M H 0 :p P =p M ,H 1 ;p F backslash p M O O In a random sample of 150 females , 129 have had a wellness visit with their physician in the past yearIn a random sample of 159 maleti, 109 have had a wellness visit with their physician in the past year. 2.Find the test statistic (2 decimal places) 3. Give the value (4 decimal places) only answer 2 and 3 please
If the alpha value is 0.05 p-value for Z test I get as 1.932146e-05 in excel or R. Null hypothesis will be rejected or accepted?
The amount of oxygen consumption (ml/min) was measured in 6 individuals over two 10- minute periods while sitting with their eyes closed. During the first period, they listen to an exciting adventure story and then again, an hour later while they heard restful music. Based on the results shown, is oxygen consumption different depending on whether it is a story or music one is listening to? The data is in Table 2 and test at an alpha of 0.05. Table 2. Oxygen consumption (ml/min)
In one of the hypothesis study, Robin considers to increase the alpha level. Briefly explain the effect on the Type I and Type II errors together with the probability weather he should reject the null hypothesis.
Kim was comparing the scores of the 2022 freshman class at HCC to the freshman classes between the years 2010 -2019, which were prior to COVID. She conducts a statistical test and determines that the Calculated t value is -1.4; and the critical value for a two tail test with an alpha of .05, n=220 is 1.96. Which statement below would be an appropriate decision based on her statistical analysis. A.) the null hypothesis is true, there is a difference between population means. B.) the null hypothesis is true, there is no difference between population means. C.) the null hypothesis is false, the samples are considered the same. D.)