based off the image: calculate the value of the test statistic for the appropriate hypothesis test.
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- A recent debate about where in the United States skiers believe the skiing is best prompted the following survey of randomly selected skiers. Using α = 0.10, test to see if the best ski area is independent of the level of the skier. Write the hypotheses, calculate the expected counts, check the condition, calculate the test statistic, and use either the critical value approach or the p-value approach to make a conclusion. Best U.S. Ski Area by Level of Skier U.S. Ski Area Beginner Intermediate Advanced Tahoe 30 40 50 Utah 20 40 70 Colorado 20 50 60A researcher goes to a local park to see how many people are wearing face masks. She counts 37 women in the park, of whom 24 are wearing face masks, while 14 out of 30 men are wearing face masks. Can she say that there is a significant difference of the percent of each gender who wears masks? (Use α = .10) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:Thumbs-up is a popular and new soft drink company in India. The company wants to test the market for its product. A sample of 500 individuals participated in the taste test and 125 indicated that they like the taste. We would like to test if more than 20% of the population will like the new soft drink. For alpha=95% confidence, test the hypothesis.
- Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.01 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? Click the icon to view the data table and technology display. What are the null and alternative hypotheses? O A. Ho: Head injury measurements are affected by an interaction between type of car and size of B. Ho: Head injury measurements are not affected by an interaction between type of car and size of the car. H₁: Head injury measurements are affected by an interaction between type of car and size of the car. the car. H₁: Head injury measurements are not affected by an interaction between type of car and size…Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.10 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? Click the icon to view the data table and technology display. What are the null and alternative hypotheses? O A. Ho: Head injury measurements are not affected by an interaction between type of car and size of the car. H₁: Head injury measurements are affected by an interaction between type of car and size of the car. O C. Ho: Head injury measurements are not affected by type of car. H₁: Head injury measurements are affected by type of car. Find the test statistic. F = (Round to two decimal places as needed.)…What type of hypothesis test should be performed? Select What is the test statistic? Ex: 0.12 : Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the a = 0.1 significance level? Select
- The data below comes from a university that wanted to see if there was a relationship between High School GPA and College GPA. For each hypothesis test, provide the claim, critical values, test statistic and conclusion.1) Using a 95% level of confidence, test the claim High School GPA’s have a mean of 3.0.2) Using a 95% level of confidence, test the claim College GPA’s have a mean of 3.0.3) Using a 95% level of confidence, test the claim that the majority of students have at least a 3.0 GPA in High School. High School College GPAGPA3.88 3.713.20 2.982.88 2.713.95 3.744.1 4.03.9 3.813.4 3.332.77 2.643.55 3.363.45 3.353.05 2.973.94 3.83.65…(a) What is a sample, i.e. test, statistic? (b) Why do we compare a test statistic to the critical value(s) in a hypothesis test?Use the technology display, which results from the head injury measurements from car crash dummies listed below. The measurements are in hic (head injury criterion) units, and they are from the same cars used for the table below. Use a 0.10 significance level to test the given claim. Test the null hypothesis that head injury measurements are not affected by an interaction between the type of car (foreign, domestic) and size of the car (small, medium, large). What do you conclude? A. F = 1.41, p-value = 0.281 B. F = 2.25, p-value = 0.159 C. F = 1.37, p-value = 0.290 D. F = 0.44, p-value = 0.655
- A recent study investigated if the distribution of gender is the same across all academic ranks. Data were collected by taking a random sample of individuals from within each academic rank and then recording each individuals gender. Use the output below to conduct the appropriate hypothesis test. Use a 0.05 level of significance. Null and alternative hypotheses Test Statistic value p-value decision based on the p-valueWhen conducting a significance test in practice, how should you choose the alpha level? a) Always use alpha=0.05 since it's the most appropriate for every situation. b) Always use alpha=0.05 since it's the most commonly used one. c) Use a larger alpha when the consequences of mistakenly rejecting the null hypothesis are more serious. d) Use a smaller alpha when the consequences of mistakenly rejecting the null hypothesis are more serious.