1.) An insurance company sets up a statistical test with a null hypothesis that the average time for processing a claim is 7 days and an alternative hypothesis that the average time for processing a claim is greater than 7 days. After completing the statistical test, it is concluded that the average time exceeds 7 days. However, it is eventually learned that the mean process time is really 7 days. What type of error occurred in the statistical test?
a.) No error occurred in the statistical sense.
b.) Type II error
c.) Type III error
d) Type I error
2.) Given H0: μ=25, Ha: ≠25, and p=0.022. Do you reject or fail to reject H0 at the 0.01 level of significance?
a.) Fail to reject H0
b.) Reject Ho
c.) Not sufficient to decide
1.) An insurance company sets up a statistical test with a null hypothesis that the average...
You set up a two-sided hypothesis test for a population mean μ with a null hypothesis of H0:μ=100. You chose a significance level of α=0.05. The p-value calculated from the data is 0.12, and hence you failed to reject the null hypothesis. Suppose that after your analysis was completed and published, an expert informed you that the true value of μ is 104. How would you describe the result of your analysis? A) A Type 1 error was made because...
1. What are null hypothesis and alternative hypothesis? 2. Inastatisticaltest,wehavethechoiceofatwo-tailedtest,aleft- tailed test, or a right-tailed test. Which hypothesis is the determining factor for choosing the direction of the test? (In other words, how would you decide it) 3. Forthesamesampledataandnullhypothesis,howdoesthe P-value for a two-tailed test compare to that for a one-tailed test? 4. Using P-value method, how would you reject or fail to reject the null hypothesis? (what is the decision criteria?) How does level of significance matter to the hypothesis...
Express the null hypothesis and the alternative hypothesis in symbolic form. Carter Motor Company claims that its new sedan, the Libra, will average at least 25 miles per gallon in the city. Use u, the true average mileage of the Libra SELECT ALL APPLICABLE CHOICES A) Ha : μ > 25 (claim) Ho : μ 25 H1 : μ < 25 Hi : μ > 25 (claim) C) D) Ho : μ> 25 Ho : μ = 25 H1 :...
A hypothesis test is used to test the hypotheses H0: μ = 10.5 versus HA: μ > 10.5 where μ = the mean weight of a one-year old tabby cat. Based on a random sample of 21 cats, a p-value of 0.0234 is found. a) Using α = 0.05, what is the conclusion for this test, reject or fail to reject the null hypothesis? b) Based on your answer to part b, what type of error did you possibly make,...
An economist conducted a hypothesis test to test the claim that the average cost of eating a meal away from home decreased from 2009 to 2010. The average cost of eating a meal away from home in 2009 was $7.15 per person per meal. Assume that all conditions for testing have been met. He used technology to complete the hypothesis test and the p-value is 0.0315. Following is his null and alternative hypothesis and the output from his graphing calculator....
Question 19 (5 points) A Type I error occurs in hypothesis testing when we Question 19 options: a) reject the alternative hypothesis and the alternative hypothesis is true. b) fail to reject the null hypothesis and the null hypothesis is false. c) fail to reject the alternative hypothesis and the alternative hypothesis is false. d) reject the null hypothesis and the null hypothesis is true. Question 20 (5 points) A golfer claims that his average golf score at the course...
Question 29 1 pts If a test of hypothesis is conducted at a 0.05 level of significance and the p-value resulting from the analysis is 0.092. The conclusion is: Reject the null hypothesis Fail to reject the null hypothesis Reject the alternative hypothesis Question 30 1 pts If a test of hypothesis is conducted at a 0.05 level of significance and the p-value resulting from the analysis is 0.092. The potential type of statistical error is: Type Il error Type...
Continuing with the hypothesis test in the previous question, H0: μ = 180, suppose the SIR = 1.17 and you choose a 5% Type-I error rate (alpha). If the SIR statistic’s p-value = 0.022, what would you conclude about the hospital’s CLABSI rate? Reject H0 and conclude the hospital’s rate is different from the expected baseline rate. Reject H0 and conclude the hospital’s rate does not differ from the expected baseline rate. Do not reject H0 and conclude the hospital’s...
Your research supervisor wants you to test the null hypothesis H0: μ = 25 against the one-sided alternative hypothesis Ha: μ < 25. The population has a normal distribution with a variance of 16. You are told to use a sample size of 100 and a rejection region of . State the probability of a Type II error for this test of significance to four digits to the right of the decimal point under the alternative hypothesis that μ = 24.
The average temperature in St. Louis in November of 2018 was 38.8oF38.8oF . The unusually cold weather in St. Louis and other places around the country prompted President Trump to tweet at the time that this was proof that global warming cannot be real. Let’s put that claim to a statistical test: According to the National Oceanic and Atmospheric Administration (NOAA, retrieved from www.weather.gov), the average daily temperature in St. Louis in November (starting in 1838) is 45.05oF use this...