5. If a researcher rejects a true null hypothesis, she has made a error.
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- State the null hypothesis, Ho, and the alternative hypothesis, Ha, that would be used to test each of the following claims. (a) A chicken farmer at Best Broilers claims that his chickens have a mean weight of 56 oz. Но: и ---Select--- v 56 Hạ: u |---Select--- 56 (b) The mean age of U.S. commercial jets is less than 18 years. Но: и ---Select--- 18 Hạ: µ --Select--- 18 (c) The mean monthly unpaid balance on credit card accounts is more than $400. Ho: µ | ---Select--- v 400 Hạ: µ |---Select--- v 400The body weight of a healthy 3-month old colt should be about u = test the claim that the weight of a wild Nevada colt (3-months old) is more than 60 kg. 60kg. Suppose you want to State the null and alternate hypothesis: A: Ho u= 60 kg us HA H 60 kg D: Ho u= 60 kg vs HA H< 60 kg D.Make a conclusion regarding the hypothesis .
- 2. Forty-five percent of the entering CSUN freshmen in Fall 2019 were proficient in math. www.csun.edu/counts/new_first_time_freshman.php a. You want to see if the percentage is different for this fall's entering freshmen. Your hypotheses are Ho: На: where p stands for the percentage of freshmen who were proficient in Fall 2019 / this fall. b. Suppose that the null hypothesis is true that the percentage is 45% for this fall. Here is the sampling distribution of the values of p that would be expected if you repeatedly took random samples of 150 freshman entering this fall and found the proportion proficient in math. From the sketch alone, estimate the mean and the SE 0.33 0.37 0.41 0.45 0.49 0.53 0.57 If the null hypothesis is true, would it be unusual to get 50% in your sample who were proficient in mathematics? Explain: If the null hypothesis is true, would it be unusual to get 45 freshmen in your sample who were proficient in mathematics? Explain: c. You take a random sample of 150…Suppose Ho: p = 1/3 and Ha: p not equal to 1/3. You reject Ho. What type of error could you have made here? Either a Type 1 error or a Type 2 error, they are equally likely. Туре 1 error You could not have made any errors with your conclusion based on your data. Туре 2 errorExpress the null hypothesis and the alternative hypothesis in symbolic form for a test to support this claim. Use the correct symbol (µ,p, o) for the indicated parameter. An entomologist writes an article in a scientific journal which claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light. О Но: р 0.0016 H1: ps0.0016 O Ho: p = 0.0016 H1: p > 0.0016 %3D