Describe type I and type II errors for a hypothesis test of the indicated claim.   A lumber store claims that no more than 20​% of its new customers will return to buy their next order of lumber. Describe the type I error. Choose the correct answer below.     A. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is at least 0.20​, but you reject H0​: p≥0.20.   B. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is no more than 0.20​, but you fail to reject H0​: p≤0.20.   C. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is no more than 0.20​, but you reject H0​: p≤0.20.   D. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is at least 0.20​, but you fail to reject H0​: p≥0.20. Describe the type II error. Choose the correct answer below.     A. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is more than 0.20​, but you fail to reject H0​: p≤0.20.   B. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is less than 0.20​, but you fail to reject H0​: p≤0.20.   C. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is more than 0.20​, but you reject H0​: p≥0.20.   D. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is less than 0.20​, but you reject H0​: p≥0.20.   Click to select your answer.

Question is attached to the screenshot need help with only parts D and E thanks!

Some experts believe that 16% of all freshwater fish in a country have such high levels of mercury that they are dangerous to eat. Suppose a fish market has 200 fish tested, and 29 of them have dangerous levels of mercury. Test the hypothesis that this sample is not from a population with 16% dangerous fish, assuming that this is a random sample. Use a significance level of 0.05. Comment on your conclusion. State the null and alternative hypotheses. О А. Но: р30.16 Hạ: p+0.16 В. Но: р#0.16 Ha: p= 0.16 Ос. Но: р> 0.16 Hại p0.16 ОЕ. Но: р0.16 Determine the z-test statistic. Z= (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.)

Auditors make assessments on the basis of their individual experience, the experience of others, or a combination of experiences.  A study of the auditors’ methods was performed.  The average number of errors is recorded. At a=0.10, test the claim that errors are equal.     Individual Experience Experience of Others Combination   19.9 18.4 21.1   19.1 19.6 18.3   23.3 15.4 21.3   19.3 21.5 23.8   20.1 17.4 23.4   19.7 23.1 17.2   23.4 17.6 20.1   17.3 20.3 20.4   22.3 20.1 20.7   21.0 18.4 17.4   19.5 19.9 23.6   20.0 22.1 19.1   20.1 20.6 24.9   17.8 17.7 21.5   19.2 22.0 17.5   18.3 19.6 24.4   20.2 20.5 20.8   19.7 26.2 20.2   22.7   21.7

Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data.  Test the null hypothesis that the population frequencies for each category are equal.  α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe =   What is the correct result based on the data?

Populations are different than samples because_________________. (Select all that apply).     a. parameters always have more error than a statistic.     b. the  population is always larger than the sample.     c. Parameters always have less error than a statistic.

R3.23. Tips In restaurants, servers rely on tips as a major source of income. Does serving candy after the meal produce larger tips? To find out, two waiters determined randomly whether or not to give candy to 92 dining parties. They recorded the sizes of the tips and reported that guests getting candy tipped an average of 17.8% of the bill, compared with an average tip of only 15.1% from those who got no candy. ("Sweetening the Till: The Use of Candy to Increase Restaurant Tipping," Journal of Applied Social Psychology 32, no. 2 [2002]: 300-309) a) Was this an experiment or an observational study? Explain. b) Is it reasonable to conclude that the candy caused guests to tip more? Explain. c) The researchers said the difference was statistically sig- nificant. Explain in this context what that means.

Pls refer to image

Need help with parts C & D The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 191 Americans is administered the acupuncturists treatment and 25 report experiencing migraines.a. State Hypotheses to the scenario using the correct symbols. b. What is the sample proportion? (Round to 2 decimal places) ˆpp^= c. Suppose the P-value is calculated to be 0.0318What would your decision be for this test using α=α= 0.025? fail to reject the null accept the null reject the null d. Write a conclusion in terms of the acupuncturist's claim. Use the model provided by the instructor. Assume no errors were made.

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