Describe type I and type II errors for a hypothesis test of the indicated claim.   A lumber store claims that at least 25​% 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 0.25​, but you fail to reject H0​: p≥0.25.   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 0.25​, but you fail to reject H0​: p≤0.25.   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 0.25​, but you reject H0​: p≤0.25.   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 0.25​, but you reject H0​: p≥0.25. 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 0.25​, but you fail to reject H0​: p≥0.25.   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 0.25​, but you fail to reject H0​: p≥0.25.   C. 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 0.25​, but you reject H0​: p≤0.25.   D. 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 0.25​, but you reject H0​: p≤0.25.

Choose the correct answer.If the P-value of a test of significance is 0.999 then:A. the null hypothesis should be rejected.B. the null hypothesis should not be rejected.C. the alternative hypothesis provides a plausible explanation of the data.D. Both A and C are true.

A survey investigates whether the proportion of 8% for employees who commute by car to work is higher than it was five years ago. Identify the Type II error in this context. Choose the best asnwer below:    A. The survey sampled only a dozen employee commuters. B. The product of the survey's sample size and sample proportion was less than 10. C. The survey concludes that commuting by car is on the rise since the commuting can only increase. D. The survey concludes that commuting by car is on the rise, but in fact there is no change in commuting. E. The survey states there in no change in commuting, but in fact commuting by car is increasing.

You are a researcher studying a certain species of fish in a local lake.  You gather a random sample of 19 fish of this species and record the lengths (in centimeters) of the fish. The data is displayed in the table below.  Estimate the mean length of all fish of this type in the lake.  Use a 99% confidence level. 9.1 9 8.6 5.8 9.8 7.4 9.1 9.5 8.2 8.9 9.3 7.8 9 9.6 10.4 13.6 7.2 10.1 8.9   a)  Find the confidence interval:  b) What is the margin of error of your interval?  c) Interpret your 99% confidence interval in context

how do i solve for parts b, d, and e?

How many computers? In a simple random sample of 175 households, the sample mean number of personal computers was 2.94. Assume the population standard deviation is o =0.45. Answer the multiple choice question.

Random Sample of Length of Eruption at Old Faithful 108 99 105 103 99 106 90 104 109 101 DES 105 106 103 120 108 102 103 110 104 113 100 109 102 100 116 101 111 110 102 105 110 95 107 Source: LaDonna Hansen, Park Curator 103 92 103 110 101 104 90 101 108 94 110

Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the difference between proportions of men and women who own smartphones. Assume that you want 90​% confidence that your error is no more than 0.04. The sample should include ___ men and ___ women.

99% confidence; n=3100, x=1550. assume that a sample is used to estimate a population proportion p. find the margin of error E that corresponds to the given satistics and confidence level

Fertilizer: A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 381 pounds. Agriculture scientists believe that the new fertilizer may increase the yield. State the appropriate null and alternate hypotheses. Answer the following question.