1. A retail store receives an average of 5.9 return per day. For a sample of 7 days, it received the following number of retums: 7, 8, 9, 8, 7, 7, 10. At 5% significance level, can we conclude the mean number returns is more than 5.9? A) State Ho and H. B) Test the hypothesis using the P-Value approach. C) What are Type I and Type II errors?
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- A study is designed to determine the effect of an office-training course on typing productivity. Fifteen typists who have not taken the course are randomly selected. The investigator assigns 20 pages of equally difficult text to be typed by each typist both before and after completing the training course. The investigator wants to find out whether the training course has reduced the number of errors by more than 10. Define d = Before − After. Significance level What conclusion should we reach if the p-value is 0.113?7. b. Test statistic = ? c. P-value = ? d. Reject/Accept null hypothesis ?Since an instant replay system for tennis was introduced at a major tournament, men challenged 1421 referee calls, with the result that 418 of the calls were overturned. Women challenged 778 referee calls, and 228 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. O A. Ho: P1 = P2 O C. Ho:P1 = P2 H1: P1 > P2 O B. Ho:P1 = P2 H1: P1 #P2 H1: P1The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 46 49 58 55 49 68 45 48 46 45 51 50 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 49 40 58 52 49 70 49 59 47 49 53 55 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.A Gallup Poll of 800 adults showed that 510 adults are opposed to high school students attending school year-round without the traditional summer break. We want to test that more than 60% of all adults oppose year-round school. Use a significance level of a = 0.05. Check all of the conditions that are needed for this test. O 10% Condition O Normality Assumption O Independence Assumption Randomization Condition Success / Failure Condition O Dependence Assumption O Sample Size AssumptionA telephone company claims that more than 15% of its customers have at least two telephone lines. The company selects a random sample of 250 customers and finds that 50 have at least two telephone lines. Does the data support the claim? Use a P- value. Which of the following is correct? a. H0: p = 0.15 versus H1: p = 0.15, reject HO at 0.05 level of significance O b. H0: p ≤ 0.15 versus Hl: p > 0.15, at 0.01 level of reject HO significance c. H0: p ≤ 0.15 versus Hl: p > 0.15, not reject HO at 0.01 level of significance O d. H0: p ≤ 0.15 versus H1: p > 0.15, not reject HO at 0.05 level of significance do doThe work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 1% level of significance. Give answer to at least 4 decimal places. Hours 45 50 60 50 48 61 54 49 50 48 55 50 (a) Determine the null and alternative hypotheses? Họ: Select an answer v hours H1: Select an answer hours (b) Determine the test statistic ? (c) Determine the p-value. p-value = (d) Make a decision. O Accept the alternative hypotheis Accept the null hypothesis Do not reject the null hypothesis O Reject the null hypothesisA large manufacturing company claims that less than 10% of its customers make a complaint about the company’s products. Test this claim at the 10% significance level, if a survey found that 29 out of a random sample of 320 of the company’s customers made a complaint about the company’s products.b. In 2018, a sample of 300 in-store shoppers showed that 44 paid by debit card. The results shown in the table below were obtained when a sample of 400 in-store shoppers were surveyed in 2019. Year 2018 2019 Shoppers Surveyed Shoppers Paying by Debit Card 44 Formulate appropriate hypotheses to test whether the percentage of debit card shoppers increased, and conduct the test using a significance level of 0.01. What is your conclusion? 300 400The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 48 43 58 51 45 62 47 55 49 49 52 53 a. What are the correct hypotheses? Ho: Select an answer H₁: Select an answer b. Test Statistic = Based on the hypotheses, find the following: c. p-value = ? 0 ? 0 d. The correct decision is to Select an answer Add Work hours hours e. The correct summary would be: Select an answer hours of all employees at start-up companies work more than the US mean of 47 hours. that the mean number of11) A recent study focused on the number of times men and women send a Twitter message in a day. The sample information is summarized here. Sample Size 25 Sample Mean Population Standard Deviation Men Women 23 30 28 10 At the 0.01 significance level, we ask if there is a difference in the mean number of times men and women send a Twitter message in a day. What is the test statistic for this hypothesis? A) z-statistic B) t-statistic C) p-statistic D) df-statistic