**Educational Article: Analyzing Coffee Consumption at UBC****Overview:**A recent article in McBeans magazine highlighted that 80% of university students reportedly drink coffee regularly. Moonbucks, a coffee chain, plans to open a store at UBC if more than 80% of UBC students drink coffee regularly. They conducted a survey of 810 UBC students, with 680 identifying as regular coffee drinkers. The question is whether this survey supports opening a Moonbucks store at UBC.**Part i) Parameter of Interest:**What is the focus of this study?- **A.** All people at UBC that drink coffee regularly.- **B.** The proportion of all people at UBC that drink coffee regularly.- **C.** Whether a person at UBC drinks coffee regularly.- **D.** The proportion of people at UBC that drink coffee regularly out of the 810 surveyed.**Part ii) Hypotheses:**Let \( p \) be the population proportion of people at UBC that drink coffee regularly. Determine the null and alternative hypotheses:- **A.** Null: \( p = 0.80 \); Alternative: \( p = 0.84 \)- **B.** Null: \( p = 0.84 \); Alternative: \( p > 0.80 \)- **C.** Null: \( p = 0.84 \); Alternative: \( p < 0.80 \)- **D.** Null: \( p = 0.84 \); Alternative: \( p \neq 0.84 \)- **E.** Null: \( p = 0.80 \); Alternative: \( p \neq 0.80 \)- **F.** Null: \( p = 0.80 \); Alternative: \( p > 0.80 \)**Part iii) Analyzing P-value:**The P-value is about 0.0025. Based on this, which of the following are correct? (Select two)- **A.** The observed proportion of people at UBC that drink coffee regularly is unusually low if the reported value 80% is incorrect.- **B.** The reported value 80% must be false.- **C.** The observed proportion of people at UBC that drink coffee regularly is unusually low if the reported value 80% is Part iv) Based on the *P*-value (approximately 0.0025) obtained, at the 5% significance level, ...- ○ A. we should not reject the null hypothesis.- ○ B. we should reject the null hypothesis.Part v) What is an appropriate conclusion for the hypothesis test at the 5% significance level?- ○ A. There is sufficient evidence to support opening a store at UBC.- ○ B. There is insufficient evidence to support opening a store at UBC.- ○ C. There is a 5% probability that the reported value 80% is true.- ○ D. Both A. and C.- ○ E. Both B. and C.Part vi) Which of the following scenarios describe the Type II error of the test?- ○ A. The data do not provide sufficient evidence to support opening a store at UBC when in fact the true proportion of UBC people who drink coffee regularly exceeds the reported value 80%.- ○ B. The data provide sufficient evidence to support opening a store at UBC when in fact the true proportion of UBC people who drink coffee regularly is equal to the reported value 80%.- ○ C. The data do not provide sufficient evidence to support opening a store at UBC when in fact the true proportion of UBC people who drink coffee regularly is equal to the reported value 80%.- ○ D. The data provide sufficient evidence to support opening a store at UBC when in fact the true proportion of UBC people who drink coffee regularly exceeds the reported value 80%.Part vii) Based on the result of the hypothesis test, which of the following types of errors are we in a position of committing?- ○ A. Both Type I and Type II errors.- ○ B. Type II error only.- ○ C. Neither Type I nor Type II errors.- ○ D. Type I error only.

Since this a multiple part question, only first 5 are answered. Part i) The parameter of interest is…

McBeans magazine recently published a news article about caffeine consumption in universities that claims that 80% of people universities drink coffee regularly. Moonbucks, a popular coffee chain, is interested in opening a new store on UBC campus. After reading McBeans' article, they will consider opening a store in UBC if more than 80% of the people in UBC drink coffee regularly. A random sampl people from UBC was taken, and it was found that 680 out of 810 survey participants considered themselves as regular coffee drinker's. C Moonbucks' survey result provide sufficient evidence to support opening a store at UBC? Part i) What is the parameter of interest? OA. All people at UBC that drinks coffee regularly. OB. The proportion of all people at UBC that drink coffee regularly. OC. Whether a person at UBC drinks coffee regularly. OD. The proportion of people at UBC that drink coffee regularly out of the 810 surveyed. Part ii) Let p be the population proportion of people at UBC that drink coffee regularly. What are the null and alternative hypotheses? A. Null: p = 0.80. Alternative: p = 0.84. B. Null: p = 0.84. Alternative: p> 0.80. C. Null: p 0.84. Alternative: p + 0.84 D. Null: p = 0.84. Alternative: p> 0.84 OE. Null: p OF. Null: p 0.80. Alternative: p + 0.80. 0.80. Alternative: p> 0.80 Part iii) The P-value is found to be about 0.0025. Using all the information available to you, which of the following is/are correct? (check all th apply) Hint: The number of answers you should select is two. Two is the number of answers you should select. OA. The observed proportion of people at UBC that drink coffee regularly is unusually low if the reported value 80% is incorrect. OB. The reported value 80% must be false. OC. The observed proportion of people at UBC that drink coffee regularly is unusually low if the reported value 80% is correct. OD. The observed proportion of people at UBC that drink coffee regularly is unusually high if the reported value 80% is incorrect. OE. Assuming the reported value 80% is incorrect, there is a 0.0025 probability that in a random sample of 810, at least 680 of the people at UBC regularly drink coffee OF. Assuming the reported value 80% is correct, there is a 0.0025 probability that in a random sample of 810 at least Ge0 regularly drink coffee