Use the following information to answer questions 1 - 3:

Q1. In a random sample of 80 coffee shops in Vancouver, it is found that a latte costs an average of $4.85 with a standard deviation of $0.35. Using alpha = 0.05, determine if the average price is significantly higher than $4.60.

Fill in the blanks to construct the correct null and alternate hypotheses.

H₀: [ Select ] ["p", "p-hat", "", "y-bar"] [ Select ] ["<", "=", ">", ""] [ Select ] ["4.85", "4.60"]

H_A: [ Select ] ["p", "p-hat", "", "y-bar"] [ Select ] ["<", "=", ">", ""] [ Select ] ["4.85", "4.60"]

Q2. What is the value of the test statistic? Answer to three decimal places.

Q3. If a p-value of 0.054 were found, what would the decision be? Fill in the blanks to make the sentence below correct.

[ Select ] ["Fail to reject H0.", "Reject H0."] The average is [ Select ] ["significantly different from", "significantly less than", "significantly more than", "not significantly different from", "not significantly less than", "not significantly more than"] [ Select ] ["$4.85", "$4.60"] .

Q5 Use the following information to answer questions 5 - 6:

In a random sample of 500 advertisements for apartments to rent in Vancouver, 6.5% indicated that cats and dogs were allowed. In Toronto, 8.3% of all apartments for rent indicate that cats and dogs are allowed. Is Vancouver significantly less pet-friendly than Toronto? Use alpha = 0.01 and the hypotheses below.

H₀: p = 0.083

H_A: p < 0.083

What is the test statistic? Answer to three decimal places

Q6. What is the critical value for this hypothesis test? Answer to three decimal places.