Question 13 (1 point) Suppose that a report indicates that 28% of Canadian homeowners have experienced difficulty in making mortgage payments. Further suppose that a news organization randomly sampled 400 Canadian homeowners from 10 cities and found that 95 reported such difficulty. Does this indicate that the problem is less severe among homeowners in these cities? Assuming that p represents the proportion of homeowners in these 10 cities that experience difficulty in making mortgage payments, the correct null and alternative hypotheses to investigate this question is, OHozpq 0.28 and HA :p=0.28. OHozp= 0.28 and HA :p 0.28. O HO: p = 0.28 and HA : p 75 0.28. Question 14 (1 point) When a hypothesis test is being carried out, there are four different situations that can occur depending on the truthfulness of the null hypothesis. Type II error occurs when the following situation happen O The null hypothesis is false, and we reject it. Q The null hypothesis is false, but we mistakenly fail to reject it. Q The null hypothesis is true, but we mistakenly reject it. Q The null hypothesis is true, and we fail to reject it. Question 15 (1 point) It is believed that on average 50% of all children have some kind of nut allergy. A kindergarten has registered 106 incoming children. With 95% certainty, what is the lowest number of children that will have any kind of nut allergy among the 106 incoming children. (Hint: assume 95% certainty is equivalent to 2 standard deviations above and below the mean). Note: 1- Round any intermediate numbers to 4 decimal places. 2- Round your final answer to the nearest integg. Your Answer: Answer Question 16 (1 point) Out of a sample of 957 survey respondents, it was found that a proportion of 0.40 users decided pineapple belonged on pizza. Find the standard deviation of the sampling distribution. Note: 1- Round your final answer to 3 decimal places. Enter your final answer with 3 decimal places. 2- If standard deviation cannot be calculated, standard error is calculated in its place. Your Answer: Answer Question 17 (1 point) A particular cookie company boxes cookies before shipping them to the wholesaler. The packaging process is flawed, which results in some boxes having more cookies than others. A data analyst working for the company wants to find out how much variation there is in the number of cookies from one box to another, so she selects 73 boxes of cookies and counts the number of cookies in each. She finds out that in the 73 boxes she selected, there are a mean number of 27 cookies with a standard deviation of 9.0. What is the standard deviation of the sampling distribution? Note: 1- Round any intermediate numbers to 4 decimal places. 2- Round your final answer to 3 decimal places. Enter your final answer with 3 decimal places. 3- If the standard deviation cannot be calculated, the standard error is used in its place. Your Answer: Answer Question 18 (1 point) IfO' = 3.07 and SD(7) = 0.38 ,what is n =? Note: 1- Only round your final answer to the nearest integg. Your