#### (Solved): Question 6 Background: Carbonated Beverages The Website Popvssoda.com Collects Survey Data On What A ...

Question 6 Background: Carbonated Beverages The website popvssoda.com collects survey data on what a person from a particular region calls a sweetened, carbonated beverage:"pop" or "soda". Northern states are known for using the word "pop", so we wish to compare the usage of "pop" for Ohio versus a more northern state, Michigan. Assuming that the data comes from a random sample, it is revealed that 61% of the sampled Ohio residents (group 1) use the word "pop" instead of "soda", and 74% of sampled Michigan residents (group 2) use the word "pop" instead of "soda". It is also revealed that more Michigan residents were surveyed than Ohio residents. You are asked to complete a hypothesis test using a 5% significance level to determine to determine if the proportion of all Ohio residents who use the word "pop" is less than that of all Michigan residents. 6.e 2 point(s) The p-value was found to be 0.0217. What can be said about this p-value? Select all statements that apply. 0 The probability that the proportion of all Ohio residents who call a carbonated beverage "pop equals the proportion of all Michgan residents who call a carbonated beverage "pop" is 0.0217. If the two population proportions are equal, that is assuming the proportion of all Ohio residents who call a carbonated beverage "pop" equals the proportion of all Michgan residents who call a carbonated beverage "pop", the probability of observing a difference in sample proportions (Ohio less Michigan) of -0.13 or smaller is 0.0217. If the two population proportions are equal, that is assuming the proportion of all Ohio residents who call a carbonated beverage "pop" equals the proportion of all Michgan residents who call a carbonated beverage "pop", the probability of observing a z test statistic value same as or smaller than the one we obtained from our sample is 0.0217. If we were to repeat this study many times and if the two population proportions are equal, that is assuming the proportion of all Ohio residents who call a carbonated beverage "pop" equals the proportion of all Michgan residents who call a carbonated beverage "pop", we would expect to observe a z test statistic value same as or smaller than the one we obtained from our sample in 2.17% of the repetitions. The p-value 0.0217 is the smallest significance level for which Ho can be rejected. 0 The p-value 0.0217 is the largest significance level for which Ho can be rejected. 6.f 0.5 point(s) Suppose the two population proportions are equal, that is assume that the proportion of all Ohio residents who call a carbonated beverage "pop" equals the proportion of all Michigan residents who call a carbonated beverage "pop". If we were to repeat this study 20 times, each time taking independent random samples of the same size, conducting the same hypothesis test at the same signficance level (previously stated to be 5%), then how many decisions would we expect to be correct? 05% 0 95% 0 1 019 0 0 020 O Can't be determined