please help with hw questions

3/21, 6:46 PM MyOpenMath In a random sample of 107 Comcast customers, 20 said that they experienced an internet outage in the past month. a. Construct a 84% confidence interval for the proportion of all customers who experienced an internet outage in the past month. Critical value: z* = (Enter the positive one.) Margin of Error: E = Confidence Interval: ( b. Interpret your result in part (a) in a complete sentence. c. Based on the confidence interval, can you conclude that less than 25% of all customers experienced an internet outage in the past month? O Yes O No d. Based on the confidence interval, can you conclude that less than 20% of all customers experienced an internet outage in the past month? O Yes O No e. If the sample size were 100 rather than 107, would the margin of error be larger or smaller than the result in part (a)? O Larger O Smaller f. If the confidence level were 98% rather than 84%, would the margin of error be larger or smaller than the result in part (a). O Larger O SmallerA marketing analyst sampled 125 college students and found that 43 of them preferred Spotify as their main music streaming service. a. Construct a 93% confidence interval for the proportion of all college students who prefer Spotify as their main music streaming service. Critical value: z * = (Enter the positive one.) Margin of Error: E = Confidence Interval: ( b. Interpret your result in part (a) in a complete sentence. c. Based on the confidence interval, can the marketing analyst conclude that more than 30% of all college students prefer Spotify as their main music streaming service? O Yes O No d. Based on the confidence interval, can the marketing analyst conclude that more than 25% of all college students prefer Spotify as their main music streaming service? O Yes O No e. If 250 college students were sampled, would the width of the interval become wider or narrower? O Wider O Narrower f. If a 90% confidence level were used, would the width of the interval become wider or narrower? O Wider O Narrower