Quest'on 2 Of 9 TI'IlS QUE-Silo": 1 p0int(s} [1055le Submit test There has been rapid growth in the land area planted with high yielding. high protein soybeans particularly suited to local climate. many of which are not genetically modied (non-6M0]. Asurvey of 435 soybean farmers found that ?5% of them grew nonGMO soybeans. Complete parts (a) through (d) below. a) Calculate a 90% condence interval for this proportion. stating your assumptions clearly. Interpret its meaning. Identify all assumption required in order for a 90% condence interval for this proportion to be calculated. Select all that apply. :I A. The decisions of soybean farmers in the sample about whether to grow nonGMO soybeans are correlated. :I B. The soybean farmers in the sample make their decisions of whether to grow nonGMO soybeans independently of each other. :I C. There are no outliers among the soybean farmers in the sample. :I D- The size of the population of soybean farmers is greater than (Type a whole number] :I E. The soybean farmers in the sample were selected at random. :I F. The proportion of soybean farmers in the population who growGMO soybeans at any time follows a Normal distribution. :I G. No assumptions are required. Calculate the 90% confidence interval for this proportion. The interval is between \"it: and \"ab. (Round to one decimal place as needed. Use ascending order.) Interpret the meaning of the interval. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. It can be stated with % confidence that p is contained within the interval's bounds. (Round to one decimal place as needed.) O B. It can be stated with % confidence that the true percentage of soybean farmers who grew non-GMO soybeans at the time of the survey is within the interval's bounds. (Round to one decimal place as needed.) O C. The percentage of all soybean farmers who grew non-GMO soybeans at the time of this survey was between the interval's bounds. O D. In % of samples of soybean farmers taken during the time of this survey, the proportion who grow non-GMO soybeans will be between the interval's bounds. (Round to one decimal place as needed.) b) How much wider or narrower would this confidence interval have been if only 218 soybean farmers had been surveyed? The width of the interval if only 218 soybean farmers had been surveyed would be | time(s) the width of the original interval. (Round to two decimal places as needed.) c) How many times wider or narrower would a 99% confidence interval be? The width of a 99% confidence interval would be time(s) the width of the 90% confidence interval. (Round to two decimal places as needed.)The width of a 99% confidence interval would be time(s) the width of the 90% confidence interval. (Round to two decimal places as needed.) d) Seven years later, a survey of 295 soybean farmers found that 71% of them grew non-GMO soybeans. Can it be said with 95% confidence that the proportion of farmers growing non-GMO soybeans has changed? The 95% confidence interval for the new proportion is between |% and %. Because this %, it be said with 95% confidence that the proportion of farmers growing non-GMO soybeans has changed. (Round to one decimal place as needed. Use ascending order.)