According to a survey in a? country, 39?% of adults do not own acredit card. Suppose a simple random sample of 200 adults isobtained. Complete parts? (a) through? (d) below. Click here toview the standard normal distribution table (page 1). LOADING...Click here to view the standard normal distribution table (page 2).LOADING... ?(a) Describe the sampling distribution ofModifyingAbove p with caret?, the sample proportion of adults whodo not own a credit card. Choose the phrase that best describes theshape of the sampling distribution of ModifyingAbove p with caretbelow. A. Not normal because n less than or equals 0.05 Upper N andnp left parenthesis 1 minus p right parenthesis greater than orequals 10 B. Approximately normal because n less than or equals0.05 Upper N and np left parenthesis 1 minus p right parenthesisless than 10 C. Approximately normal because n less than or equals0.05 Upper N and np left parenthesis 1 minus p right parenthesisgreater than or equals 10 D. Not normal because n less than orequals 0.05 Upper N and np left parenthesis 1 minus p rightparenthesis less than 10 Determine the mean of the samplingdistribution of ModifyingAbove p with caret. mu SubscriptModifyingAbove p with caret Baseline equals nothing ?(Round to twodecimal places as? needed.) Determine the standard deviation of thesampling distribution of ModifyingAbove p with caret. sigmaSubscript ModifyingAbove p with caretequals nothing ?(Round tothree decimal places as? needed.) ?(b) What is the probability thatin a random sample of 200 ?adults, more than 41?% do not own acredit? card? The probability is nothing. ?(Round to four decimalplaces as? needed.) Interpret this probability. If 100 differentrandom samples of 200 adults were? obtained, one would expectnothing to result in more than 41?% not owning a credit card.?(Round to the nearest integer as? needed.) ?(c) What is theprobability that in a random sample of 200 ?adults, between 36?%and 41?% do not own a credit? card? The probability is nothing.?(Round to four decimal places as? needed.) Interpret thisprobability. If 100 different random samples of 200 adults were?obtained, one would expect nothing to result in between 36?% and41?% not owning a credit card. ?(Round to the nearest integer as?needed.) ?(d) Would it be unusual for a random sample of 200 adultsto result in 72 or fewer who do not own a credit? card? Why? Selectthe correct choice below and fill in the answer box to completeyour choice. ?(Round to four decimal places as? needed.) A. Theresult is not unusual because the probability that ModifyingAbove pwith caret is less than or equal to the sample proportion isnothing?, which is greater than? 5%. B. The result is unusualbecause the probability that ModifyingAbove p with caret is lessthan or equal to the sample proportion is nothing?, which isgreater than? 5%. C. The result is not unusual because theprobability that ModifyingAbove p with caret is less than or equalto the sample proportion is nothing?, which is less than? 5%. D.The result is unusual because the probability that ModifyingAbove pwith caret is less than or equal to the sample proportion isnothing?, which is less than? 5%.
