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In a poll of 14,697 randomly selected adults in the United States, those polled spent an average of 
$95 per day in November of last year, as compared with 
$91 per day in November two years ago. The estimates had a margin of error of 
$4 at the 
95% confidence level. Which of the following is a reasonable claim to make based on this sample?
Choose 1 answer:
(A) All adults in the United States spent between 
$91 and 
$99 daily last November.
B 
95% of adults in the United States spent between 
$91 and 
$99 daily last November.
(C) It is plausible that average daily spending of adults in the United States remained the same in November of last year as it was in November two years ago.
(D) Between 
91% and 
99% of adults in the United States spent 
$4 more daily last November than in November two years ago.

In a poll of 1414,697697 randomly selected adults in the United States, those polled spent an average of $95 \$ 95 per day in November of last year, as compared with $91 \$ 91 per day in November two years ago. The estimates had a margin of error of $4 \$ 4 at the 95% 95 \% confidence level. Which of the following is a reasonable claim to make based on this sample?\newlineChoose 11 answer:\newline(A) All adults in the United States spent between $91 \$ 91 and $99 \$ 99 daily last November.\newline(B) 95% 95 \% of adults in the United States spent between $91 \$ 91 and $99 \$ 99 daily last November.\newline(C) It is plausible that average daily spending of adults in the United States remained the same in November of last year as it was in November two years ago.\newline(D) Between 91% 91 \% and $91 \$ 91 00 of adults in the United States spent $4 \$ 4 more daily last November than in November two years ago.

Full solution

Q. In a poll of 1414,697697 randomly selected adults in the United States, those polled spent an average of $95 \$ 95 per day in November of last year, as compared with $91 \$ 91 per day in November two years ago. The estimates had a margin of error of $4 \$ 4 at the 95% 95 \% confidence level. Which of the following is a reasonable claim to make based on this sample?\newlineChoose 11 answer:\newline(A) All adults in the United States spent between $91 \$ 91 and $99 \$ 99 daily last November.\newline(B) 95% 95 \% of adults in the United States spent between $91 \$ 91 and $99 \$ 99 daily last November.\newline(C) It is plausible that average daily spending of adults in the United States remained the same in November of last year as it was in November two years ago.\newline(D) Between 91% 91 \% and $91 \$ 91 00 of adults in the United States spent $4 \$ 4 more daily last November than in November two years ago.
  1. Calculate Margin of Error: Calculate the margin of error for the average daily spending. $95±$4\$95 \pm \$4
  2. Determine Spending Range: Determine the range of average daily spending with the margin of error.\newlineLower limit: $95$4=$91\$95 - \$4 = \$91\newlineUpper limit: $95+$4=$99\$95 + \$4 = \$99
  3. Analyze Claims: Analyze the claims based on the calculated range.\newline(A) Incorrect, because the margin of error does not apply to all individuals.\newline(B) Correct, because the margin of error at the 9595\% confidence level suggests that 9595\% of the population's average daily spending falls within this range.\newline(C) Incorrect, because the average spending has increased from $91\$91 to $95\$95, which is outside the margin of error.\newline(D) Incorrect, because the percentage range given (9191\% to 9999\%) does not relate to the margin of error or the average spending increase.

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