a survey of parents indicated that 62% of parents felt their students spent too much time on social media…

a survey of parents indicated that 62% of parents felt their students spent too much time on social media, with a margin of error of 2%.\n6. out of a group of 2400 parents, how many parents would likely feel that their children spend too much time on social media?\n7. out of a group of 2400 parents, how many parents would likely not feel that their children spend too much time on social media?\nin a survey of 200 families, 32% of families reported that they eat out less than twice a week, 45% report they eat out twice a week, and 23% report they eat out more than twice a week. the survey has a margin of error of 0.8%.\n8. what is the expected number of families that eat out twice a week?\n9. what is the range of families that eat out less than twice a week?\n10. what is the range of families that eat out more than twice a week?

a survey of parents indicated that 62% of parents felt their students spent too much time on social media, with a margin of error of 2%.\n6. out of a group of 2400 parents, how many parents would likely feel that their children spend too much time on social media?\n7. out of a group of 2400 parents, how many parents would likely not feel that their children spend too much time on social media?\nin a survey of 200 families, 32% of families reported that they eat out less than twice a week, 45% report they eat out twice a week, and 23% report they eat out more than twice a week. the survey has a margin of error of 0.8%.\n8. what is the expected number of families that eat out twice a week?\n9. what is the range of families that eat out less than twice a week?\n10. what is the range of families that eat out more than twice a week?

Answer

Explanation:

Step1: Calculate number of parents who feel kids spend too much time

We use the percentage formula: number = percentage×total. Given 62% of 2400 parents feel kids spend too much time on social - media. So, the number is $0.62\times2400$. $0.62\times2400 = 1488$

Step2: Calculate number of parents who don't feel kids spend too much time

The percentage of parents who don't feel kids spend too much time is $100 - 62=38%$. Using the percentage formula, the number is $0.38\times2400$. $0.38\times2400 = 912$

Step3: Calculate expected number of families that eat out twice a week

Given 45% of 200 families eat out twice a week. Using the percentage formula, the number is $0.45\times200$. $0.45\times200 = 90$

Step4: Calculate range of families that eat out less than twice a week

The percentage of families that eat out less than twice a week is 32% with a margin of error of 0.8%. The lower - bound is $(0.32 - 0.008)\times200$ and the upper - bound is $(0.32+0.008)\times200$. Lower - bound: $(0.32 - 0.008)\times200=0.312\times200 = 62.4\approx62$ Upper - bound: $(0.32 + 0.008)\times200=0.328\times200 = 65.6\approx66$ The range is from 62 to 66.

Step5: Calculate range of families that eat out more than twice a week

The percentage of families that eat out more than twice a week is 23% with a margin of error of 0.8%. The lower - bound is $(0.23 - 0.008)\times200$ and the upper - bound is $(0.23+0.008)\times200$. Lower - bound: $(0.23 - 0.008)\times200=0.222\times200 = 44.4\approx44$ Upper - bound: $(0.23 + 0.008)\times200=0.238\times200 = 47.6\approx48$ The range is from 44 to 48.

Answer:

  1. 1488
  2. 912
  3. 90
  4. 62 - 66
  5. 44 - 48