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ozzi
4 years ago
6

Gloria collected data from a random sample of 1200 students in her school district asking whether or not they read more than one

book per month. Based on the results, she reports that 35% of the students in all state schools read more than one book per month. Why is this statistic misleading?
Mathematics
1 answer:
IgorLugansk [536]4 years ago
4 0

Answer:

Sample is biased

Step-by-step explanation:

In her experiment, Gloria assumes that the reading habits of the students in her school district are exactly the same to that of students in all state schools. This assumption is unlikely to be true and, therefore, this statistic is misleading because the sample used is biased.

From her data, all Gloria can do is report the percentage of students that read more than one book per month in her school district.

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For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

  • 95% confidence interval = (0.5352, 0.4462)
  • 95% confidence interval = (0.3424, 0.2894)
  • 53% increased risk of divorce for smokers.

<h3>What is the 95% confidence interval for smokers and non-smokers?</h3>

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

0.4907±0.0445

Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

Read more about Confidence interval

brainly.com/question/17097944

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