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1. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.

1. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.22.

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 99% confidence level with an error of at most 0.03? Round your answer up to the next integer.

2. Consider the following frequency table representing the distribution of hours students study for an exam in a week.

Class Frequency

17-25

6

26-34

8

35-43

4

44- 52

11

53-61

2

Copy Data

Step 1 of 2:

Determine the relative frequency for the fourth class as a simplified fraction.

Step 2 of 2:

Determine the relative frequency for the third class as a simplified fraction.

3. For a story she is writing in her high school newspaper, Grace surveys moviegoers selected at random as they leave the new featureMystery on Juniper Island. She simply asks each moviegoer to rate the show using a thumbs-up or thumbs-down and records their age. The results of her survey are given in the table below. What is the probability that one of Grace's survey respondents has either given a thumbs-up rating or is over1818years-old? Enter a fraction or round your answer to44decimal places, if necessary.

18years-old and under

Over 18 years-old
Thumbs Up

27

32

Thumbs Down

26

16

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