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A student survey was conducted at a major university. Data were collected from a random sample of 236 undergraduate students, and the information that was

  1. A student survey was conducted at a major university. Data were collected from a random sample of 236 undergraduate students, and the information that was collected included physical characteristics and behaviors. In this exercise we will focus on exploring the relationship between student's sex and typical seating location in class.

Typically sits in Front of classroom.

Typically sits in Middle of classroom.

Typically sits in Back of classroom.

Total

Women

37

91

22

150

Men

15

46

25

86

Total

52

137

47

236

Directions: In A-D, show as fraction, Then turn it into a percentage and round to the nearest tenth of a percent.

  1. What is the probability that a randomly selected participant is a woman who typically sits in the back?

  1. What percentage of the women typically sit in the back?

  1. Of those participants who typically sit in the back, what percentage are women?

  1. What is the probability that a randomly selected participant is a man given they sit in the back?

  1. What proportion of participants are women?

Is the data sufficient to conclude that a majority of undergraduate students in this university are women? Show all 4 steps to the test of hypothesis.

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