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Nataliya [291]
2 years ago
5

Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 10 17 6 33 Female 11 15 13 39

Total 21 32 19 72 If one student is chosen at random, Find the probability that the student was male AND got a "C". Submit Question Question 14
Mathematics
1 answer:
Akimi4 [234]2 years ago
6 0

Answer:

1 / 12

Step-by-step explanation:

Given the following data:

_______A___ B ___C ___Total

Male__ 10 __ 17 ___6___ 33

Female_ 11__ 15___ 13___ 39

Total___21__ 32__ 19___ 72

Find the probability that the student was male AND got a "C"

Number of males who got C = 6

Total number of student students = 72

P(student was male and got C) = (number of males who got C / total number of students)

= 6 / 72

= 1 / 12

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The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.

<h3 /><h3>What is a type II error?</h3>

A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.

It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.

<h3>How the type II error is related to the significance level?</h3>

The relation between type II error and the significance level(α):

  • The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
  • The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
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From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.

Learn more about type II error of a hypothesis test here:

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1 year ago
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kykrilka [37]

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Step-by-step explanation:

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hodyreva [135]
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