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prisoha [69]
3 years ago
12

In a group of 27 pupils, 15 play the flute only. 2 play the piano only. 8 play neither instrument. A student is selected at rand

om. What is the probability the student plays both instruments?
Mathematics
1 answer:
elixir [45]3 years ago
3 0
8 out of 27 or in other words 8/27



Explanation:

Since 15 play the flute and 2 play the piano, there is a possibility that one of the students out of the 8 plays both intruments.
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Read 2 more answers
g In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if Z STAT
zepelin [54]

Answer:

The P-value is 0.0166.

Step-by-step explanation:

<u>The complete question is:</u> In a​ one-tail hypothesis test where you reject H0 only in the lower ​tail, what is the p-value  if ZSTAT = -2.13.

We are given that the z-statistics value is -2.13 and we have to find the p-value.

Now, the p-value of the test statistics is given by the following condition;

                    P-value = P(Z < -2.13) = 1 - P(Z \leq 2.13)

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Assuming that the level of significance is 0.10 or 10%.

The decision rule for rejecting the null hypothesis based on p-value is given by;

  • If the P-value of the test statistics is less than the level of significance, then we have sufficient evidence to reject the null hypothesis.
  • If the P-value of the test statistics is more than the level of significance, then we have insufficient evidence to reject the null hypothesis.

Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.

3 0
3 years ago
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