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valentina_108 [34]
3 years ago
14

Mr.Q's class is having a giveaway where his students can receive 100 classroom credits. He will pull names out of a hat and sele

ct two winners. Once a student wins, they are not eligible to win a second time. If there are 40 total people in the class, including you and your best friend.
What is the probability that both you and your best friend get the 100 classroom credits?
PLEASE SHOW WORK!!​
Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0

Answer:

1/1560

Step-by-step explanation:

The chance of you winning is 1/40, since there are 40 students and you are one of those students. Since, you cannot win again once you win once, you are eliminated. This leaves us with 39 people left. The chances of your friend being chosen out of the 39 people left is 1/39. Now you must multiply 1/40 and 1/39. After multiplying, you get 1/1560.

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The question is incomplete:

<em>"A researcher finds that of 1000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble. Of 1200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are different."</em>

This is a hypothesis test for the difference between proportions.

The claim is that the proportions are not equal.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0

The significance level is 0.05.

The sample 1, of size n1=1000 has a proportion of p1=0.031.

p_1=X_1/n_1=31/1000=0.031

The sample 2, of size n2=1200 has a proportion of p2=0.018.

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The estimated standard error of the difference between means is computed using the formula:

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As the P-value (0.048) is smaller than the significance level (0.05), the effect is significant.

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