English, asked by pandeyshubham3789, 15 days ago

In 200 tosses of a coin, 115 heads and 85 tails were observed. Test the hypothesis that the coin is fair using a level of significance of 0.05

Answers

Answered by surajnegi0600

Answer:

The hypothesis that the coin is fair can be tested using a level of significance of 0.05. The null hypothesis is that the coin is fair, meaning that the probability of getting a head or tail is 0.5. The alternative hypothesis is that the coin is not fair, meaning that the probability of getting a head or tail is not 0.5.

Explanation:

To perform the test, we can calculate the probability of observing 115 heads or more in 200 tosses of a fair coin. This probability can be calculated using a binomial distribution. We can then compare this probability to the level of significance (0.05). If the probability is less than or equal to 0.05, we reject the null hypothesis and conclude that the coin is not fair. If the probability is greater than 0.05, we fail to reject the null hypothesis and conclude that the coin is fair.

In this case, if we use the binomial distribution, we can find that the probability of observing 115 heads or more in 200 tosses of a fair coin is less than 0.05, thus we can reject the null hypothesis, and conclude that the coin is not fair.