When talking about the outcome (or conclusion) of a statisticaltest, we usually have two options1. Reject the null hypothesis if p-value < alpha2. Do not reject ...

True or False: When testing a hypothesis using the $P$ -value Approach, if the $P$ -value is large, we reject the null hypothesis.

A large P value in a test will favor rejection off the null hypothesis. This is false. A smaller P value will favor the rejection off null hypothesis the people. You should be small if I want to reject the null hypothesis.

In this exercise, we're going to be answering with true or false. Uh and then explaining our answer forgiven statement and the statement goes like this. If it is important not to reject a true non hypothesis, the hypothesis test should be performed at a small significance level, true or false and the answer is true. Let's look at the sentence, the statement again, he's seen. It is important not to reject a true national hypothesis. In other words, it is important not to make a type one error. Okay, Okay. If it is important not to make a type one error, should we perform the the the test at a small significance level Alpha? Yes, the alpha should be small because we want to reduce the probability Of making a Type one error. In other words, we want to reduce the type one error probability and remember the tape one probability uh Type one error probability is alpha. So if we perform the test with a small significance level, then uh it will be important. We will reduce the chances of rejecting. And now hypotheses when it is in fact true.

If you decide to reject the null hypothesis, then you support the alternative hypothesis. Is this true or false? This is a true statement. This is true.

True or false? One testing hypothesis via classical approach, If P hat, that is the test statistic for the proportion is too many standard deviations from P and H not. That is the population proportion we estimate with HR or the null hypothesis, we reject H not. So when P hat is too many standard deviations from P and H not, Do we reject H not? Is this true or false? So for the classical approach, remember that we're using P hat to calculate the Z score where the Z score corresponds to a standard deviation for the standard normal distribution, which has mu zero sigma one. So we reject H and I remember when the probability that Z is greater than the Z score, specifically for a right tailed test in this example exceeds the critical value, which is also as you score. So basically we're saying that our standard deviation for Z given by r P hat is greater than the standard deviation Z for a critical value. Its many standard deviations away from the center. So we can think of this question as true, since he had essentially used to find a standard deviation for the standard normal, and we only reject H, not when that standard deviation is significantly high, we can consider the statement trip.