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Hello students, I wanted to go over homework assignment 74 with ten. What do we do here is to actually exercise hypothesis testing. We continue working with proportions. Show for the, for the exercise, you will have the sustainment. Suppose there are two candidates, will call them Jones and Jones in the upcoming presidential election. Sarah nodes do. She has discussed the presidential election candidates with 15 friends and ten said that they are voting for candidate Jones. Sarah is therefore convinced that candidate Jones will win the election because jones gets more than 50% of the votes. So, for you to answer the questions for the first question, based on what you know about a statistical inference is Arya’s conclusions and logic are Confucian. Why or why not? For you to do that, you will have to do a hypothesis test. And the hypothesis tests include Writing a null hypothesis and the alternative hypotheses for the problem. Then we are completing the z-test analyses for the proportion. So this is a formula for the Z-test. And then we are concluding here based upon the critical value alpha and the value of the Z-test. To conclude the hypothesis test by rejecting or not rejecting the null hypotheses based on their cities. So just to give you a brief background or by hypothesis testing, you will have to write the null and alternative hypotheses. So what it means for us, in this case, is this. The null hypothesis and the alternative? How do you know the alternative? The alternative is always, for most of the time provided in the statement of the problem. For example, here we have Zara is therefore combines their candidate. Jones will win the election because jones gets more than 50% of the votes. So here’s a claim that Zara is convinced that the candidate Jones will win the election because jones gets more than 50% of the votes. So if I want to write my null hypotheses and my alternative hypotheses. I already have a clue in this statement about my alternative, because my alternative is the clay. And so when you write your null hypotheses, you have age, zip 0, h sub 0 is the symbols we use to determine the null hypotheses. And since we are using proportion, so we using phat. So p hat, in this case, is going to be less than or equal to 0.5. And y is 0.5 because we’re talking about percentages. 50% come a turn into a decimal is 0.5. The alternative, Exactly. And we’ll represent that with a hone. And what is the alternative here? Or actually, we’re going to do probability here because we are talking about probability. So this is not a proportion. I just want to erase that. Plato is a probability, the probability of winning. So here’s B. The probability. Please refresh your concept is probability. So the probability of winning for Prince, precedent Jones or candidate Jones gets more than 50% because that’s what sadness thinking. So this is my claim. She’s going to be greater than 0.5. So if my claim says that the probability of candidate Jones winning is 0.5, the null hypothesis is the opposite. And you are also known as the null hypotheses has the equals sign.