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The test statistic of z = 2.45 is oblained when testing the claim that p > 0.4 Identify the hypothesis test as being two-tailed, left-tailed, or right-lailed. Fi...

Question

The test statistic of z = 2.45 is oblained when testing the claim that p > 0.4 Identify the hypothesis test as being two-tailed, left-tailed, or right-lailed. Find the P-value Using significance level of a = 0.10, should we reject Ho or should we fail to reject Ho Clickhere lo view paqe ofthe standard nommal diskiution table Click here lo viewpage thestandardnommaldistribution tableThis istestP-value(Round t0 tnree decimal places as needed: )Choose the correct conclusion below;Reject Ho: The

The test statistic of z = 2.45 is oblained when testing the claim that p > 0.4 Identify the hypothesis test as being two-tailed, left-tailed, or right-lailed. Find the P-value Using significance level of a = 0.10, should we reject Ho or should we fail to reject Ho Clickhere lo view paqe ofthe standard nommal diskiution table Click here lo viewpage thestandardnommaldistribution table This is test P-value (Round t0 tnree decimal places as needed: ) Choose the correct conclusion below; Reject Ho: There is not sufficient evidence to support Ihe claim that 0.4 Fail to reject Ho: There is sufficient evidence t0 support the claim that 0.4 Reject Ho: There sufficient Iidence t0 support the claim that 0,4 Fail to reject H Thera: nol sulficient avidence support the claim Ihat p > 0.4, Click to select vour answorts)



Answers

Find the P-value for the hypothesis test with the standardized test statistic $z .$ Decide whether to reject $H_{0}$ for the level of significance $\alpha .$ Left-tailed test $z=-1.55$ $\alpha=0.05$

These are the statistics that we have. We have a sample size of 49. Our sample standard deviation is 21 our sample means 0.4. Now, what exactly is the claim? If I look at the question? Okay. We are testing the claim that with the garlic treatment, the mean change in LDL cholesterol is greater than zero, which means are null hyper. Yeah, are null hypothesis and our alternative hypothesis. Okay, so we are checking for me to be greater than zero. And what does this mean exactly? This is the difference in before and after. So this will become our alternative hypothesis. So what will be a null hypothesis? It will be mu is less than or equal to zero. Okay, now we're going to use a T test since we do not know the population standard deviation. And what is the formula to calculate the T statistic? It s t is equal to expert. This is the value that we already have minus immune. That is the hypothesized me which happens to be zero in this case, upon s sample standard deviation, we already have divided by root end the verbal root end on. What is n n is 49. So if I put in all the values over here mighty value turns out Toby 0.133 Mighty statistic turns out to be This turns out to be 0.133 Okay, Our Alfa is 0.5 We are going to perform a test and we need to know Alfa. And this is going to be our Alfa for this question. And what is the degree off freedom? Degree of freedom is given by n minus one. Degree of freedom is given by end minus one. What is N sample size, which is 49. So what is it? Minus 1 49 minus one, which is 48. This becomes my degrees of freedom. Now, in order to calculate the p values, we need only two things. One is the T statistic, and one is the degrees off freedom. Okay, so what is a P value that I'm getting the p value? If I use a online tool, then I get my P value somewhere around 0.4472 So my p value my P value is 0.4472 And this is much greater than Alfa. Right? So what I can say is, since my P value is greater than Alfa, I fail to reject each. Not I fail to read, Shake age not. Okay. Now let us look at the question. What was it? Not h not waas. That are mean. That is the difference of the mean Sorry. That is the mean difference is less than or equal to zero. So we do not have enough statistical evidence to say that arm you is greater than zero R In medical terms, we say that we do not have sufficient evidence to suggest that the treatment with raw garlic actually reduces the cholesterol levels. Okay, and these would be my answers.

Now, This time this is again a two tailed tests, and my Z value is 2.3. Miser statistic is 2.30 and my Alfa in this case is 0.1 What is the P value that I'm getting? The people that I'm getting for this is from the people who calculator. This is a two tailed tests and it is 2.3. So my answer is 0.2 My answer is close to 0.2 And since my p value 0.2 which is greater than Alfa, I fail to reject my null hypothesis. I fail to reject each knock.

Now This time Isaac Statistic is 2.46 and my Alfa 0.1 My said statistic is 2.46 now. What I'm doing is I am going to take the people. Look, Alka later, Um, using an online tool and using a single tail test a one tailed test, I get my P value as 0.69 0.69 Now, since my P value that I've got is less than Alfa, I will reject. It's not, I will reject. It's not. This would be my answer.

Now. This time this is a two tailed test. My Z value is minus 1.68 and my AL 50.5 So minus 1.68 this is my Z value, my Z statistic, and my Alfa is 0.5 Now, when I'm finding the p value, I will put in reserve statistic and I will choose this to be two tailed and my P value comes out to be 0.930 My P value is turning out to be 0.930 And since my P value is greater than my Alfa, I will fail to reject final hypothesis and this is going to be my answer.


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