Please create a picture / graph for question c

8.6 Write a short sentence or two explaining what is wrong in each situation and why it is wrong. (a) (1m) A researcher tests the following null hypothesis: Hy: X =23, Null hypothesis should be about p, the population mean. (b) (1m) A random sample of size 30 is taken from a population that is assumed to have a standard deviation of 5. The standard deviation of the sample mean is 5/30. g 5 The standard deviation of the sample meanis = [ v ) (c) (1m) A study with X = 45 reports statistical significance for Ha:u>50. (Hint: Draw picture) The pvalue is defined for a right sided significance test as P(t > t*). Here, the test statistic would be negative, and the P(t > t*) would be above 0.5. Since a significance level is chosen to be a small number (generally between 0.001 to 0.10) Ho would not be rejected in this case, and a finding of statistical significance would not occur. (d) (1m) A significance test rejected the null hypothesis that the sample mean is equal to 500. Should say \"population mean\" rather than \"sample mean\" (e) (1m) A tutor wants to test that the average score of her students on the ACT is better than the national average score of 21.2. She states her null hypothesis to be Ho: p>21.2 . Should say \"alternative hypothesis\" rather than \"null hypothesis\" (f) (1m) A study summary says that the results are statistically significant and the P-value is 0.98. A p-value of 0.98 would not result in a statistically significant result. a is chosen to be a small percent (generally between 0.001 and 0.10.) (g) (1m) The z test statistic is equal to 0.018. Because this is less than a=0.05, the null hypothesis was rejected. The test statistic is not the value compared to alpha. It is the p-value that is compared to a