The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.250.25​, and the sample statistics include nequals=11501150 subjects with 265265 saying that they smoked a cigarette in the past week. Find the value of the test statistic.

The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment include 450 peas with 117 of them having yellow pods. Find the value of the test statistic.

In a city with three high schools, all the ninth graders took a Standardized Test, with these results: Number of ninth graders High School Mean score on test Glenwood Central City Lincoln High 81 92 72 273 333 159 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 81.7. Of course, that is incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place. mean of all ninth grader's scores =

The first pic is the question, since I’ve been receiving some incorrect answers from the tutors, I included an example problem in the second pic.

A statistician changes her level of significance from .001 to .05.  What impact will this change have on her risk of making a Type I and Type II error?  Is the change in the level of significance a good decision?  Why or why not?