(a) A researcher wishes to prove that more than 75% of undergraduate students at the Mcgill...

(a) A researcher wishes to prove that more than 75% of undergraduate students at the Mcgill University read McGill's student newspaper regularly. If 80% of all McGill students read the newspaper regularly, what is the probability that with a random sample of 227 students, the researcher ends up with insufficient evidence to reject the null hypothesis at the 1% significance level? In other words, what is the probability that the researcher makes a Type II error? Answer with hypotheses in formal notation, TWO fully-labelled graphs, a quantitative analysis, and the requested probability. Your graphs should be unstandardized, similar to the ones you have seen in lectures, with points/areas of interest clearly labelled.

(b) What would happen to the probability you calculated in part (a) if the researcher was trying to prove that more than 72% of undergraduate students read the newspaper, while everything else in the question remained unchanged? What is the intuition behind this? You do not need any calculations. Explain your reasoning in 1-2 sentences.

Expert Solution

orchestra answered 1 year ago

A researcher wishes to prove that less than 40% of students support the changes announced by...

A researcher wishes to prove that less than 40% of students support the changes announced by the Ford government in January 2019 to tuition, the Ontario Student Assistance Program, and student fees. If 32% of all students support the changes, what is the chance that a random sample of 250 students provides insufficient proof to meet a 5% significance level? In other words, what is the probability of a Type II error? Answer with hypotheses in formal notation, TWO fully-labelled...

In a study of habits of undergraduate students, a researcher sampled 53 students and found that...

In a study of habits of undergraduate students, a researcher sampled 53 students and found that the mean number of classes missed over the course of a school year was 18. Assume the population standard deviation, σ = 5.7. (5 points) Calculate the 95% confidence interval for the mean number of classes missed during the school year by undergraduate students. (2 points) If the researcher had sampled 75 students, would the margin of error be larger or smaller? (2 points)...

According to the College Board, undergraduate students spend on average more than $1000 per year on...

According to the College Board, undergraduate students spend on average more than $1000 per year on textbooks.* As a college student, you've suffered the high prices of textbooks, and you're going to do something about it! Let's say that after you graduate, you decide to start your own textbook publishing company. You will need to find a way to appeal to both professors and students with high quality and reasonably-priced products, but you've also got to make a profit. Feel...

A researcher is interested in determining if the more than two thirds of students would support...

A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanksgiving a holiday. The researcher asks 1,000 random selected students if they would support making the Tuesday before Thanksgiving a holiday. Seven hundred students said that they would support the extra holiday. Define the parameter. a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday. b. phat = the sample...

A researcher hypothesizes college students will be more extroverted than the population mean for extroversion and...

A researcher hypothesizes college students will be more extroverted than the population mean for extroversion and collects n = 177 students. The researcher performs a one-tail z test with alpha set to 0.05 and finds a sample z score is 2.44, showing evidence for the researcher's predictions. What is the probability (as % or proportion) the researcher made a type 1 error? b. A researcher hypothesizes that coffee drinkers and non coffee drinkers will have different incidences of clinical anxiety....

A researcher found that there is an increase in undergraduate students doing part- time jobs to...

A researcher found that there is an increase in undergraduate students doing part- time jobs to partially support their expenses. It is assumed that 55% of UWindsor students do part time jobs in this current year. The researcher randomly selected 150 UWindsor students and checked whether they work part-time jobs. Answer the following based on this data: Find the probability that more than 90 students of these 150 selected said that they do part-time jobs. Find the probability that less...

A researcher claims that more than 30 percent of students of WPU use reading glasses. A...

A researcher claims that more than 30 percent of students of WPU use reading glasses. A consumer agency wants to test this claim. The agency takes a random sample of 120 students and finds that 60 of them use reading glasses. If the agency conducts hypothesis testing, which would be the computed p-value for the test? 4.7 4.8 0.2 0.7 None of the above

Every semester, I would like for more than 75% of my students to score a 70...

Every semester, I would like for more than 75% of my students to score a 70 or higher on the first test. This semester, out of the 72 students who took the first test, 59 got at least a C (scored higher a 70 or higher). Is there sufficient evidence to conclude, at the 10% significance level, that more than 75% of the students got at least a C on the first exam? Find the p-value. Identify the null and...

4. A researcher wishes to determine whether Toyota Corollas use more gas than Honda Civics after...

4. A researcher wishes to determine whether Toyota Corollas use more gas than Honda Civics after 10,000 miles of use. Use the computer output below to test the claim at a 1% significance level that Corollas use more gas on average than Civics (Note: we made the comparison: μcorolla - μcivic). test stat, df, p-value, mean dif, st. error, 2.67, 44, 0.005, 4.38, 1.92 Do not reject the null; The test does not show a significant difference between the two...

A researcher interested in a relationship between self-esteem and depression conducted a study on undergraduate students...

A researcher interested in a relationship between self-esteem and depression conducted a study on undergraduate students and obtained a Person correlation of r = - 0.32, n = 25, p > .05 between these two variables. Based on this result the correct conclusion is _______. A. reject null hypothesis; there is a significant negative correlation between self-esteem and depression. B. reject null hypothesis; there is no significant correlation between self-esteem and depression. C. fail to reject null hypothesis; there is...

Question