2. In each of the following situations, state whether it is a correctly stated hypothesis testing problem and why. (a) Ho: u = 25, H1: µ # 25 o > 10, H1: o = 10 (c) Ho: x = 50, H1: x # 50 (Note: x is with bar or x-bar) (d) Ho: p = 0.1, H1: p = 0.5 (e) Ho: s = 30, H1: s > 30

Explain the meaning of each of the following in the context of hypothesis testing. a. α b. β c. 1 − β

At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 39% of students will find a match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample of 160 students who visited the site looking for a roommate. Of the students surveyed, 54 said they found a match their first time using the site. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to reject the claim that the proportion, p, of all students who will find a match their first time using the site is 39%. (a) State the null hypothesis H, and the alternative hypothesis H₁ that you would use for the test. Ho: H₁:0 р 0<0 0<0 □□ 0=0 (b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One standard is that np≥ 10 and (1-p) ≥10 under the assumption that the…

If you hypothesize that there is no difference between means, this means the alternative hypothesis is ??: ?1 = ?2   Determine whether the statement is true or false. If the statement is false, EXPLAIN why.

The academic planner of a university thinks that at least 34% of the entire student body attends summer school. Which of the following is the correct set of hypotheses to test his bélle ? Ho:p 0.34 H:ps 0.34 Ho: P2 0.34 H:p 0.34

According to a report done last year by the dental industry, 81% of dentists would recommend Starry Whites toothpaste. After some recent negative publicity, the sales team at Starry Whites suspects the proportion of dentists who now recommend the brand is lower. The team chooses 150 dentists at random and asks them whether they'd recommend the brand. Of those, 118 say they'd recommend it. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to conclude that the proportion, p, of all dentists who now recommend this brand is less than 81%. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. ( Ho: Aa O 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.

A student majoring in Business who has passed the Business Math course suspects that the average price of dinner at the X restaurant has increased during the pandemic. Before the pandemic, the price for dinner he paid was $21, $22, $22.50, $23, $23.50. After the pandemic, he paid $25, $25.50, $30, $27, and $26.50. a) Perform a hypothesis test analysis to find out whether there has been an average increase in the price of lunch (Use six Hypothesis Testing Steps with one tailed hypothesis test & without p value) ! b) Interpret (and explain) the results of point a above!

The alternative hypothesis is also called the:       A. Null hypothesis       B. Statistical hypothesis       C. Research hypothesis       D. Simple hypothesis

At a nearby college, there is a school-sponsored website that matches people looking for roommates. According to the school's reports, 42% of students will find a match their first time using the site. A writer for the school newspaper tests this claim by choosing a random sample of 170 students who visited the site looking for a roommate. Of the students surveyed, 86 said they found a match their first time using the site. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to reject the claim that the proportion, p, of all students who will find a match their first time using the site is 42%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H₁: p=0.42 H₁: p = 0.42 020 0=0 ロッロ ロロ (b) For your hypothesis test, you will use a Z-test. Find the values of p and (1-p) to confirm that a Z-test can be used. (One standard is that np ≥ 10 and (1-p) ≥10 under the assumption…