I am having a hard time with my stats problems in some problems I have to claim Ho, Ha / P value

Question 1

Test the claim that the mean number of headaches people get in a week is less than 7.Use a significance level of .12.

6, 2, 0, 5, 8, 4, 7,4, 0, 9

Number of headaches the members of the sample had in a week.

Question 2

In a sample you had 5403 out of 8796 voters who supported a candidate.Test the claim that the proportion of the population who supports the candidate is less than or equal to 60% of the population. Use a significance level of .05.

Question 3

You developed a way to measure anger people.Test the claim that the mean score of anger for younger people is equal to the mean score for older people. Use a significance level of .06.The scores are listed below.

Scores for younger people:25, 23, 19, 8, 39, 29, 28, 18, 41, 3, 27, 35, 14, 25, 36, 4, 31

Scores for older people:38, 35, 31, 5, 19, 22, 15, 33, 54, 3, 55, 9, 15, 22, 47, 4, 41

Question 4

In a sample of 658 patients is was found that 38% of them had a certain decease.Test the claim that the proportion of people who have the decease is less than or equal to 35%. Use a significance level of .04.Don't forget to multiply the number of people by the percent to figure out the number of successes.

Question 5

You created a survey that measures depression in people. You want to test the claim that the mean measurement of depression that people have is greater than 6.3. A sample of 125 of you patients had a mean depression measurement of/x=6.9 and a standard deviation of 1.5.

Question 6

Test the claim that the proportion of males who have sleeping disorders is less than the proportion of sleeping disorders of females.In a sample of 284 males you found that 31% had a sleeping disorder. In a sample of 313 females 35% had sleeping disorders.Use a significance level of .10.Don't forget to multiply the number of people by the percent to figure out the number of successes.

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Question 7

You want to test the claim that a police department is doing racial profiling when they are pulling people over.In a sample of 451 Black citizens it was found that 109 of them had been pulled over while in another sample it was found that out of 434 of white citizens 78 of them had been pulled over.Test the claim that the two proportions are not equal. Use a significance level of .07.

Question 8

Test the claim that the mean of the first population is greater than or equal to the mean of the second population.Use a significance level of .05

Sample 1: sample size n=186meanstandard deviation s₁=3.7

Sample 2: sample sizen=214meanstandard deviation s2=4.1

Question 9

PAIRED DATA FOR THIS ONE.

You are conducting a study for a school to see if a program they are using is actually helping with test scores.

Test the claim that the mean of the differences is less than 0 (this means the second group is scoring higher). Use a significance level of .12.The data below is a before and after measurement of 10 students.

student 1/612,554

student 2/ 421,615

student 3/ 711, 654

student 4/ 625 ,711

student 5/ 589, 425

student 6/ 684, 715

student 7/ 812, 754

student 8 /652, 822

student 9/ 702, 735

student 10/ 835, 887

Question 10

USE CRITICAL VALUES FOR THIS ONE.

Test the claim that the proportion of students that voted from Menifee is equal to the proportion of students from San Jacinto.When you did the calculations, you got a test statistic of z=1.92.Use a significance level of .08.