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Hypothesis Testing Blind Taste Test AP Statistics Target Audience: all high school students. Total Respondents / Test Subjects: 35 Main Purpose: Compare gummy bear flavors through consumer preferences Gummy Bear Test - Intro! Investigation Purpose: discovering whether or not people can actually determine the difference between gummy bear flavors - - Chose to use red and green because they are both fruit flavored and are fairly similar in taste DE AN Blind Taste - Hypothesis We predict that 70% of students can tell the difference between red and green [raspberry/strawberry flavored] Haribo gummy bears. The parameter we are measuring are HS students who can identify the difference. Our significance level will be 0.10 because it makes our test more sensitive to detecting differences. H: p = 0.7 H₂: p < 0.7 a α = 0.10 13 :) 02 Test - Data Collection Population The population we are looking to describe are all high school students. 01 Process For this hypothesis testing project, we used a SRS. During lunch, break, and afterschool, we approached random students, explained the purpose of our project and had them become our test subjects. We also kept a list of their names to make sure we don't repeat subjects. Data TEST NUMBER RESULT 1 incorrect 2 correct 3 correct 4 incorrect 5 incorrect 6 incorrect 7 correct 8 incorrect 9 incorrect 10 correct 11 correct 12 correct 13 incorrect 14 correct 15 incorrect 16 incorrect 17 correct 18 incorrect TEST NUMBER RESULT 19 correct 20 correct 21 correct 22 correct 23 incorrect 24 incorrect 25 incorrect 26 incorrect 27 correct 28 correct 29 incorrect 30 incorrect 31 incorrect 32 incorrect 33 incorrect 34 correct 35 incorrect TOTAL Incorrect Correct 20 15 Random SRS taken Independent- 35...
iOS User
Stefan S, iOS User
SuSSan, iOS User
≤0.1 (all TCHS students) Normal -35 (0.4286) ≥10 35 (0.5714) ≥ 10 sample dist. is approx. Normal 15≥10 2010 - Hypothesis Testing - p= proportion of TCHS Students that can taste the difference between red & green gummy bears Ho: p= 0.70 = 0.4286 Ha p< 0.70 Random- SRS taken Independent - 35 ≤0.1 (all TCHS students) Normal 35 (0.4286) ≥10 35 (0.5714) ≥ 10 sample dist. is approx. Normal *one proportion z sample test * Z= 0.4286-0.7 = -3.50 0.0002 0.7 (0.3) 35 α = 0.10 n = 35 15≥10 20210 = 15 35 Type I vs Type II Error Type I Error Us reporting that less than 70% of TCHS students could tell the difference when the true proportion was higher Consequence Students will contemplate reality and wonder if red/green really is their favorite flavor Kids and grown-ups love it Share Size HARIBO MARIBO Type II Error Gold Ibears To: From: 12 HARIBO Goldbears and grown-ups love it so Share Size appy world of Haribal CANDY NETWI 4 OZ (113 g) S Us reporting that 70% of TCHS students could tell the difference when they really couldn't Consequence Students will feel good about themselves DE Summary From our sample testing, 57% of TCHS students could NOT identify the correct gummy bear flavor when asked to close their eyes and take a guess. - - conclusion: we reject Ho because 0.0002 is less than α = 0.10. we have convincing evidence that the proportion of Temple City High School students who can determine the difference between red & green gummy bears is less than 0.70. B VD Thanks for listening! byebye ENG
statistics project using null and alternative hypotheses and how they can be interpreted
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Null and Alternative Hypothesis
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In inferential statistics, there are many different distributions, tests you can run, and conclusions you can make. This presentation was made so you csn understand how to choose correctly and efficiently!
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Hypothesis Testing Blind Taste Test AP Statistics Target Audience: all high school students. Total Respondents / Test Subjects: 35 Main Purpose: Compare gummy bear flavors through consumer preferences Gummy Bear Test - Intro! Investigation Purpose: discovering whether or not people can actually determine the difference between gummy bear flavors - - Chose to use red and green because they are both fruit flavored and are fairly similar in taste DE AN Blind Taste - Hypothesis We predict that 70% of students can tell the difference between red and green [raspberry/strawberry flavored] Haribo gummy bears. The parameter we are measuring are HS students who can identify the difference. Our significance level will be 0.10 because it makes our test more sensitive to detecting differences. H: p = 0.7 H₂: p < 0.7 a α = 0.10 13 :) 02 Test - Data Collection Population The population we are looking to describe are all high school students. 01 Process For this hypothesis testing project, we used a SRS. During lunch, break, and afterschool, we approached random students, explained the purpose of our project and had them become our test subjects. We also kept a list of their names to make sure we don't repeat subjects. Data TEST NUMBER RESULT 1 incorrect 2 correct 3 correct 4 incorrect 5 incorrect 6 incorrect 7 correct 8 incorrect 9 incorrect 10 correct 11 correct 12 correct 13 incorrect 14 correct 15 incorrect 16 incorrect 17 correct 18 incorrect TEST NUMBER RESULT 19 correct 20 correct 21 correct 22 correct 23 incorrect 24 incorrect 25 incorrect 26 incorrect 27 correct 28 correct 29 incorrect 30 incorrect 31 incorrect 32 incorrect 33 incorrect 34 correct 35 incorrect TOTAL Incorrect Correct 20 15 Random SRS taken Independent- 35...
Hypothesis Testing Blind Taste Test AP Statistics Target Audience: all high school students. Total Respondents / Test Subjects: 35 Main Purpose: Compare gummy bear flavors through consumer preferences Gummy Bear Test - Intro! Investigation Purpose: discovering whether or not people can actually determine the difference between gummy bear flavors - - Chose to use red and green because they are both fruit flavored and are fairly similar in taste DE AN Blind Taste - Hypothesis We predict that 70% of students can tell the difference between red and green [raspberry/strawberry flavored] Haribo gummy bears. The parameter we are measuring are HS students who can identify the difference. Our significance level will be 0.10 because it makes our test more sensitive to detecting differences. H: p = 0.7 H₂: p < 0.7 a α = 0.10 13 :) 02 Test - Data Collection Population The population we are looking to describe are all high school students. 01 Process For this hypothesis testing project, we used a SRS. During lunch, break, and afterschool, we approached random students, explained the purpose of our project and had them become our test subjects. We also kept a list of their names to make sure we don't repeat subjects. Data TEST NUMBER RESULT 1 incorrect 2 correct 3 correct 4 incorrect 5 incorrect 6 incorrect 7 correct 8 incorrect 9 incorrect 10 correct 11 correct 12 correct 13 incorrect 14 correct 15 incorrect 16 incorrect 17 correct 18 incorrect TEST NUMBER RESULT 19 correct 20 correct 21 correct 22 correct 23 incorrect 24 incorrect 25 incorrect 26 incorrect 27 correct 28 correct 29 incorrect 30 incorrect 31 incorrect 32 incorrect 33 incorrect 34 correct 35 incorrect TOTAL Incorrect Correct 20 15 Random SRS taken Independent- 35...
iOS User
Stefan S, iOS User
SuSSan, iOS User
≤0.1 (all TCHS students) Normal -35 (0.4286) ≥10 35 (0.5714) ≥ 10 sample dist. is approx. Normal 15≥10 2010 - Hypothesis Testing - p= proportion of TCHS Students that can taste the difference between red & green gummy bears Ho: p= 0.70 = 0.4286 Ha p< 0.70 Random- SRS taken Independent - 35 ≤0.1 (all TCHS students) Normal 35 (0.4286) ≥10 35 (0.5714) ≥ 10 sample dist. is approx. Normal *one proportion z sample test * Z= 0.4286-0.7 = -3.50 0.0002 0.7 (0.3) 35 α = 0.10 n = 35 15≥10 20210 = 15 35 Type I vs Type II Error Type I Error Us reporting that less than 70% of TCHS students could tell the difference when the true proportion was higher Consequence Students will contemplate reality and wonder if red/green really is their favorite flavor Kids and grown-ups love it Share Size HARIBO MARIBO Type II Error Gold Ibears To: From: 12 HARIBO Goldbears and grown-ups love it so Share Size appy world of Haribal CANDY NETWI 4 OZ (113 g) S Us reporting that 70% of TCHS students could tell the difference when they really couldn't Consequence Students will feel good about themselves DE Summary From our sample testing, 57% of TCHS students could NOT identify the correct gummy bear flavor when asked to close their eyes and take a guess. - - conclusion: we reject Ho because 0.0002 is less than α = 0.10. we have convincing evidence that the proportion of Temple City High School students who can determine the difference between red & green gummy bears is less than 0.70. B VD Thanks for listening! byebye ENG