A sample of 66 people were asked which of 6 new flavours of crisps they prefer. The observed frequencies are as follows: Flavour Frequency Percent 1 : Onion Bhaji 8. 12.12 2 : Fish & Chips. 7 10.61 3 : Cajun Squirrel. 8 12.12 4 : Builder's Breakfast 24. 36.36 5 : Chilli & Chocolate. 7. 10.61 6 : Crispy duck & Hoisin 12. 18.18 Total 66 100% Carry out a hypothesis test to investigate if there is any evidence of a preference for any flavour, at significance level α = 0.05. Complete the test by answering the following questions : Which of the following is the correct choice of hypotheses for the test: a) H 0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6 versus H a: at least one pi ≠ 1/6 b) H 0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6 versus H a: p1 ≠ p2 ≠ p3 ≠ p4 ≠ p5 ≠ p6 ≠ 1/6 Insert your answer (a or b). Assuming the null hypothesis is true, the frequencies you would expect to see in the sample have value, E i = for all 6 categories (2 dec places). Fill in the following blanks; The test statistic has value TS= . The distribution is (examples: normal / t12 / chisquare4 / F5,6). Testing at significance level α = 0.05, the rejection region is: (less/greater) than (2 dec places). Since the test statistic (is in/is not in) the rejection region, there (is evidence/is no evidence) to reject the null hypothesis, H 0 Which of the following is the correct conclusion for this test: a) There is no evidence of a preference for any one flavour. b) There is evidence of a preference for one or some flavours over the others, since there is evidence that the proportions are not equal. Insert your answer (a or b). When checking the validity of any assumptions required for the inference made here to be valid, which of the following is the correct statement: a) The sample size is large enough since the total size is greater than 30. b) The sample size is large enough since the smallest expected value is larger than 5. c) The sample size is large enough since the smallest observed value is larger than 5. Insert your answer (a, b or c).
A sample of 66 people were asked which of 6 new flavours of crisps they prefer. The observed frequencies are as follows:
Flavour Frequency Percent
1 : Onion Bhaji 8. 12.12
2 : Fish & Chips. 7 10.61
3 : Cajun Squirrel. 8 12.12
4 : Builder's Breakfast 24. 36.36
5 : Chilli & Chocolate. 7. 10.61
6 : Crispy duck & Hoisin 12. 18.18
Total 66 100%
Carry out a hypothesis test to investigate if there is any evidence of a preference for any flavour, at significance level α = 0.05.
Complete the test by answering the following questions :
Which of the following is the correct choice of hypotheses for the test:
a) H 0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6 versus H a: at least one pi ≠ 1/6
b) H 0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6 versus H a: p1 ≠ p2 ≠ p3 ≠ p4 ≠ p5 ≠ p6 ≠ 1/6
Insert your answer (a or b).
Assuming the null hypothesis is true, the frequencies you would expect to see in the sample have value,
E i = for all 6 categories (2 dec places).
Fill in the following blanks;
The test statistic has value TS= .
The distribution is (examples: normal / t12 / chisquare4 / F5,6).
Testing at significance level α = 0.05, the rejection region is:
(less/greater) than (2 dec places).
Since the test statistic (is in/is not in) the rejection region, there (is evidence/is no evidence) to reject the null hypothesis, H 0
Which of the following is the correct conclusion for this test:
a) There is no evidence of a preference for any one flavour.
b) There is evidence of a preference for one or some flavours over the others, since there is evidence that the proportions are not equal.
Insert your answer (a or b).
When checking the validity of any assumptions required for the inference made here to be valid, which of the following is the correct statement:
a) The
b) The sample size is large enough since the smallest expected value is larger than 5.
c) The sample size is large enough since the smallest observed value is larger than 5.
Insert your answer (a, b or c).
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