Lemis Sweets Company (LSC) makes a special candy called HAPPYGR company claims that 30% of HAPPYGROW candy are red, 60% are yell Suppose a random sample of HAPPYGROW candy has 50 red ones, 45 ones. Is this consistent with LSC's claim? Conduct an appropriate hypoth level of significance. w (i) What is the name of a hypothesis test that could be used to test

College Algebra (MindTap Course List)
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Lemis Sweets Company (LSC) makes a special candy called HAPPYGROW for children. The
company claims that 30% of HAPPYGROW candy are red, 60% are yellow, and 10% are green.
Suppose a random sample of HAPPYGROW candy has 50 red ones, 45 yellow ones, and 5 green
ones. Is this consistent with LSC's claim? Conduct an appropriate hypothesis test using a 0.05
level of significance.
(i) What is the name of a hypothesis test that could be used to test LSC's claim?
(ii) Write down the null and alternative hypotheses for the test from part (i).
(iii) How large do the expected counts need to be for the test in part (i) to be appropriate?
(iv) Calculate the expected frequencies.
(v) Calculate the degrees of freedom for the test from part (i).
(vi) The hypothesis test returned a P-value of 0.001. Make a decision and conclusion for the
hypothesis test in context. Use a 5% significance level.
Transcribed Image Text:Lemis Sweets Company (LSC) makes a special candy called HAPPYGROW for children. The company claims that 30% of HAPPYGROW candy are red, 60% are yellow, and 10% are green. Suppose a random sample of HAPPYGROW candy has 50 red ones, 45 yellow ones, and 5 green ones. Is this consistent with LSC's claim? Conduct an appropriate hypothesis test using a 0.05 level of significance. (i) What is the name of a hypothesis test that could be used to test LSC's claim? (ii) Write down the null and alternative hypotheses for the test from part (i). (iii) How large do the expected counts need to be for the test in part (i) to be appropriate? (iv) Calculate the expected frequencies. (v) Calculate the degrees of freedom for the test from part (i). (vi) The hypothesis test returned a P-value of 0.001. Make a decision and conclusion for the hypothesis test in context. Use a 5% significance level.
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