1 — Hypothesis Testing LEARNING OBJECTIVE: Determine the null and alternative hypothesis in a given situation. Jackson wants to test an assumption on the number of red candies in a bag of Fruity Tooty's candy. The company claims that five flavors are given an equal distribution in each bag, meaning that the proportion of each color should be 20%. Jackson decides to focus his efforts on examining whether there is a difference in the proportion of red candies than what the company claims. What should Jackson state for the null hypothesis and alternative hypothesis? a.) Null hypothesis: p ? 0.20 Alternative hypothesis: p = 0.20 b.) Null hypothesis: p = 0.20 Alternative hypothesis: p > 0.20 c.) Null hypothesis: p = 0.20 Alternative hypothesis: p ? 0.20 d.) Null hypothesis: p > 0.20 Alternative hypothesis: p < 0.20
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In this case, Jackson is testing the company's claim that the proportion of red candies is 20%. So, the null hypothesis should be: p = 0.20. The alternative hypothesis is what you might believe if the null hypothesis is rejected. Jackson is examining whether Show more…
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Jackson wants to test an assumption on the number of red candies in a bag of Fruity Tooty's candy. The company claims that five flavors are given an equal distribution in each bag, meaning that the proportion of each color should be 20%. Jackson decides to focus his efforts on examining whether there is a difference in the proportion of red candies than what the company claims. What should Jackson state for the null hypothesis and alternative hypothesis? a.) Null hypothesis: p equals 0.20 Alternative hypothesis: p greater than 0.20 b.) Null hypothesis: p not equal to 0.20 Alternative hypothesis: p equals 0.20 c.) Null hypothesis: p equals 0.20 Alternative hypothesis: p not equal to 0.20 d.) Null hypothesis: p greater than 0.20 Alternative hypothesis: p less than 0.20
Lien L.
Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 25%. Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. H0: p = 0.25 H1: p < 0.25 B. H0: p ≠ 0.25 H1: p = 0.25 C. H0: p = 0.25 H1: p > 0.25 D. H0: p = 0.25 H1: p ≠ 0.25 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Reject H0. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 25% B. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 25% C. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 25% D. Reject H0. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 25%
Qudsiya A.
Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section. In a study of the accuracy of fast food drive-through orders, McDonald's had 33 orders that were not accurate among 362 orders observed (based on data from $Q S R$ magazine). Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to $10 \%$. Does the accuracy rate appear to be acceptable?
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