4. The "Just Born" candy company claims that the numbered candies in boxes of Mike'N Ikes is uniformly distributed. You randomly select a box of the candy; your results are shown below. Use \( \alpha = 0.10 \) to test the company's claim. State \( H_0 \) and \( H_a \) a. \( H_0: \) Color Observed Frequency Green 35 Blue 23 \( H_a: \) Red 41 Yellow 26 Pink 25 b. Add a column to the right of the Frequency column which lists the Expected Frequency. c. Use your calculator to identify the P-value (round to four decimal places). d. Decide whether to reject or fail to reject \( H_0 \) e. Interpret your decision in the context of the alternative hypothesis. Be sure to reference the level of significance. 5. A researcher wants to determine whether the number of days per week that college students go out to eat is related to gender. A random sample of 270 student volunteers is selected and the results are shown in the contingency table below. At \( \alpha = 0.05 \) test the claim that the number of days per week a student goes out to eat is dependent on gender. a. State \( H_0 \) and \( H_a \). \( H_0: \) Number of Days per Week the Student Eats Out \( H_a: \) Gender 0-1 2-3 4-5 6-7 Male 38 24 30 42 Female 34 34 41 27 b. Use your calculator to identify the P-value (round to four decimal places). c. Decide whether to reject or fail to reject \( H_0 \) d. Interpret your decision in the context of the alternative hypothesis. Be sure to reference the level of significance.
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Step 1: The null hypothesis (Ho) is that the numbered candies in boxes of Mike'N Ikes are uniformly distributed. Show more…
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