A machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1. A can containing 500 of these mixed nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans. At the 0.05 level of significance, test the hypothesis that the machine is mixing the nuts in the ratio 5:2:2:1.

Statistics Notes Week of Oct. 24th 9.2: Hypothesis Test for Variables Forming a Null and Alternative Hypothesis Hypothesis Null Hypothesis: The conclusion that there is no correlation between the specified populations, meaning the populations are independent. ● The null hypothesis is written as Ho ● For example, if the sample is meant to prove that greater than 90% of students failed the last statistics test, the null hypothesis would be that Ho=0.90 ○ If the percent of students is equal to 90%, then the sample does not prove our conclusion. Alternative Hypothesis: The conclusion that there is a correlation between the specified populations. The alterna