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18 September, 10:16

Consider the following hypothesis: "There is no relationship between income and amount of money spent on food." If the hypothesis presented is tested using a. 05 alpha level and the resulting p value is. 01, which of the following interpretations of the results is most appropriate? Group of answer choices There is no relationship between income and food expenditures There is a relationship between income and food expenditures As income increases, food expenditures increase As income decreases, the percentage of income spent on food increases None of the above

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  1. 18 September, 13:42
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    Correct option:

    "There is a relationship between income and food expenditures"

    Step-by-step explanation:

    Te hypothesis that is tested is:

    H₀: There is no relationship between income and amount of money spent on food.

    Hₐ: There is a significant relationship between income and amount of money spent on food.

    The significance level of the test is:

    α = 0.05

    The decision rule based on the p-value of the test is:

    If the p-value of the test statistic is less than the significance level then the null hypothesis is rejected. And if the p-value of the test statistic is more than the significance level then the null hypothesis is failed to be rejected.

    The p-value of the test is computed as,

    p-value = 0.01.

    The p-value = 0.01 < α = 0.05.

    The null hypothesis will be rejected at 5% level of significance.

    Conclusion:

    As the null hypothesis is rejected it can be concluded that there is a significant relationship between income and amount of money spent on food.

    Thus, the correct option is:

    "There is a relationship between income and food expenditures."
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