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A major food manufacturer is concerned that the sales for its skinny french fries have been decreasing. As a part of a feasibility study, the

A major food manufacturer is concerned that the sales for its skinny french fries have been decreasing. As a part of a feasibility study, the company conducts research into the types of fries sold across the country to determine if the type of fries sold is INDEPENDENT of the area of the country. The results of the study are shown in the table below. Conduct a test of INDEPENDENCE. (Use a significance level of 0.05.) Type of Fries Northeast South Central West skinny fries 71 50 19 25 curly fries 100 60 14 30 steak fries 21 40 9 9

Part (a)State the null hypothesis. The types of fries sold are DEPENDENT on the location. The types of fries sold are INDEPENDENT of the location. Part (b)State the alternative hypothesis. The types of fries sold are INDEPENDENT of the location. The types of fries sold are DEPENDENT on the location. Part (C)What is the test statistic? (Round your answer to two decimal places.) Part (D)What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem.IfH0is false, then there is a chance equal to thep-value that the value of the test statistic will be equal to or greater than the calculated value. IfH0is false, then there is a chance equal to thep-value that the value of the test statistic will be equal to or less than the calculated value. IfH0is true, then there is a chance equal to thep-value that the value of the test statistic will be equal to or greater than the calculated value. IfH0is true, then there is a chance equal to thep-value that the value of the test statistic will be equal to or less than the calculated value. Part (E)Indicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate conclusion.(i) Alpha: = (ii) Decision:reject the null hypothesis do not reject the null hypothesis (iii) Reason for decision:Sincep-value, we reject the null hypothesis. Since>p-value, we do not reject the null hypothesis. Since

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