Question

A large food distributor claims that 45% of all individuals who purchase eggs from its grocery stores choose standard white eggs, 25% choose standard brown eggs, 20% choose organic eggs, and 10% choose free-range eggs. To investigate this claim, researchers collected data from a random sample of the distributor's customers in a large city. The results were 274 white, 159 brown, 126 organic, and 41 free-range egg purchases. Are the data from the sample consistent with the distributor's claim? Conduct an appropriate statistical test at the 5% significance level to support your conclusion. Make sure to include parameters, check conditions, and show calculations before formulating a conclusion. (10 points)

Answer 1

The conclusion based on the statistics is that 45% of all individuals who purchases eggs from its grocery store choose white eggs

How to illustrate the information?

It should be noted that the information given illustrates that the null alternative hypothesis have been illustrated.

The level of significance is 0.05. The test statistic will be 6.92. Therefore, the degree of freedom will be:

= 4 - 1 = 3

Therefore, from the chi square table, the critical value is 7.815. Since the test statistic is less than the critical value, we fail to reject the null hypothesis

Therefore, the conclusion is that 45% of all individuals who purchases m eggs from its grocery store choose white eggs.

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