Basic Computation: Expected Counts A gaming web site claimed that the distribution of video game console owners follows the following proportion: 40% PlayStation, 35% Xbox, and 25% Switch. Suppose a random sample of 80 gamers were surveyed. Create a table of expected counts for each of the categories of consoles.

For Problems 9–22, please provide the following information.

(a) What is the level of significance? State the null and alternate hypotheses.

(b) Find the value of the chi-square statistic for the sample.

Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?

(c) Find or estimate the P-value of the sample test statistic.

(d) Based on your answers in parts

(a) through (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?

(e) Interpret your conclusion in the context of the application.

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