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Calculus 3

4 months, 3 weeks ago

What are the answers to this question? Please help me.

is it equally likely that people choose rock, paper or scissors when playing the game. So you are correct in our hypotheses, the null hypothesis is the distribution is going to be uniform. It's going to be the same across all categories. And then the alternative hypothesis is the distribution is not uniform, it's not going to be the same across all categories. So to decide which one of these is true, we have to get a test statistic which is our chi square. Now for the Chi Square, I need an expected value. So we had 99 people here that That chose each one of these categories in total. And if it's equally likely to choose each category, the expected counts are going to be 99 divided by three. So we would expect 33 people to choose rock, 33 people to choose paper, 33 people to choose scissors. And then to calculate our chi square, we do the observed value minus the expected value squared Divided by the expected count. And we do that for each category. So for paper it's going to be 21 -33 Squared over 33 plus. And then Scissors, -33 squared Divided by 33. And when you calculate that out, we get a chi square value of 7.51. So that's our test statistic. Now for the p value. Either using the chi square distribution critical value table or using technology. The p value for this comes out to be between 0.1 And .05. Now this p value is a pretty small P value, so that's going to cause us to reject the null hypothesis. So we're going to reject the null hypothesis. And you are right. In terms of the conclusion on this, the data provides sufficient evidence to claim that rock papers and scissors are not chosen equally as often as one another.

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