My p-value is 0.0235, would i accept or reject the null hypothesis? T-Mobile Wi-

Question

My p-value is 0.0235, would i accept or reject the null hypothesis?

T-Mobile Wi-Fi 1:46 PM * 58% Chi-Square (worth 5 extra points on final. Please complete the problem and submit on CANVAS. Forrest Rock 1. Rock-paper-scissors is a hand game played by two or more players choose to sign either rock paper or scissors with their hands. For your statistics class project, you want to evaluate whether players choose between these 3 options randomly, or if certain options are favored above others. You ask your friends to play rock-paper-scissors and count the times each option is played. The following table summarizes the data. Rock Paper Scissors 43 21 35 Using the testing for goodness of fit (chi-square), evaluate these data as to whether players choose between these 3 options randomly or if certain options are favored above others Assume the conditions are met. (Total sample size is 99, and expected counts are 1/3 x 99 for each option.) O- E)2 where k-total number of cells = df = k-1 State the null and alternative hypothesis: Ha : Some pi 6 1/3 Calculate the chi-square statistic, the degrees of freedom associated with it, and the p-value 43+21435-99 99*1/3-33 X2-(66-33)233(21-33)133 (35-33)23 37.48 df-3-1 p-value is less than 0.0001 Based on the p-value, what is your conclusion? This gives strong evidence that the choices made in a rock-paper scissors game are not all equally likely

Explanation / Answer

In the majority of analyses, an alpha of 0.05 is used as the cutoff for significance. If the p-value is less than 0.05, we reject the null hypothesis that there's no difference between the means and conclude that a significant difference does exist.

So, if your p value is less than alpha value then null will be rejected

Generally we take alpha = 0.05

So, your p (0.0235) < 0.05, null rejected

But if alpha = 0.01

then  your p (0.0235) > 0.01, null is not rejected

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