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Could someone please help me out with this... Suppose you are interested in the true proportion of red Skittles. Your instructor will compile the data

Could someone please help me out with this...

Suppose you are interested in the true proportion of red Skittles. Your instructor will compile the data from the entire class and post the number of skittles of each color and the total number of Skittles that were observed below. Check the conditions for computing a 95% confidence interval for redusing the class data. State whether or not the conditions are met and whether you believe the results you obtain in step B will be valid. Note: Even though the bags of Skittles in the class data set were selected conveniently by students, the Skittles were placed into the bags using an objective device (the machinery at the factory).

ColorFrequency
Red283
Orange253
Yellow232
Green275
Purple277
TOTAL1320

- Compute the confidence interval using GeoGebra and include an image that shows the inputs you entered and the output that resulted. Write an interpretation of the confidence interval in context.

*** https://www.rossmanchance.com/applets/2021/oneprop/OneProp.htm

- Refer to your results fromPart I. What was the proportion of red Skittles in your bag? Based on your confidence interval, was your proportion a likely value for the true proportion of red Skittles? Explain. On my results in part one, my proportion for Red skittles was 14/59=0.24.

- Check the conditions for carrying out a two-sided test of whetherp=0.2using the class data. State whether or not the conditions are met and whether you believe the results you obtain in part E will be valid. Note: two of the conditions are the same as the ones you checked in part A, but one condition will require a different calculation. - Write the hypotheses for the hypothesis test using statistical notation. Compute the hypothesis test using GeoGebra and include an image that shows the inputs you entered and the output that resulted. State whether you should reject or fail to reject the null hypothesis usingnull= 0.05. Write the conclusion in context. -Compare your hypothesis test results to the ones you obtained using simulation inPart I. Include the image of your simulation results fromPart Iagain in this part. Did you draw the same conclusions for your hypothesis tests inPart IandPart II? Is one more valid than the other? Why?

Part I

image text in transcribed
One Proportion Describe process: Most recent results Probability of success (TT): 0.2 Number of Successes = 18 Sample size (n): 59 Number of Failures = 41 Number of samples: 10,000 O Summary Statistics Show animation p.3256 1800 Draw Samples Total Samples = 10000 1200 Choose statistic: O Number of successes 600 O Proportion of successes Count samples As extreme as > 0.24 Count 0 0.07 0.14 0.20 0.27 0.34 0.41 $ 0.13561 2 0.2400 Proportion of samples: -Proportion of successes- (1352 + 1904) / 10000 = 0.3256 O Show previous results O Show sliders Options: Two-sided (between: 0 ) Exact Binomial O Normal Approximation

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