Please show how to find the test statistic. Josh ran an experiment to test optimum power and time settings for microwave popcorn. His goal was to deliver popcorn with fewer than 11% of the kernels left unpopped, on average. He determined that power 9 at 4 minutes was the bestcombination. Complete parts a) and b) below.a) He concluded that this popping method achieved the goal of fewer than 11% of the kernels left unpopped. If it really does not work that well, what kind of error did Josh make?Type Il errorType I errorb) To be sure that the method was successful, he popped 8 more bags of popcorn (selected at random) at this setting. All were of high quality, with the percentages of unpopped kernels shown below.12.4, 2.9, 8.6, 8.1, 13.4, 3.2, 2.7, 9.5 ODoes this provide evidence that he met his goal of an average of fewer than 11% unpopped kernels? Assume a = 0.05.Choose the correct null and alternative hypotheses.A. Ho μ= 11HA: µ<11B. H μή11HA: H=11Ho: H = 11HẠ: µ#11D. H: μ= 11HA: µ> 11O F. Ho: µ> 11HA: H= 11Е. Но: <11HẠ: µ= 11%3DCalculate the test statistic.t=(Round to three decimal places as needed.)

Given: No. of bags, n=8 Percentage of unpopped kernels (X) 12.4 2.9 8.6 8.1 13.4 3.2…

Answered: Calculate the test statistic. t-0…

Math

Statistics

Calculate the test statistic. t-0 (Round to three decimal places as needed.)

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 24CT

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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

Please show how to find the test statistic.

Josh ran an experiment to test optimum power and time settings for microwave popcorn. His goal was to deliver popcorn with fewer than 11% of the kernels left unpopped, on average. He determined that power 9 at 4 minutes was the best
combination. Complete parts a) and b) below.
a) He concluded that this popping method achieved the goal of fewer than 11% of the kernels left unpopped. If it really does not work that well, what kind of error did Josh make?
Type Il error
Type I error
b) To be sure that the method was successful, he popped 8 more bags of popcorn (selected at random) at this setting. All were of high quality, with the percentages of unpopped kernels shown below.
12.4, 2.9, 8.6, 8.1, 13.4, 3.2, 2.7, 9.5 O
Does this provide evidence that he met his goal of an average of fewer than 11% unpopped kernels? Assume a = 0.05.
Choose the correct null and alternative hypotheses.
A. Ho μ= 11
HA: µ<11
B. H μή11
HA: H=11
Ho: H = 11
HẠ: µ#11
D. H: μ= 11
HA: µ> 11
O F. Ho: µ> 11
HA: H= 11
Е. Но: <11
HẠ: µ= 11
%3D
Calculate the test statistic.
t=
(Round to three decimal places as needed.)

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