A company needs to determine the optimum power and time settings for their new l

Question

A company needs to determine the optimum power and time settings for their new licorice-flavored popcorn. They want to find a combination of power and time that delivers high-quality popcorn with less than 10% of the kernels left unpopped, on average- a value that their market research says is demanded by their customers. Their research department experiments with several settings and determines that power 9 at 4 minutes is optimum. Their tests confirm that this setting meets the less than 10% requirement. They change the instructions on the box and promote a new money back guarantee of ess than 10% unpopped kernels. Complete a s a and (b). A They have made a Type l error. Customers will be disappointed to find more than 10% unpopped kernels. They may demand ther money back. , B. They have made a Type II error. Customers will be disappointed to find more than 10% unpopped kernels. They may demand their money back. C They have made a Type I error. Customers will be disappointed to find less than 10% unpopped kernels. They may demand their money back. 0 D. They have made a Type II error. Customers will be disappointed to find less than 10% unpopped kernels. They may demand their money back. b) To be sure that the method was successful, the research department 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. 12.9, 11.2, 7.1, 106, 62, 38, 11.8.4.1 Does this provide evidence that they met their goal of an average of fewer than 10% unpopped kernels? Assume =0.05. What is the value of the test statistic? The test statistic is 1.21. (Round to two decimal places as needed.) What is the P-value of the test statistic? P-value 0.133 (Round to three decimal places as needed.) Does this provide evidence that they met their goal of an average of fewer than 10% unpopped kernels? Assume = 0.05. Choose the correct answer below Yes! there is | enough evidence to conclude that | more than | 10% of the kernels were left unpopped. The company should I fail to reject the null hypothesis.

Explanation / Answer

Since p - value is greater than 0.05, we do not reject the null hypothesis. Hence, the correct options will be:

No; is not; more than; Fail to reject

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