will be made)? 14) EXTRA CREDIT: (8 pts total) A researcher claims that at least

Question

will be made)? 14) EXTRA CREDIT: (8 pts total) A researcher claims that at least 10% of all football helmets have manufacturing flaws that could potentially cause injury to the wearer. A sample of 200 helmets revealed that 16 helmets contained such defects. Does this finding support the researcher's claim? (6 pts) Conduct a hypothesis test for proportion of helmets with defects, and use level of significance -001. (2 pts) what is the p-value? ISE 5200 students only: 15) (14 pts total) The sugar content of the syrup in canned peaches has a variance, it is thought, equal to 2-18 mg2. A random sample of n s 4.8 mg O Type here to 10 cans yields a sample standard deviation of DOLL

Explanation / Answer

14.

Using Minitab Output:

Test and CI for One Proportion

Test of p = 0.1 vs p > 0.1

99% Lower
Sample X N Sample p Bound Z-Value P-Value
1 16 200 0.080000 0.035373 -0.94 0.827

Here P-value 0.827 > Alpha 0.01 so we do not reject the null hypothesis.

Therefore there is no evidence that to conclude the proportion of helmates with defects exceed 10%. The claim is not supported.

Hope this will be helpful. Thanks and God Bless You :)

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