A company claims that 43.3% of its lightbulbs of a certain type live for more th

Question

A company claims that 43.3% of its lightbulbs of a certain type live for more than 800 hours. A customer agrees to buy a large number of these lightbulbs as long as he first verifies this claim. Specifically, the customer will take a simple random sample of n lightbulbs of this type and observe the proportion of them lived for more than 800 hour. (a) Formulate the null hypothesis (b) State the test statistic, the decision rule at significance level a : 1%, and compute the resulting power function (they should both depend on n). population proportion of lightbulbs of this type that live for more than 800 hours is 41.3%? than 800 hours was 41.3%, is the null hypothesis rejected according to the decision rule in (b)? ower of o when (d) If the sample size was n- 81, and the proportion of lightbulbs in the sample that lived for more

Explanation / Answer

a) the hypothesis in the above question is that 43.3% of a certain type lightbulbs live for more than 800 hours

mathematically speaking; H1 (the hypothesis):  ? (the average) > (is greater than) 800

H0 (the null hypothesis) :  ?(the average) <or= (is less than or equal to) 800

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