Question

A manufacturer of soap bubble liquid will test a new solution formula. The solution will be approved if the percent of produced parisons, in which the content does not allow the bubbles to inflate, does not exceed 7\%. A random sample of 700 parisons contains 55 defective parisons. Formulate and test an appropriate set of hypotheses to determine whether the solution can be approved. Use $\alpha = 0.05$.

          A manufacturer of soap bubble liquid will test a new solution formula. The solution will be approved if the percent of produced parisons, in which the content does not allow the bubbles to inflate, does not exceed 7\%. A random sample of 700 parisons contains 55 defective parisons.

Formulate and test an appropriate set of hypotheses to determine whether the solution can be approved. Use $\alpha = 0.05$.
        
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A manufacturer of soap bubble liquid will test a new solution formula. The solution will be approved if the percent of produced parisons, in which the content does not allow the bubbles to inflate, does not exceed 7%. A random sample of 700 parisons contains 55 defective parisons.

Formulate and test an appropriate set of hypotheses to determine whether the solution can be approved. Use α = 0.05.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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A manufacturer of soap tests a new solution formula. The solution will be approved if the percentage of produced parisons, in which the content does not allow the bubbles to inflate, does not exceed 7%. A random sample of 700 parisons contains 55 defective parisons. Formulate and test an appropriate set of hypotheses to determine whether the solution can be approved. Use α = 0.05.
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Transcript

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00:01 Here in the first part, we have n is equal to 600, probability is equal to 0 .10, x is equal to 90.
00:13 Therefore, null hypothesis is equal to p hat naught is equal to 0 .10 and alternate hypothesis is equal to p naught hat is greater than, this is equal to 1 0, greater than 0 .10, p hat is equal to x divided by n which is equal to 0 .1533.
00:42 Z statistics is equal to p hat minus p naught divided by root over p naught multiplied by 1 minus p naught divided by n...
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