Question

John purchases a bag of marbles and observes and counts their colors. The bag contains 142 marbles of which 11 are orange. Use the critical value method and a 7% significance level to test the claim that the percentage of orange marbles is at most 11%.

How many populations are being tested?

Answer #1

Claim: The percentage of orange marbles is at most 11%.

The null and alternative hypothesis is

H0: P 0.11

H1: P > 0.11

Level of significance = 0.07

Sample size = n = 142

x = 11

Test statistic is

Critical value = 1.48

( From z table)

Test statistic | z | < Critical value we fail to reject the null hypothesis.

Conclusion:

The percentage of orange marbles is at most 11%.

142 populations are being tested.

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