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Anestetic [448]
2 years ago
11

it is claimed that proportion in favor of proportion A is greater than 60%. A sample of size 100 found 69 in favor. what is the

alternative hypothesis, and what is (are) the critical value
Mathematics
1 answer:
GenaCL600 [577]2 years ago
7 0

Answer:

The alternative hypothesis is H_1: p > 0.6.

The critical value is Z_c = 1.645

Step-by-step explanation:

It is claimed that proportion in favor of proportion A is greater than 60%.

This means that at the null hypothesis, we test if the proportion is of at most 60%, that is:

H_0: p \leq 0.6

At the alternative hypothesis, we test if the proportion is more than 60%, that is:

H_1: p > 0.6

What is (are) the critical value?

The critical value is the value of Z with a p-value 1 subtracted by the standard significance level of 0.05, since we are testing if the mean is more than a value, so, looking at the z-table, Z_c = 1.645

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