Question

chegg the number of successes and the sample size for a simple random sample from a population are given below. x​, n​, ​: p​, ​: p​, a. determine the sample proportion. b. decide whether using the​ one-proportion z-test is appropriate. c. if​ appropriate, use the​ one-proportion z-test to perform the specified hypothesis test.

Answer 1

Since, it is observed that z = -2.74 < $Z_{\alpha} = -2.33$, it is then concluded that the null hypothesis is rejected.

What is a left-tailed test?

When the alternative hypothesis asserts that the true value of the parameter indicated in the null hypothesis is lower than the null hypothesis indicates, a left-tailed test is utilized.

This is a left-tailed test.

Test statistics

$z = (\hat p - p_{0} ) / \sqrt{} p_{0}*(1-p_{0}) / n$

=  $\sqrt{} (0.4*0.6) / 45$$= ( 0.2 - 0.4) \div \sqrt{} (0.4*0.6) / 45$

= -2.74

The critical value of the significance level is α = 0.01, and the critical value for a left-tailed test is:

$Z_{\alpha} = -2.33$

Hence, it is observed that z = -2.74 < $Z_{\alpha} = -2.33$, it is then concluded that the null hypothesis is rejected.

To learn more about the left-tailed test visit,

https://brainly.com/question/29490388

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