Using the z-distribution, it is found that since the <u>test statistic is less than the critical value for the right-tailed test</u>, it is found that this does not provide convincing evidence that the proportion of pennies in her containers that are pre-1982 copper pennies is greater than 0.132.
At the null hypothesis, it is <u>tested if the proportion of pennies in her containers that are pre-1982 copper pennies not greater than 0.132</u>, that is:

At the alternative hypothesis, it is <u>tested if it is greater</u>, that is:

The test statistic is given by:
In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
In this problem, the parameters are:

Hence, the value of the <em>test statistic</em> is given by:



The critical value for a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, using a <u>0.05 significance level,</u> is of
.
Since the <u>test statistic is less than the critical value for the right-tailed test</u>, it is found that this does not provide convincing evidence that the proportion of pennies in her containers that are pre-1982 copper pennies is greater than 0.132.
You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918