Identify the Claim.

In this hypothesis test, we are assessing if the proportion of Americans supporting the legalization of marijuana has increased significantly from 12% in 1960 to the current level, which is suggested to be higher based on he recent Pew Research center poll.

Give symbolic form.

H: p 0.12 must be true.

H: P > 0.12 must be false.

P= proportion of Americans supporting legalization

Identify Null and Alternative Hypothesis.

The null hypothesis H is that the current rate of support is equal to or less than the 12% level in 1969. The alternative hypothesis H is that the current rate of support is greater than 12%.

H: p 0.12 must be true. (null hypothesis)

H: P > 0.12 must be false. (alternative hypothesis)

Select Significance Level

The significance level is = 0.01 Normal (z)

Identify the test statistic.

Test for a z- test because we are dealing with the proportion and comparing it to the value of 12% and the sample size is large in size.

a. Using the information above calculate the test statistic using, use =NORM.DIST((p-hat - p )/SQRT( pq/n), 0, 1, TRUE). in excel then, draw a graph and show the test statistic and P value.

b. then Make a Decision

If the z value is larger than the critical value, (2.33 for one tailed test at 0.01 significance level), we reject the null hypothesis.