• Use the P-value method.
• use Excel. and drawing a graph
• To calculate the p-value, use =NORM.DIST((p-hat - p )/SQRT( pq/n), 0, 1, TRUE).
• p-hat is the value found from the sample.
• p is the value used in H₀ and H₁.
• q = 1 - p
• n is the sample size.

For a left tailed test, the p-value is the answer found here.

For a right tailed test, the p-value is 1 - the answer found here.

For a two tailed test, set the value found using Excel to N.

If the sample proportion (p-hat) is less than the null value (p), then p-value = N * 2.

If the sample proportion (p-hat) is greater than the null value (p), then p-value = (1-N) * 2.

legalization of Marijuana In 1969, only 12% of Americans were in favor of legalizing marijuana. A recent Pew Research Center poll of 1201 adults showed that 57% of them supported the legalization of marijuana. Use a 0.01 significance level to test the claim that the current rate of support is greater than the 12% level in 1969.