How to solve the problems below?

Activity #6- Tests about a Proportion Name: Math 243 1. In 2009 an industry spokesperson said that over 82% of Americans owned a cellular phone. Test this claim using a signicance level of o = 0.05, given that in a random sample of 1234 Americans, 1023 owned a cell phone. What is f; ? (2 dec. places) a) Write the null and alternative hypotheses. Ha: Ha : b) To determine if the conditions are met to perform a ztest, complete the following. '2: a: lsn= 210? A Ian= 210? c) Write the rejection rule by lling in the blank: Reject Ho if pvalue d) Use STAT-TESTS1-PropZTest to nd the test statistic z and the pvalue. Z: pvalue = e) Draw a picture of the sampling distribution of P below and shade in the area that corresponds to the Jtrvalue you tau nd. Label axis with the appropriate values. f) State your conclusion and interpret its meaning in context of the original claim. (Use a = 0.05.)