A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 70%. A researcher decides to test whether or not that percentage still stands. He finds that, among the 220 high school seniors in his random sample, 135 believe that "getting rich" is an important goal. Can he conclude, at the 0.01 level of significance, that the proportion has indeed changed? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. a. State the null hypothesis H0 and the alternative hypothesis H1. b.Determine the type of test statistic to use c. Find the value of the test statistic. Round to three or more decimals.
A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 70%. A researcher decides to test whether or not that percentage still stands. He finds that, among the 220 high school seniors in his random sample, 135 believe that "getting rich" is an important goal. Can he conclude, at the 0.01 level of significance, that the proportion has indeed changed? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places.
a. State the null hypothesis H0 and the alternative hypothesis H1.
b.Determine the type of test statistic to use
c. Find the value of the test statistic. Round to three or more decimals.
The question is about hypothesis testing.
Given :
Proportion of high school seniors who believed the statement about getting rich ( p ) = 0.70
Randomly selected no. of high school seniors ( n ) = 220
No. of high school seniors amon n who believed the statement about getting rich ( x ) = 135
To find :
a ) Develop hypothesis for the test.
b ) Type of test
c ) Value of test statistic
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 11 images
