Homework SourseWrite the claim mathematically and identify the null hypothe
Write the claim mathematically and identify the null hypothesis and the alternative hypothesis. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic. (d) Decide whether to reject or fail to reject the null hypothesis. In a sample of 1780 home buyers, you find that 737 home buyers found their real estate agent through a friend. At a 0.08, can you reject the claim that 42% of home buyers find their real estate agent through a friend?
Which of the following correctly sates the null and alternative hypothesis?
Null hypothesis: p less than or equal 0.42 / Alternative hypothesis: p greater than 0.42
Null hypothesis: p greater than or equal 0.42 / Alternative hypothesis: p is less than equal to 0.42
Null hypothesis: p is equal 0.42 / Alternative hypothesis: p does not equal 0.42
Null hypothesis: p greater than or equal 0.42 / Alternative hypothesis: p less than 0.42
Null hypothesis: p equal 0.42 / Alternative hypothesis: p is less than 0.42
Null hypothesis: p less than 0.42 / Alternative hypothesis: p greater than or equal 0.42
What is (are) the critical value(s) z0?
Which area should be shaded? (two-tailed, left-tailed, or right-tailed)
What is he standardized test static?
Z =
Which is the correct conclusion for the test?
Fail to reject the null hypothesis. There is enough evidence to reject the claim that 42% of buyers find their real estate agent through a friend.
Reject the null hypothesis. There is not enough evidence to reject the claim that 42% of buyers find their real estate agent through a friend.
Reject the null hypothesis. There is enough evidence to reject the claim that 42% of buyers find their real estate agent through a friend.
Fail to reject the null hypothesis. There is not enough evidence to reject the claim that 42% of buyers find their real estate agent through a friend.
Solution
Null hypothesis: p is equal 0.42 / Alternative hypothesis: p does not equal 0.42
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What is (are) the critical value(s) z0?
It is a two-tailed test.
Given a=0.08, the critical values are Z(0.04) =-1.75 or 1.75 (from standard normal table)
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Which area should be shaded? (two-tailed, left-tailed, or right-tailed)
Answer: two-tailed
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What is he standardized test static?
Z=(phat-p)/sqrt(p*(1-p)/n)
=(737/1780-0.42)/sqrt(0.42*(1-0.42)/1780)
=-0.51
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Fail to reject the null hypothesis. There is not enough evidence to reject the claim that 42% of buyers find their real estate agent through a friend.
