A certain index tracks daily. A certain index tracks daily how people from a cer

Question

A certain index tracks daily.

A certain index tracks daily how people from a certain country evaluate their lives, both now and in five years, on a certain striving scale, where "0" represents the worst possible life and "10" represents the best possible life. Respondents are classified as "thriving" If they rate their current life a 7 or higher and their future life an 8 or higher. Daily results are based on a three-day rolling average, based on telephone interviews with 984 adults from that country. A recent report stated that 557 of 984 adults were thriving. Do these responses provide strong evidence that more than 53% of adults are thriving? Correct the mistake you find in the following student's attempt to test an appropriate hypothesis. Are the hypotheses correct? A. The hypotheses are correct. B. No because the hypotheses should be H_0:p = 0.53 vs. H_A: p > 0.53 C. No because the hypotheses should be H_0: p = 0.53 vs. H_A: p notequalto 0.53 D. No because the hypotheses should be H_0:p = 0.53 vs. H_A: p notequalto 0.53 Did the student address all of the conditions correctly? A. Yes, The conditions are correct. No because the correct conditions are SRS, 984

Explanation / Answer

1) Option (B) is correct.

2) (C) No because the correct conditions are SRS, 984, np = 521.52 , nq = 462.48 are large enough.

3) If the level of significance was 0.05 then we should have calculated a one-sided confidence interval as the following,

0.566 + 1.645(0.016) = 0.592 , the interval will be, [ 0.592 , 1) .

4) (A) The interpretation is correct.

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