Question

Do women and men differ in how they perceive their life expectancy? A researcher asked a sample of men and women to indicate their life expectancy. This was compared with values from actuarial tables, and the relative percent difference was computed; perceived life expectancy minus life expectancy from actuarial tables was divided by life expectancy from actuarial tables and converted to a percent. The relative percent differences for all men and women over the age of 7070 in the sample are given.

Men	−28−28	−23−23	−20−20	−19−19	−14−14	−13−13
Women	−20−20	−19−19	−15−15	−12−12	−10−10	−8−8	−5−5

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The given data shows output for the two‑sample ?t test using Option 1. This output is from CrunchIt! software, which does Option 1 without rounding or truncating the degrees of freedom.

Do men and women over 7070 years old differ in their perceptions of life expectancy? There is somewhat strong evidence that men and women differ in their views on their own longevity; we would reject ?0H0 at the 10%10% level but not at the 5%5% level.

In this study, by what percent did men underestimate their average life expectancy, and by what percent did women underestimate their average life expectancy? (Enter your answers rounded to two decimal places.)

men%:

women%:

%%

If these samples can be viewed as SRSs, then under ?0:?1=?2H0:μ1=μ2 , a difference in the sample means as great as the one observed is how many standard errors below expected? (Enter your answer to three decimal places.)

standard errors:

About what percent of the time under repeated sampling would a more extreme difference have occurred by chance alone? (Enter your answer to two decimal places.)

percent% of time:

Answer 1