9.
right-tailed parameter = μ
10.
left-tailed parameter = p
11.
two-tailed parameter = σ
12.
right-tailed parameter=p
13.
left-tailed parameter=μ
14.
two-tailed parameter=σ
15.
H0:p=0.105 H1:p>0.105 (b) We make a Type I error if the sample evidence leads us to reject H0 and conclude that the proportion of registered births to teenage mothers has increased above 0.105 when, in fact, it has not increased above 0.105 (c)We make a Type II error if the sample evidence does not lead us to conclude that the proportion of registered births to teenage mothers has increased above 0.105 when, in fact, the proportion of registered births to teenage mothers has increased above 0.105.
16.
H0 :μ=$17,072 H1:μ≠$17,072 (b) We make a Type I error if the sample evidence leads us to reject H0 and conclude that the mean charitable contribution per household in the U.S. is not $17,072 when, in fact, it is $17,072. (c) WemakeaTypeIIerrorifwedonot reject the null hypothesis that the mean charitable contribution is $17,072when, in fact, it is different than $17,072.
17.
H0 :μ=$218,600 H1:μ<$218,600 (b) We make a Type I error if the sample evidence leads us to reject H0 and conclude that the mean price of a single- family home had decreased below $218,600 when, in fact, it has not decreased below $218,600. (c) WemakeaTypeIIerrorifwedonot conclude that the mean price of a single- family home has decreased below $218,600, when, in fact, it has decreased below $218,600.
18.
H0 :μ=32ounces H1:μ<32ounces (b)We make a Type I error if the sample evidence leads us to reject H0 and conclude that the mean weight of the jars is less than 32 ounces when, in fact, the true mean weight is 32 ounces. (c)We make a TypeII error if we do not reject the null hypothesis that the mean weight of the jars is 32 ounces when, in fact, the true mean weight is less than 32 ounces.
19.
H0 :σ = 0.7 p.s.i. H1 :σ < 0.7 p.s.i. (b)We make a Type I error if the sample evidence leads us to reject H0 and conclude that the standard deviation in the pressure required is less than 0.7 p.s.i when, in fact, the true standard deviation is 0.7 p.s.i. (c)We make a TypeII error if we do not reject the null hypothesis that the standard deviation in the pressure required is 0.7 p.s.i when, in fact, the true standard deviation is less than 0.7 p.s.i.
20.
H0:p=0.196 H1:p>0.196 (b)We make a Type I error if the sample evidence leads us to reject H0 and conclude that the percentage of 6- to 11- year-olds who are overweight is higher than 19.6% when, in fact, it is 19.6%. (C)We make a Type II error if we do not reject the null hypothesis that the percentage of 6- to 11-year-olds who are overweight is 19.6% when, in fact, it is more than 19.6%.
21.
H0 : μ = $47.47 H1 : μ ≠ $47.47 (b) We make a Type I error if the sample evidence leads us to reject H0 and conclude that the mean monthly cell phone bill is not $47.47 when, in fact, it is $47.47. (c) WemakeaTypeIIerrorifwedonot reject the null hypothesis that the mean monthly cell phone bill is $47.47 when, in fact, it is different than $47.47.
7.
9.
11.
13.
About 27 in 100 samples will give a sample proportion as high as or higher than the one obtained if the population proportion really is 0.5. Because the probability is not small, we do not reject the null hypothesis. There is not sufficient evidence to conclude that the dart- picking strategy resulted in a majority of winners.
15.
pvalue=0.2578
do not reject the null hypothesis. There is not sufficient evidence to conclude that more than 1.9% of Lipitor users experience flulike symptoms as a side effect.
17.
pvalue=0.1401
fail to reject the null hypothesis. There is not sufficient evidence to conclude that a majority of adults believe they will not have enough money for retirement.
19.
pvalue=0.0047
reject the null hypothesis. There is sufficient evidence to conclude that the percentage of employed adults who feel basic mathematical skills are critical or very important to their job has increased since August, 2003.