A random sample of 130130 observations is selected from a binomial population with unknown probability of success ?p. The computed value of ?̂p^is 0.780.78. (1) Test ?0:?=0.5H0:p=0.5 against ??:?>0.5Ha:p>0.5. Use ?=0.01α=0.01. test statistic ?=z=
A random sample of 130130 observations is selected from a binomial population with unknown probability of success ?p. The computed value of ?̂p^is 0.780.78.
(1) Test ?0:?=0.5H0:p=0.5 against ??:?>0.5Ha:p>0.5. Use ?=0.01α=0.01.
test statistic ?=z=
critical ?z score
The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that ?=0.5p=0.5.
B. We can reject the null hypothesis that ?=0.5p=0.5 and accept that ?>0.5p>0.5.
(2) Test ?0:?=0.55H0:p=0.55 against ??:?<0.55Ha:p<0.55. Use ?=0.01α=0.01.
test statistic ?=z=
critical ?z score
The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that ?=0.55p=0.55.
B. We can reject the null hypothesis that ?=0.55p=0.55 and accept that ?<0.55p<0.55.
(3) Test ?0:?=0.5H0:p=0.5 against ??:?≠0.5Ha:p≠0.5. Use ?=0.05α=0.05.
test statistic ?=z=
positive critical ?z score
negative critical ?z score
The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that ?=0.5p=0.5.
B. We can reject the null hypothesis that ?=0.5p=0.5 and accept that ?≠0.5p≠0.5.
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