Question

Consider testing

?0:?=.50H0:p=.50
??:?<.50Ha:p<.50

If the sample information produced a test statistic of ?=−1.17z=−1.17, then

p-value =

and

For each statement, select the correct null hypothesis, ?0H0, and alternative hypothesis, ??HA, in symbolic form.

(a) An industry trade publication claims that the population average size of a television sold in the US is 45 inches. The owner of an appliance stores believes the actual population mean size is larger than this. The store owner randomly selected 30 recent television purchasea and found that the sample average size was 48.7 inches.

A. ?0:?¯=48.7H0:x¯=48.7,   ??:?¯>48.7  HA:x¯>48.7
B. ?0:?=45H0:μ=45,   ??:?>45  HA:μ>45
C. ?0:?=48.7H0:μ=48.7,   ??:?≠48.7  HA:μ≠48.7
D. ?0:?=45H0:μ=45,   ??:?<45  HA:μ<45
E. ?0:?¯=45H0:x¯=45,   ??:?¯<45  HA:x¯<45
F. ?0:?>45H0:μ>45,   ??:?=45  HA:μ=45

(b) It is generally believed that the population mean age of residents of Cooper County is 40 years. A sociologist believes that, in reality, the population mean is less than generally believed. In order to collect evidence, the sociologist randomly samples 100 Cooper County residents and found the sample mean age to be 38.5 years.

A. ?0:?=40H0:μ=40,   ??:?≠40  HA:μ≠40
B. ?0:?¯=40H0:x¯=40,   ??:?¯>40  HA:x¯>40
C. ?0:?<40H0:μ<40,   ??:?>40  HA:μ>40
D. ?0:?¯=38.5H0:x¯=38.5,   ??:?¯<38.5  HA:x¯<38.5
E. ?0:?=40H0:μ=40 ,   ??:?<40  HA:μ<40
F. ?0:?=38.5H0:μ=38.5,   ??:?<38.5  HA:μ<38.5

(c) A coach claims that the population average resting pulse rate of football players is 50 beats per minutes. In order to determine if this claim is correct or not, a sample of 100 football players was selected. The sample showed a sample mean resting pulse rate of 52.5 beats per minute.

A. ?0:?=50H0:μ=50,   ??:?≠50  HA:μ≠50
B. ?0:?=50H0:μ=50,   ??:?<50  HA:μ<50
C. ?0:?¯=52.5H0:x¯=52.5,   ??:?¯≠52.5  HA:x¯≠52.5
D. ?0:?=52.5H0:μ=52.5,   ??:?≠52.5  HA:μ≠52.5
E. ?0:?¯=50H0:x¯=50,   ??:?¯>50  HA:x¯>50
F. ?0:?=50H0:μ=50,   ??:?>50  HA:μ>50

Answer 1