Question

Exhibit 9-6

A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We

are interested in determining whether or not the proportion of the population in favor of Candidate A is

significantly more than 75%.

32. Refer to Exhibit 9-6. The test statistic is

a.

0.80

b.

0.05

c.

1.25

d.

2.00

33. Refer to Exhibit 9-6. The

p

-value is

a.

0.2112

b.

0.05

c.

0.025

d.

0.0156

34. Refer to Exhibit 9-6. At a .05 level of significance, it can be concluded that the proportion of the population in favor of

candidate A is

a.

significantly greater than 75%

b.

not significantly greater than 75%

c.

significantly greater than 80%

d.

not significantly greater than 80%

Please help me !!

Answer 1

the given data are:-

sample size (n) = 100

sample proportion () = 80/100 = 0.8

hypothesis:-

32).the test statistic is :-

[ here, to match the options i have to approximate the intermediate calculations to two decimal places.if you do not approximate intermediate calculations your test statistic be 1.15]

33).the p value is :-

[ using standard normal table ]

[ probably in question, this option has been mistakenly written as 0.0156 in spite of 0.1056 ]

34).At a 0.05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is:-

not significantly greater than 75% (c)

[ p value = 0.1056 >0.05 (Alpha)..so, we fail to reject the null hypothesis.]

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