Question

1. The probability of committing a Type II error changes for each alternative value of the parameter.

True

False

2. When conducting a hypothesis test on a population proportion, the value of q is defined as p + 1.

True

False

4. The customer help center in your company receives calls from customers who need help with some of the customized software solutions your company provides. Previous studies had indicated that 20% of customers who call the help center are Hispanics whose native language is Spanish and therefore would prefer to talk to a Spanish-speaking representative. This figure coincides with the national proportion, as shown by multiple larger polls. You want to test the hypothesis that 20% of the callers would prefer to talk to a Spanish-speaking representative. You conduct a statistical study with a sample of 35 calls and find out that 11 of the callers would prefer a Spanish-speaking representative. The significance level for this test is 0.01. The value of the test statistic obtained is _____.

		0.008
		0.29
		0.58
		1.69
		1.73

Answer 1

The probability of committing a Type II error changes for each alternative value of the parameter.
[ANSWER] True
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When conducting a hypothesis test on a population proportion, the value of q is defined as p + 1.
[ANSWER] FALSE
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Given that,
possible chances (x)=11; sample size(n)=35
success rate ( p )= x/n = 0.3143
success probability,( po )=0.2
failure probability,( qo) = 0.8
level of significance, alpha = 0.01
from standard normal table, two tailed z alpha/2 =2.576
since our test is two-tailed
reject Ho, if zo < -2.576 OR if zo > 2.576
we use test statistic z proportion = p-po/sqrt(poqo/n)
zo=0.31429-0.2/(sqrt(0.16)/35)
zo =1.6903
| zo | =1.6903
critical value
the value of |z alpha| at los 0.01% is 2.576
we got |zo| =1.69 & | z alpha | =2.576
make decision
hence value of |zo | < | z alpha | and here we do not reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p ≠ 1.69031 ) = 0.09097
hence value of p0.01 < 0.091,here we do not reject Ho
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the value of the test statistic: 1.69