Find the standardized test statistic, z to test the hypothesis that p1 = p2. Use α = 0.05. The sample statistics listed below are from independent samples. Sample statistics: n1 = 50, x1 = 35, and n2 = 60, x2 = 40

The value of the standardized z-test statistic is 0.338.

Step-by-step explanation:

We are given the following hypothesis below;

Null Hypothesis, :  

Alternate Hypothesis, :  

The test statistics that will be used here is Two-sample z-test statistics for proportions;

                             T.S.  =    ~  N(0,1)

where, = sample proportion of the first sample = = = 0.70

= sample proportion of the second sample = = = 0.67

= size of the first sample = 50

= size of the first sample = 60

So, the test statistics =  

                                    =  0.338  

Hence, the value of the standardized z-test statistic is 0.338.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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the equivalent expression are always the hardest ones but you look at the gcf also

step-by-step explanation: