A school social worker is interested in testing the claim that less than 89% of teenagers graduate from high school. To test this claim, the school social worker collects the following data on a sample of 380 teenagers and 320 of them graduated from high school. The following is the data from this study:

Sample size 380 teenagers
The alternative hypothesis is H: p< 0.89
The test statistic is calculated as zo =-2.98.

Find and interpret the p- value for this hypothesis test.

z= -2.93

|z| = |-2.93|=2.93there fore we accepted Alternative hypothesis

The calculated  z =2.93 > 1.6 the tabulated value at 89% level of significance.

A school social worker is interested in testing the claim that less than 89% of teenagers graduate from high school.

Step-by-step explanation:

Step(i)

Given sample of 380 teenagers and 320 of them graduated from high school

The proportion of sample is

Given a school social worker is interested in testing the claim that less than 89% of teenagers graduate from high school

The population proportion 'P' = 0.89

Null hypothesis:- H₀: p= 0.89

Alternative hypothesis: H: p< 0.89

Step(ii)

The test statistic

on calculation , we get

z = -2.93

|z| = |-2.93|=2.93

we will use 89% of level of z- score =1.6 (check  normal diagram)

The calculated  z =2.93 > 1.6 the tabulated value at 89% level of significance.

we rejected null hypothesis

we accepted alternative hypothesis

Conclusion:-

A school social worker is interested in testing the claim that less than 89% of teenagers graduate from high school.

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step-by-step explanation:

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: