Asurvey of 61 comma 646 people included several questions about office relationships. of the respondents, 26.5% reported that bosses scream at employees. use a 0.05 significance level to test the claim that more than 1 divided by 4 of people say that bosses scream at employees. how is the conclusion affected after learning that the survey is an online survey in which internet users chose whether to respond? identify the null hypothesis, alternative hypothesis, test statistic, p-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. use the p-value method. use the normal distribution as an approximation of the binomial distribution.

H ₀ : p ≤ 0.25

H ₁: p > 0.25

Test statics value  z = 12.91

Decision Rule:

Reject the value of null hypothesis

Conclusion:

If survey is online then there is sufficient evidence to claim . If the sample is  voluntary response sample then conclusion is not valid.

Step-by-step explanation:

step by step explanation is shown in attachment.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

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step-by-step explanation: