You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly less than 0.66. You use a significance level of a=0.001. H0:P=0.66 H1:P<0.66You obtain a sample of size 176 in which there are 99 successes.What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)What is the p-value for this sample? (Report answer accurate to 4 decimal places.)This test statistic leads to a decision toreject the nullaccept the nullfail to reject the nullAs such, the final conclusion is thatthere is sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is less than 0.66.there is not sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is less than 0.66.there is sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is equal to 0.66.there is not sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is equal to 0.66.

Sample size n =176 Favorable cases x =99 Sample proportion p^=x/n =99/176 =0.5625

Answered: You are conducting a study to see if…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly less than 0.66. You use a significance level of a=0.001.

H0:P=0.66
H1:P<0.66

You obtain a sample of size 176 in which there are 99 successes.

What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)

What is the p-value for this sample? (Report answer accurate to 4 decimal places.)

This test statistic leads to a decision to

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that

there is sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is less than 0.66.
there is not sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is less than 0.66.
there is sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is equal to 0.66.
there is not sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is equal to 0.66.

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