A random sample of 100 people was taken 80 of the people in...

A random sample of 100 people was taken. 80 of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. The test statistic is a. 0.56 b. 1.15 c. 2.67 d. 1.29

Transcript

00:01 So in this question, the random symbol of 100 people are taken.

00:05 So the sample size denoted by n, this is going to be equals to 100.

00:12 And reading further, the eight of the people in the sample favored the candidate.

00:17 Okay? and a test is to be conducted and we are interested in determining whether or not the proportion of the population is in the favor of the candidate.

00:35 Is significantly more than 85%.

00:41 So we need to calculate the test statistics here.

00:46 So the p -hag which is the population proportion, this is going to be equals to the total number of people who are in the favor, who favored candidate which are 80 over total number of sample taken random samples.

01:07 Taken which is 100 so this thing the sample proportion is going to be equals to 0 .80 and the value of p here p is the population proportion the value of the p in our question is given as 65 that it is going to be equals to 65 % which is 0 .65 so mind it that the p is basically the population proportion it is basically population proportion and is the sample size and this p hat is estimated proportion this is estimated proportion all right now we are going to design our null hypothesis and alternative hypothesis so our null hypothesis which is united by h0 is such that the p is going to be equals to 0 .65 whereas our alternate hypothesis h a is such that is basically since significantly more than section 5 therefore the p is basically greater than or equals to 0 .65 now we are going to calculate t stacks so the t stacks is here the here you need to understand that the value of the end which is the sample size is greater than 30 since it is greater than 30 the test of the proportion is approximated by normal distribution...

Question

A random sample of 100 people was taken. 80 of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%. The test statistic is a. 0.56 b. 1.15 c. 2.67 d. 1.29

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