Question

In: Statistics and Probability

calculate: PART A: Testing: H0:p=0.39H0:p=0.39 H1:p>0.39H1:p>0.39 Your sample consists of 79 subjects, with 33 successes. Calculate...

calculate:

PART A:

Testing:

H0:p=0.39H0:p=0.39
H1:p>0.39H1:p>0.39

Your sample consists of 79 subjects, with 33 successes. Calculate the test statistic, rounded to 2 decimal places

z=z=

PART B: You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.51. You use a significance level of α=0.02α=0.02.

H0:p=0.51H0:p=0.51
H1:p<0.51H1:p<0.51

You obtain a sample of size n=604n=604 in which there are 276 successes.

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

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

The p-value is...

less than (or equal to) αα
greater than αα

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 warrant rejection of the claim that the proportion of voters who prefer Candidate A is less than 0.51.
There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is less than 0.51.
The sample data support the claim that the proportion of voters who prefer Candidate A is less than 0.51.
There is not sufficient sample evidence to support the claim that the proportion of voters who prefer Candidate A is less than 0.51.

Expert Solution

PART A:

Your sample consists of 79 subjects, with 33 successes. Calculate the test statistic, rounded to 2 decimal places

Answer:

PART B: You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.51. You use a significance level of α=0.02

You obtain a sample of size n=604 in which there are 276 successes.

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

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

The p-value is...

Less than (or equal to)

This test statistic leads to a decision to...

Reject the null

As such, the final conclusion is that...

There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is less than 0.51.

orchestra answered 2 years ago

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