Question

Test H_{0}: p= 0.5 vs H_{a}: p > 0.5 using a
sample proportion of p^ = 0.57 and a sample size of n= 40. What is
the standardized test statistic, z?

A |
0.885 |

B |
0.07 |

C |
0.871 |

D |
0.894 |

Test H_{0}: p= 0.5 vs H_{a}: p > 0.5 using a
sample proportion of p^= 0.57 and a sample size of n= 40. Using
your standardized test statistic from the previous question,
compute the p-value for this hypothesis test.

Hint: the sign in H_{a} tells you to look in a specific
tail of the normal distribution

A |
0.284 |

B |
0.309 |

C |
0.025 |

D |
0.188 |

Answer #1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H0 : p =0.5

Ha : p > 0.5

= 0.57

P0 = 0.5

1 - P0 = 1-0.5=0.5

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

=0.57-0.5 / [(0.5*0.5) / 40]

Z= 0.885

Test statistic = z =0.885

(B)P(z > 0.885 ) = 1 - P(z < 0.885 ) = 1-0.8119=0.188

P-value = 0.188

Test H0 : p = 0.25 vs Ha : p < 0.25 using the sample results
p^=0.16 with n = 100

For a test of H0: p = 0.33 vs. Ha: p ≠ 0.33, the sample of size
101 shows 47 successes. Find the z test statistic. Round to two
decimal places

1.For testing H0 : p = 0.5 vs. Ha : p < 0.5 at level α, let a
sample of size n = 100 is taken. What would be an appropriate
rejection region?
A. t0 < tα B. z0 < zα C. z0 > zα D. |z0| > zα/2
2. A test statistic
A. is a function of a random sample used to test a hypothesis.
B. is a function of a parameter used to test a hypothesis. C. is...

A test of H0: p = 0.5 versus Ha: p >
0.5 has the test statistic z = 1.15.
Part A: What conclusion can you draw at the 5%
significance level? At the 1% significance level? (6 points)
Part B: If the alternative hypothesis is
Ha: p ≠ 0.5, what conclusion can you draw at the 5%
significance level? At the 1% significance level?

Truth p ~ Two samples are drawn to test the
hypothesis, H0: p = 0.5 vs HA: p <0.5 n1=n2=123 However, the
samples yield different sample proportions.
Consider the statement:
The samples will produce different p-values for the hypothesis
test above.
Is this statement always true, sometimes true or never true?

H0: ϻ ≤ 16.74 VS HA: ϻ > 16.74
What is the test statistic for sample of size 22, mean 13.56,
and standard deviation 2.69? Enter the test statistic with 2
decimal places.

: Consider the test of H0 : p = 0.7 Vs. Ha : µ > 0.7 using a
random sample of 400 values and α = 1%. Find the power of the test
when pa = 0.75.

Consider the following hypothesis test.
H0: p = 0.30
Ha: p ≠ 0.30
A sample of 500 provided a sample proportion
p = 0.275.
(a)
Compute the value of the test statistic. (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)
p-value =
(c)
At
α = 0.05,
what is your conclusion?
Do not reject H0. There is sufficient
evidence to conclude that p ≠ 0.30.Do not reject
H0. There...

Consider the following hypothesis test.
H0: p = 0.20
Ha: p ≠ 0.20
A sample of 400 provided a sample proportion
p = 0.185.
(a)
Compute the value of the test statistic. (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)
p-value =
(c)
At
α = 0.05,
what is your conclusion?
Do not reject H0. There is sufficient
evidence to conclude that p ≠ 0.20.Reject
H0. There is sufficient...

If we test H0: u=40 vs Ha: u < 40, this test it
A. One sided (left tail)
B. One sided (right tail)
C. Two sided
D. Robust

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 24 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago