sanuluy

2020-11-05

Test the claim that the proportion of people who own cats is significantly different than $50\mathrm{\%}$ at the 0.01 significance level.

Based on a sample of 300 people, $41\mathrm{\%}$ owned cats

Hint: Multiply to obtain the number of successes

$(\mathrm{\%}\text{}who\text{}owned\text{}cats)(n)\to (41\mathrm{\%})(300)$

The test statistic is: ? (to 2 decimals)

The p-value is: ? (to 4 decimals)

rogreenhoxa8

Skilled2020-11-06Added 109 answers

The number of success will be:

$0.41=\text{}\frac{x}{300}$

$x=0.41\text{}\cdot \text{}300$

$x=123$

It is necessary to test the following alternative and null hypotheses:

$Ho\text{}:\text{}p=0.50$

$Ha\text{}:\text{}p\ne 0.50$

The z-statistic is computed as follows:

$z=\text{}\frac{\overline{p}\text{}-\text{}{p}_{0}}{\sqrt{{p}_{0}(1\text{}-\text{}{p}_{0})/n}}=\text{}\frac{0.41\text{}-\text{}0.50}{\sqrt{0.50(1\text{}-\text{}0.50)/300}}=\text{}-3.118$

The required P-value can be obtained by using the standard normal table. For this case, first, find the area under the standard normal curve to the left of the z score of -3.12 (approx to two decimal places). The required area is 0 .000904. Now, this area should be doubled to reflect the nature of a two-tailed test that is 0.0018. Hence, the required P-value is 0.0018.

As the p-value 0.0018 is less than 0.01 level of signfiicance, the null hypothesis is rejected.

The test statistic is: -3.12(to 2 decimals)

The p-value is: 0.0018 (to 4 decimals)

Which expression has both 8 and n as factors???

One number is 2 more than 3 times another. Their sum is 22. Find the numbers

8, 14

5, 17

2, 20

4, 18

10, 12Perform the indicated operation and simplify the result. Leave your answer in factored form

$\left[\frac{(4x-8)}{(-3x)}\right].\left[\frac{12}{(12-6x)}\right]$ An ordered pair set is referred to as a ___?

Please, can u convert 3.16 (6 repeating) to fraction.

Write an algebraic expression for the statement '6 less than the quotient of x divided by 3 equals 2'.

A) $6-\frac{x}{3}=2$

B) $\frac{x}{3}-6=2$

C) 3x−6=2

D) $\frac{3}{x}-6=2$Find: $2.48\xf74$.

Multiplication $999\times 999$ equals.

Solve: (128÷32)÷(−4)=

A) -1

B) 2

C) -4

D) -3What is $0.78888.....$ converted into a fraction? $\left(0.7\overline{8}\right)$

The mixed fraction representation of 7/3 is...

How to write the algebraic expression given: the quotient of 5 plus d and 12 minus w?

Express 200+30+5+4100+71000 as a decimal number and find its hundredths digit.

A)235.47,7

B)235.047,4

C)235.47,4

D)234.057,7Find four equivalent fractions of the given fraction:$\frac{6}{12}$

How to find the greatest common factor of $80{x}^{3},30y{x}^{2}$?